WO2014090121A1 - Method and apparatus for detecting signal - Google Patents

Method and apparatus for detecting signal Download PDF

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Publication number
WO2014090121A1
WO2014090121A1 PCT/CN2013/088818 CN2013088818W WO2014090121A1 WO 2014090121 A1 WO2014090121 A1 WO 2014090121A1 CN 2013088818 W CN2013088818 W CN 2013088818W WO 2014090121 A1 WO2014090121 A1 WO 2014090121A1
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layer
symbol
equivalent
vector
signal
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PCT/CN2013/088818
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French (fr)
Chinese (zh)
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吴凯
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电信科学技术研究院
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Publication of WO2014090121A1 publication Critical patent/WO2014090121A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891Spatial equalizers
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems

Definitions

  • the present invention relates to wireless communication technologies, and in particular, to a signal detection method and apparatus.
  • a signal detection method is a QR maximum-like (QRD-M) detection algorithm that retains M branches based on QR decomposition, and the detection algorithm is a kind of processing.
  • Maximum likelihood detection algorithm which uses a tree search method to select, for each layer of channel space, a plurality of constellation symbols that are most likely to transmit signals to the transmitting end of the layer in the tree search process, and The combination of the constellation symbols most likely to be the signal vector transmitted by the transmitting end is selected.
  • the combination of the constellation symbols is a vector, which is called a branch in the detection algorithm, and the combination of the constellation symbols is used as the detection result of the output.
  • MIMO Multiple Input Multiple Output
  • r is the received signal vector of W R xl
  • H is the channel matrix of N R xN
  • X represents the transmitted signal vector of ⁇ xl
  • n represents the noise vector of W R xl.
  • the QRD-M algorithm is usually implemented by tree search.
  • the tree search can be summarized as follows: Since the search of the signal transmitted by the channel space is not affected by other channel space, the search is performed from the layer, and the layer is searched. Calculating branch metrics of all constellation points in the layer of the tree structure, and the branch metric is specifically a symbol for calculating the influence of each constellation point and the symbol received by the channel space of the layer to remove the equivalent channel gain of the channel space of the layer The Euclidean distance is squared.
  • the search for other layers is based on the reserved branch of the previously searched symbol. The traversal of all constellation points is used to calculate the cumulative branch metric, and the M branches with the smallest cumulative score metric are retained in all constellation points. The reserved branch of the next layer of search.
  • QR decomposition is the triangular matrix decomposition on the unitary matrix, which is to decompose the matrix into a normalized orthogonal matrix, ie, the matrix Q and The triangle matrix R, so called the QR decomposition method.
  • a QR decomposition output Q matrix and an R matrix are performed on the channel matrix H.
  • the Q matrix is a unitary matrix
  • the R matrix is an upper triangular equivalent channel gain matrix, as shown in the following equation.
  • the initialization ⁇ ' ⁇ is an all-zero matrix of N L xM, and bm is a vector of 1 xM.
  • Step 2 As shown in Figure 1, proceed from layer 2 to layer 1. Search layer by layer to detect the signal vector sent by the sender.
  • the M metrics are the smallest among the Q branch metrics. Save bm and store the corresponding constellation point in the first line of ⁇ ' ⁇ .
  • Each layer keeps the smallest M BM corresponding branches in M ⁇ Q branches, stores the corresponding accumulated branch metrics into bm, and writes the corresponding searched layer reserved branches and constellation points reserved by the current layer to X' ⁇ .
  • the bm output after all symbol searches are completed is the branch metric corresponding to the remaining M smallest branches, and the reserved branch ⁇ 1 ⁇ contains the M branches corresponding to bm.
  • Step 3 In the uncoded system, the receiver converts the vector corresponding to the BM minimum to the bit output as the detection result. However, in a coded system, it is necessary to generate a log likelihood ratio (also called soft bit) of each bit input to the decoder. The process of generating a log-likelihood ratio is to use the difference between the minimum cumulative branch metric of the bit in the reserved branch and the minimum cumulative branch metric of the bit in the reserved branch as the output of the soft bit. As shown in the following formula:
  • the first layer represents a branch reserved "branch of the collection 3 ⁇ 4 bits ⁇ , x""indicates the first branch retention layer" 3 ⁇ 4 bits set to 1 of the branch, ", ⁇ ⁇ 1, ⁇ , ⁇ ⁇ , 3 ⁇ 4e ⁇ l,---,log 2 o indicates the layer of transmission
  • the number, 1 0 ⁇ 2 0 represents the modulation order.
  • the QRD-M detection algorithm has two shortcomings: First, in order to ensure the performance of the detection algorithm, the preset M is relatively large, and under each reserved branch, the branch metric under all constellation point hypotheses needs to be calculated. Resulting in a large number of branch metrics in the tree search; Second, in order to select the smallest M branch metrics and corresponding branch reservations, after each layer completes the calculation of the score metrics, it needs to be multiple The branch metrics are sorted. If the modulation order is high and M is large, the number of branch metrics is large, so the delay of sorting is relatively large.
  • M 16 is taken as an example.
  • the QRD-M algorithm needs to calculate 64 branch metrics, and needs 64 sorts and 16 sorts.
  • the QRD-M algorithm needs to calculate 64x16 branch metrics.
  • the QRD-M algorithm requires a 64x16-select 16 sort. The calculation and sorting of these branch metrics requires a lot of computing resources and brings a large processing delay.
  • the existing maximum likelihood detection algorithm has higher complexity and occupies more resources.
  • Embodiments of the present invention provide a signal detection method and apparatus to reduce the complexity of signal detection.
  • a signal detection method includes:
  • the receiving end determines an equivalent receiving vector according to a signal sequence received through the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
  • the receiving end determines, in the symbol corresponding to the channel space of the Nth layer, the equivalent channel of the corresponding layer in the equivalent receiving vector to remove the channel space of the layer according to the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition.
  • the symbol obtained after the influence of the gain is the closest to the set number of symbols, and each symbol determined is taken as a signal vector;
  • the receiving end determines the equivalent receiving vector for each of the most recently determined signal vectors, the upper triangular equivalent channel gain matrix
  • the element of the layer removes the decision symbol of the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and determines the set number of each decision symbol in the symbol corresponding to the channel space of the layer.
  • the closest candidate symbol, and based on all the candidate symbols, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, are determined to be composed of elements corresponding to the Nth layer to the current layer in the equivalent receiving vector.
  • the signal vector removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
  • the signal detection result is determined based on the signal vector determined in the layer 1 channel space.
  • a signal detecting device includes:
  • a first determining unit configured to determine an equivalent receiving vector according to a signal sequence received through the N-layer spatial multiplexing transmission system and a unitary matrix obtained by QR matrix QR decomposition;
  • a second determining unit configured to: in a symbol corresponding to the channel space of the Nth layer, an upper triangular equivalent channel gain matrix obtained by channel matrix QR decomposition, determining to remove the layer channel from an element corresponding to the corresponding receiving vector Space After the influence of the equivalent channel gain, the symbols obtained are the closest to the set number of symbols, and each symbol determined is taken as a signal vector;
  • a third determining unit configured to: for each channel space in the Nth layer channel space to the layer 1 channel space, the receiving end pairs the last determined each signal vector, and the triangular equivalent channel gain on the signal vector
  • the matrix determines a decision symbol in the equivalent receiving vector that removes the influence of the signal vector on the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and corresponds to each decision symbol in the channel space of the layer.
  • the symbol is determined to be the closest candidate symbol to be selected, and all the candidate symbols are selected, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined, and the corresponding correspondence vector is determined.
  • the signal vector composed of the symbols of the Nth layer to the current layer removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
  • a fourth determining unit configured to determine a signal detection result according to the signal vector determined in the layer 1 channel space.
  • the embodiment of the invention provides a signal detection method and device. When detecting a signal received by an N-layer spatial multiplexing transmission system, when detecting the N-1 layer to the first layer, the channel is first determined.
  • the spatially received symbol removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the layer channel space, and further determines the candidate symbols closest to the decision symbols, and then determines according to these Among the signal vectors determined by the candidate symbols, which are the closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space in the signal space received by the current channel space, the reserved signal vector of the layer can be determined, Only the candidate symbols determined according to the decision symbols need to be filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
  • FIG. 1 is a schematic diagram of a QRD-M algorithm tree search provided by the prior art
  • FIG. 2 is a flowchart of a signal detection method according to an embodiment of the present invention.
  • FIG. 3 is a flowchart of a method for detecting an Nth layer signal according to an embodiment of the present invention
  • FIG. 4 is a schematic diagram of a constellation area division according to an embodiment of the present invention.
  • FIG. 5 is a flowchart of a method for determining a reserved signal vector according to an embodiment of the present invention
  • FIG. 6 is a second flowchart of a signal detection method according to an embodiment of the present invention.
  • FIG. 7 is a schematic diagram of a signal detecting apparatus according to an embodiment of the present invention.
  • the embodiment of the invention provides a signal detection method and device.
  • the channel is first determined.
  • the spatially received symbol removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the layer channel space, and further determines the candidate symbols closest to the decision symbols, and then determines according to these Among the signal vectors determined by the candidate symbols, which are the closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space in the signal space received by the current channel space, the reserved signal vector of the layer can be determined, , only need to judge The candidate symbols determined by the decision symbol are filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
  • an embodiment of the present invention provides a signal detection method, including:
  • the receiving end determines an equivalent receiving vector according to a signal sequence received by the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
  • the receiving end determines, in the symbol corresponding to the channel space of the Nth layer, the element corresponding to the corresponding layer in the equivalent receiving vector, according to the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition.
  • the symbol obtained by the effect of the channel gain is the closest to the symbol of the set number, and each of the determined symbols is used as a signal vector;
  • the receiving end determines the equivalent receiving vector for each of the most recently determined signal vectors and the upper triangular equivalent channel gain matrix.
  • the decision symbol corresponding to the element of the layer is removed from the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and each decision symbol is determined and set in the symbol corresponding to the channel space of the layer.
  • the number of the candidate symbols closest to the number, and according to all the candidate symbols, determining the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, determining the corresponding Nth layer to the current layer in the equivalent receiving vector The signal vector composed of elements removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
  • the receiving end determines each symbol vector received in the channel space of the layer to remove the signal vector.
  • the decision symbol after the influence of the interference and the equivalent channel gain of the channel space of the layer, and the candidate symbol close to the decision symbol determine the signal vector of the current layer, which reduces the complexity of signal detection.
  • the channel matrix is QR decomposed and decomposed into a unitary matrix and an upper triangular equivalent channel gain.
  • a matrix R where N is the number of layers in the channel space and the received signal
  • the number of signal vectors determined by each layer of the channel space may be set to be the same.
  • those skilled in the art may set other feasible methods according to actual conditions.
  • the number of signal vectors determined by the channel space of each layer is the same as an example.
  • the degree of similarity between the two signals can be determined by the square of the Euclidean distance between the two signals, The smaller the square of the Euclidean distance between the signals, the greater the degree of similarity between the two signals. Therefore, the effect of the equivalent received vector in S102 on the equivalent channel gain of the layer's channel space is removed in S102.
  • the symbols with the closest number of symbols obtained can be:
  • each of the decision symbols is determined in the symbol corresponding to the channel space of the layer, and the set number of the candidate symbols closest to the same is determined, which may be:
  • the signal vector in S103 determines a signal with the closest set of signal vectors obtained by removing the influence of the equivalent channel gain of the corresponding channel space by the signal vector composed of the symbols of the Nth layer to the current layer of the equivalent received vector.
  • Vector can be:
  • the obtained signal vector and the equivalent Euclidean distance squared of the signal vector composed of the elements corresponding to the Nth layer to the current layer in the equivalent receiving vector are the smallest, and the cumulative Euclidean distance square is specifically between each corresponding symbol of the two signal vectors. The sum of the squared Euclidean distances.
  • the elements of the Nth row and the Nth column of the upper triangular equivalent channel gain matrix obtained by QR decomposition are not zero.
  • the other elements in the Nth row are all zero, and the signals transmitted in the N-1th to the 1st channel are subject to the interference of the signals transmitted by other signals, and the corresponding N-1th layer in the upper triangular equivalent channel gain matrix.
  • the number of elements that are not zero in each row of the layer 1 channel space is greater than 1. Therefore, the method for detecting the symbols of the channel space of the Nth layer and the method for detecting the symbols of other channel spaces in the embodiment of the present invention Different, and need to start detection from the Nth layer channel space.
  • the square of the Euclidean distance obtained is d.
  • Lq ⁇ y NN x q ⁇
  • is the Nth row element in the equivalent received vector
  • r w ⁇ is the element of the Nth row and the Nth column in the upper triangular equivalent channel gain matrix
  • X is the symbol, specifically, As shown in FIG.
  • the receiving end is in the symbol corresponding to the Nth channel space, and the upper triangular equivalent channel gain matrix obtained by channel matrix decomposition is used to determine the element removal of the corresponding layer in the equivalent vector of the signal vector.
  • the symbols of the most similarly set symbols obtained after the influence of the equivalent channel gain of the layer channel space specifically include:
  • the receiving end determines, according to each symbol in the symbol corresponding to the layer channel space, the Euclidean symbol obtained by the symbol and the equivalent receiving vector after the symbol of the layer removes the equivalent channel gain of the layer channel space. Distance square
  • the signal corresponding to the signal received by the receiving end is determined according to the signal received by the receiving end and the equivalent channel gain, and is determined from the signal that may be sent by the transmitting end.
  • the number of signal vectors r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, and X m is the mth
  • the symbol of the jth row in the channel sequence is the element of the i-th row in the signal vector equivalent reception vector.
  • the interference caused by the transmission of the layer signal according to the element corresponding to the layer in the equivalent reception vector and the most recently determined signal vector, and the equivalent channel of the current layer can be obtained.
  • Gain to determine the decision symbol, specifically, the decision symbol is ⁇ -
  • a predetermined number of candidate symbols are determined for each decision symbol. Since the Euclidean distance of the candidate symbol and the decision symbol is small, the degree of similarity is high, and the signal sent by the transmitting end is also close to each other. Therefore, the signal vector of the current layer can be determined according to the candidate symbol and the most recently determined signal vector, and the complexity of signal detection is reduced.
  • An embodiment of the present invention provides a method for determining a candidate symbol, which specifically includes:
  • mapping the region to a symbol corresponding to the channel space of the layer For each decision symbol, determining a region to which the decision symbol belongs on the constellation diagram, and mapping the region to a symbol corresponding to the channel space of the layer, and determining that the symbol corresponding to the region is a candidate symbol, the region and the layer
  • the mapping relationship of the symbols corresponding to the channel space is specifically: determining a constellation point of the symbol corresponding to the channel space of the layer, and determining a corresponding area of the constellation point for the set number of constellation points whose plane distance is closest to each group And determining a mapping relationship between a symbol corresponding to each set of constellation points and a corresponding region of the set of constellation points, where a sum of plane distances of any constellation points in the corresponding region and the set of constellation points is smaller than that of other group constellation points The sum of the plane distances.
  • the detection in the 16QAM modulation mode is taken as an example, as shown in FIG. 4, the plane distance between each group is two.
  • the nearest four constellation points determine the corresponding regions of the set of constellation points, and the mapping relationship between the corresponding symbols of each set of constellation points and the corresponding regions of the set of constellation points is as shown in Table 1.
  • Stored in Table 1 is the number of the constellation points in Figure 4.
  • the candidate symbol When the candidate symbol is determined, if the decision symbol is located in area 1, the candidate symbols are 13, 14, 15, and 16. If the decision symbol is located in area 3, the candidate symbols are 9, 10, 11, and 12. The complexity of the detection.
  • the signal to be selected and the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined to determine the signal vector to be reserved in the channel space of the layer.
  • the cumulative Euclidean distance square of the signal vector is added to obtain the cumulative Euclidean distance square of the candidate signal vector. The smaller the cumulative Euclidean distance square is, the corresponding Nth layer to the current layer in the candidate signal vector and the equivalent receiving vector.
  • all the candidate symbols are selected in S103, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined, and the corresponding Nth layer to the current layer in the equivalent receiving vector is determined.
  • the signal vector composed of the elements removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector has the closest set number of signal vectors, including:
  • S501 Determine, for each candidate symbol, a candidate signal vector that is formed by the candidate symbol and a signal vector that determines the candidate symbol.
  • S502 Determine a symbol of a signal that should be selected in the signal vector after the candidate signal vector passes through the Nth channel space to the current channel space.
  • the i-th channel space is the current channel space
  • ⁇ , ⁇ , and M is the channel space of the previous layer.
  • the number of signal vectors, ae ⁇ 1, ⁇ , ⁇ , A is the number of candidate symbols determined according to each decision symbol set by the current layer channel space
  • X m To determine the signal vector of the candidate symbol, which is the element of the ith row in the equivalent received vector, r is the element of the i-th row and the j-th column in the equivalent channel matrix, which is the i-th in the upper triangular equivalent channel gain matrix.
  • BM(( - ⁇ )xA + a) bm(m) + d im _ 1)xa+a , where bm( ) is at the i+
  • BM(( -l)x + is the cumulative (-l)x + "accumulated channel vector of the i-th channel space" Square of distance;
  • the receiving end converts the set number of signal vectors determined by the first layer of channel space into bit outputs, that is, the detection result.
  • step S104 can be implemented by soft bit value calculation.
  • those skilled in the art can use other feasible methods to set the detection result, which is not described here.
  • the signal detection method provided by the embodiment of the present invention can be implemented in the form of a tree search.
  • the square of the Euclidean distance determined when detecting the Nth layer is the branch metric value in the tree search.
  • the cumulative Euclidean distance square determined by the N-1th to the first layer is the cumulative branch metric, and the Euclidean distance squared increment is the cumulative branch metric increment.
  • the embodiment of the invention provides a specific method for signal detection, including:
  • the mapping relationship between the area and the symbol determines the A symbols in the set that are the smallest squared with the Euclidean distance of the decision, and are the A candidate symbols of the symbols sent by the transmitting end at the layer;
  • the element of the i-th row in the quantity, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and riJ is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, which is in the output matrix
  • the element of the mth column of the i-th row, me ⁇ l,---, ⁇ , m The a-th candidate to be selected according to the mth decision amount in the i-th channel, ae ⁇ 1, ⁇ , ⁇ ;
  • M*A cumulative branch metrics BM((m - ⁇ ) ⁇ + ⁇ ) bm(m) + d m _ l)xA+a , where, bm ( ) is the cumulative branch metric of the mth branch determined on the i+1th channel, BM((m - 1) ⁇ + ⁇ ) is the (-1)X + in the i-th channel space The cumulative Euclidean distance squared of the candidate channel vectors;
  • S610 Determine M minimum cumulative branch metric values, and determine corresponding branches, and use the corresponding branch as a reserved branch to be stored in the output matrix, and store the cumulative branch metric corresponding to the reserved branch into bm;
  • an embodiment of the present invention provides a signal detecting apparatus, including:
  • a first determining unit 701 configured to determine an equivalent receiving vector according to a signal sequence received by the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
  • the second determining unit 702 is configured to: in the symbol corresponding to the Nth channel space, the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition, and determine the element corresponding to the corresponding layer in the equivalent receiving vector to remove the layer
  • the symbol obtained by the equivalent channel gain of the channel space is the closest to the symbol, and the determined symbol is used as a signal vector;
  • the third determining unit 703 is configured to determine, for each of the most recently determined signal vectors, the upper triangular equivalent channel gain matrix, etc., for each of the Nth layer channel space to the layer 1 channel space.
  • the element corresponding to the layer removes the influence symbol of the signal vector and the equivalent channel gain of the channel space of the layer, and each decision symbol is in the symbol corresponding to the channel space of the layer.
  • the signal vector composed of the elements of the current layer removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
  • the fourth determining unit 704 is configured to determine a signal detection result according to the signal vector determined in the layer 1 channel space.
  • the receiving end determines the symbol received by the layer channel space for each signal vector that is determined last time, and removes the interference of the signal vector.
  • the decision symbol after the influence of the equivalent channel gain of the layer channel space, and the candidate symbol close to the decision symbol determines the signal vector of the current layer, which reduces the complexity of signal detection.
  • the first determining unit 701 After receiving the signal sequence on the receiving end, the signal sequence needs to be processed to implement the layered detection in the embodiment of the present invention. Therefore, the first determining unit 701 first needs to perform QR decomposition on the channel matrix, and decompose it into a matrix and on the matrix. Triangular equivalent channel gain matrix R: where N is the number of layers in the channel space and will be received
  • the number of signal vectors determined by each layer of the channel space may be set to be the same.
  • those skilled in the art may set other feasible methods according to actual conditions.
  • the number of signal vectors determined by the channel space of each layer is the same as an example.
  • the degree of closeness between the two signals can be determined by the square of the Euclidean distance between the two signals.
  • the smaller the square of the Euclidean distance between the two signals, the greater the degree of similarity between the two signals. Therefore, the symbol of the set number that is closest to the symbol obtained by the equivalent received vector after the symbol of the layer is removed from the equivalent channel gain of the layer channel space may be:
  • the set number of the candidate symbol closest to the set is determined in the symbol corresponding to the channel space of the layer, which may be:
  • the obtained signal vector and the equivalent Euclidean distance squared of the signal vector composed of the elements corresponding to the Nth layer to the current layer in the equivalent receiving vector are the smallest, and the cumulative Euclidean distance square is specifically between each corresponding symbol of the two signal vectors. The sum of the squared Euclidean distances.
  • the elements of the Nth row and the Nth column of the upper triangular equivalent channel gain matrix obtained by QR decomposition are not zero. , No. N
  • the other elements of the row are all zero, and the signals transmitted by the N-th layer to the layer 1 channel space are interfered by the signals transmitted by other signals, and the corresponding N-th layer to the first in the upper triangular equivalent channel gain matrix
  • the square of the Euclidean distance obtained is d.
  • the signal corresponding to the signal received by the receiving end is determined according to the signal received by the receiving end and the equivalent channel gain, and is determined from the signal that may be sent by the transmitting end.
  • the number of signal vectors is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, which is the m-th channel sequence.
  • the symbol of the jth line is the element of the i-th row in the signal vector equivalent reception vector.
  • the interference caused by the transmission of the layer signal according to the element corresponding to the layer in the equivalent reception vector and the most recently determined signal vector, and the equivalent channel of the current layer can be obtained.
  • Gain to be true Determine the decision symbol, specifically, determine the decision symbol as ⁇ , after determining the decision symbol, for each
  • the decision symbol determines the set number of candidate symbols, because the Euclidean distance of the candidate symbol and the decision symbol is small, the degree of similarity is high, and the signal sent by the transmitting end is also close, so that the candidate symbol can be selected.
  • the signal vector of the current layer is determined with the last determined signal vector to reduce the complexity of signal detection.
  • An embodiment of the present invention provides a method for determining a candidate symbol, which specifically includes:
  • mapping the region corresponding to the symbol corresponding to the channel space of the layer determines that the symbol corresponding to the region is a candidate symbol, the region and the channel of the layer
  • the mapping relationship between the symbols corresponding to the space is specifically: determining a constellation point of the symbol corresponding to the channel space of the layer, and determining a corresponding region of the constellation point for the constellation point of the set number of the closest distance between the two groups And determining a mapping relationship between a symbol corresponding to each group of constellation points and a corresponding region of the group of constellation points, where a sum of plane distances of any constellation points in the corresponding region and the group of constellation points is smaller than a plane of the other group of constellation points The sum of the distance.
  • the detection in the 16QAM modulation mode is taken as an example, as shown in FIG. 4, the plane distance between each group is two.
  • the nearest four constellation points determine the corresponding regions of the set of constellation points, and the mapping relationship between the corresponding symbols of each set of constellation points and the corresponding regions of the set of constellation points is as shown in Table 2.
  • Stored in Table 2 is the number of the constellation points in Figure 4.
  • the candidate symbol is 13 14 15 16, and if the decision symbol is located in the area 3, the candidate symbol is the complexity of the detection of 9 10 11 12 .
  • the signal to be selected and the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined to determine the signal vector to be reserved in the channel space of the layer.
  • each candidate is selected.
  • a sign of the Euclidean distance squared increment of the candidate signal vector formed by the signal vector of the candidate symbol, and adding the squared increment of the Euclidean distance to the square of the cumulative Euclidean distance of the signal vector determining the candidate symbol the cumulative Euclidean distance squared of the candidate signal vector is obtained, and the smaller the cumulative Euclidean distance square is, the closer the candidate signal vector is to the signal vector corresponding to the element corresponding to the Nth layer to the current layer in the equivalent receiving vector.
  • the third determining unit 703 is configured to occupy all the candidate symbols, determine the signal vector of the candidate symbol, and the upper triangular equivalent channel gain matrix, and determine the elements corresponding to the corresponding Nth layer to the current layer in the equivalent receiving vector.
  • the signal vector of the composition removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors, which is specifically used for:
  • the number of the channel space for this layer, m The number of the channel space for this layer, m , .
  • ⁇ l,., M ⁇ M is the number of signal vectors determined by the previous layer of channel space
  • A is the number of candidate symbols determined according to each decision symbol set by the current layer channel space, and is a signal vector for determining the candidate symbol, which is an element of the i-th row in the equivalent receiving vector
  • r is an element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is an element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix;
  • BM (( - l) , where bm( ) is the cumulative Euclidean distance squared of the mth signal vector determined in the i+1th channel space, and BM((m - 1) ⁇ + «) is the first in the layer 1 channel space ( - 1) X + "the cumulative Euclidean distance squared of the candidate channel vectors;
  • the signal vector with the smallest cumulative Euclidean distance square of the set number is determined from the candidate signal vector, and the cumulative Euclidean distance square corresponding to the vector is stored in bm.
  • the receiving end converts the set number of signal vectors determined by the first layer of channel space into bit outputs, that is, the detection result.
  • the fourth determining unit 704 is configured to calculate a set number of signal vectors determined by the first layer channel space and convert the bits into soft bit values of the bits, and determine the detection result according to the soft bit values. The technicians in the field can use other feasible methods to set the test results, which are no longer described here.
  • the signal detection method provided by the embodiment of the present invention can be implemented in the form of a tree search.
  • the square of the Euclidean distance determined when detecting the Nth layer is the branch metric value in the tree search.
  • the cumulative Euclidean distance square determined by the N-1th to the first layer is the cumulative branch metric, and the Euclidean distance squared increment is the cumulative branch metric increment.
  • Embodiments of the present invention provide a specific method for signal detection, including Includes:
  • Matrix R ? " 2 ; 2 , where N is the number of layers of channel space;
  • the mapping relationship between the area and the symbol determines the A symbols in the set that are the smallest squared with the Euclidean distance of the decision, and are the A candidate symbols of the symbols sent by the transmitting end at the layer;
  • the selected symbol and the reserved branch corresponding to each candidate symbol determine M* A branch metric increments ⁇ 3 ⁇ 4-., ⁇ 2 , where, the number of layers of the layer channel space, etc.
  • r is the element of the i-th row and the j-th column of the upper triangular equivalent channel gain matrix
  • riJ is the element of the i-th row and the i-th column of the upper triangular equivalent channel gain matrix, which is an output
  • M*A cumulative branch metrics BM((m - ⁇ ) ⁇ + ⁇ ) bm(m) + d m _ l)xA+a , where bm ( ) is the cumulative branch metric of the mth branch determined on the i+1th channel, BM(( + «) is the ( - 1) X + "selected channel vector in the layer 1 channel space Cumulative Euclidean distance squared;
  • Embodiments of the present invention provide a signal detecting method and apparatus.
  • the layer is first determined.
  • the symbol received by the channel space removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the channel space of the layer, and further determines the candidate symbol closest to the decision symbols, and then determines the basis Which of the signal vectors determined by the candidate symbols are closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space from the signal vector received by the current channel space, and the reserved signal vector of the layer can be determined. Therefore, only the candidate symbols determined according to the decision symbols need to be filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
  • embodiments of the present invention can be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or a combination of software and hardware. Moreover, the present invention can be embodied in the form of a computer program product embodied on one or more computer-usable storage interfaces (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer usable program code.
  • computer-usable storage interfaces including but not limited to disk storage, CD-ROM, optical storage, etc.
  • the computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing device to operate in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture comprising the instruction device.
  • the apparatus implements the functions specified in one or more blocks of a flow or a flow and/or block diagram of the flowchart.
  • These computer program instructions can also be loaded onto a computer or other programmable data processing device such that a series of operational steps are performed on a computer or other programmable device to produce computer-implemented processing for execution on a computer or other programmable device.
  • the instructions provide steps for implementing the functions specified in one or more of the flow or in a block or blocks of a flow diagram.

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Abstract

Embodiments of the present application provide a method and an apparatus for detecting a signal, and relate to wireless communications technologies. In a process of detecting a signal received by an N-layer space multiplexing transmission system, when a (N-1)th layer to a first layer is detected, judgment signals are first determined after removing interference of last determined signal vectors from symbols received by the channel space and removing effects of equivalent channel gain of the channel space, and then to-be selected symbols most similar to the judgment symbols are determined. Then, signal vectors most similar to signal vectors obtained by removing effects of equivalent channel gain of the corresponding channel space from signal vectors received by a current channel space are determined from the signal vectors determined according to the to-be-selected symbols, and reserved signal vectors on the layer are determined. Therefore, it is only necessary to filter the to-be-selected symbols determined according to the judgment symbols, and it is unnecessary to filter all symbols on the layer, there reducing the complexity of signal detection.

Description

一种信号检测的方法及装置 本申请要求在 2012年 12月 10 日提交中国专利局、 申请号为 201210529634.7、 发明 名称为"一种信号检测的方法及装置 "的中国专利申请的优先权, 其全部内容通过引用结合 在本申请中。  The present invention claims the priority of the Chinese patent application filed on Dec. 10, 2012, the Chinese Patent Application No. 201210529634.7, entitled "A Method and Apparatus for Signal Detection", The entire contents are incorporated herein by reference.
技术领域 Technical field
本发明涉及无线通信技术, 尤其涉及一种信号检测的方法及装置。  The present invention relates to wireless communication technologies, and in particular, to a signal detection method and apparatus.
背景技术 Background technique
在空间复用传输的多天线系统中,一种信号检测的方法为基于 QR分解的保留 M个分 支的筒化最大似然 (筒称 QRD-M )检测算法, 该检测算法是一种筒化的最大似然检测算 法, 该算法釆用树形搜索的方法, 在树形搜索过程中, 对每一层信道空间选取最有可能为 该层发送端发送信号的多个的星座符号保留, 并选取最有可能为发送端发送的信号向量的 星座符号的组合, 该星座符号的组合是一个矢量, 在本检测算法中称为分支, 将该星座符 号的组合作为输出的检测结果。  In the multi-antenna system of spatial multiplexing transmission, a signal detection method is a QR maximum-like (QRD-M) detection algorithm that retains M branches based on QR decomposition, and the detection algorithm is a kind of processing. Maximum likelihood detection algorithm, which uses a tree search method to select, for each layer of channel space, a plurality of constellation symbols that are most likely to transmit signals to the transmitting end of the layer in the tree search process, and The combination of the constellation symbols most likely to be the signal vector transmitted by the transmitting end is selected. The combination of the constellation symbols is a vector, which is called a branch in the detection algorithm, and the combination of the constellation symbols is used as the detection result of the output.
具体的, 假设空间复用传输的多输入多输出 (Multiple Input Multiple Output, MIMO ) 系统的传输模型如下:  Specifically, it is assumed that the transmission model of the Multiple Input Multiple Output (MIMO) system for spatial multiplexing transmission is as follows:
r = Hx + n  r = Hx + n
其中, r为 WR xl的接收信号向量, H为NR xN 的信道矩阵, X表示^ xl的发送信 号向量, n表示 WR xl的噪声向量。 Where r is the received signal vector of W R xl, H is the channel matrix of N R xN, X represents the transmitted signal vector of ^ xl, and n represents the noise vector of W R xl.
QRD-M算法通常通过树形搜索实现, 树形搜索可以概括如下: 由于第 ^层信道空间 传输的信号的搜索不会受到其他信道空间的影响, 首先从第^层进行搜索, 对第 ^层, 计算树形结构第 ^层中所有星座点的分支度量值,分支度量值具体为计算每个星座点与该 层信道空间接收的符号去除该层信道空间的等效信道增益的影响后的符号的欧氏距离平 方, 其他层的搜索是在之前已搜索符号的保留分支的情况下, 遍历所有星座点计算累积分 支度量值,在所有星座点中保留 M个累积分值度量值最小的分支作为下一层搜索的保留分 支。  The QRD-M algorithm is usually implemented by tree search. The tree search can be summarized as follows: Since the search of the signal transmitted by the channel space is not affected by other channel space, the search is performed from the layer, and the layer is searched. Calculating branch metrics of all constellation points in the layer of the tree structure, and the branch metric is specifically a symbol for calculating the influence of each constellation point and the symbol received by the channel space of the layer to remove the equivalent channel gain of the channel space of the layer The Euclidean distance is squared. The search for other layers is based on the reserved branch of the previously searched symbol. The traversal of all constellation points is used to calculate the cumulative branch metric, and the M branches with the smallest cumulative score metric are retained in all constellation points. The reserved branch of the next layer of search.
算法执行步骤如下:  The algorithm execution steps are as follows:
第一步: 首先需要对信道矩阵进行分层, 对信道矩阵 H进行 QR分解, QR分解即酉 矩阵上三角矩阵分解,它是将矩阵分解成一个归一化正交矩阵即酉矩阵 Q与上三角形矩阵 R, 所以称为 QR分解法。 对信道矩阵 H进行 QR分解输出 Q矩阵和 R矩阵。 其中 Q矩阵 是酉矩阵, R矩阵是上三角等效信道增益矩阵, 如下式所示
Figure imgf000003_0001
The first step: First, the channel matrix needs to be layered, QR decomposition of the channel matrix H, QR decomposition is the triangular matrix decomposition on the unitary matrix, which is to decompose the matrix into a normalized orthogonal matrix, ie, the matrix Q and The triangle matrix R, so called the QR decomposition method. A QR decomposition output Q matrix and an R matrix are performed on the channel matrix H. The Q matrix is a unitary matrix, and the R matrix is an upper triangular equivalent channel gain matrix, as shown in the following equation.
Figure imgf000003_0001
初始化 Χ'^为 NL xM的全零矩阵, bm为 1 xM的向量。 The initialization Χ '^ is an all-zero matrix of N L xM, and bm is a vector of 1 xM.
对接收向量进行分层,对接收信号向量 r左乘 Qff ,得到等效接收向量 y = [; " vzf 。 第二步: 如图 1所示, 从第^层到第 1层进行逐层搜索, 以检测发送端发送的信号向 量。 Layer the received vector and multiply the received signal vector r by Q ff to obtain the equivalent received vector y = [; " v z f . Step 2: As shown in Figure 1, proceed from layer 2 to layer 1. Search layer by layer to detect the signal vector sent by the sender.
假设被搜索层使用的调制方式对应的星座点个数为 Q,将所有的 Q个星座点分别带入 d =\yN[ -rN[tN[xq I2计算分支度量值, 其中 yNi为等效接收向量中第 N行元素, , 为上 三角等效信道增益矩阵中第 N行第 N列的元素, 为该星座点, 在 Q个分支度量值中保 留 M个度量值最小的存入 bm , 并将对应的星座点存入 Χ'^的第 行。 Suppose that the number of constellation points corresponding to the modulation method used by the search layer is Q, and all Q constellation points are respectively brought into d =\y N[ -r N[tN[ x q I 2 calculates the branch metric, where y Ni is the Nth row element in the equivalent receiving vector, and is the element of the Nth row and the Nth column in the upper triangular equivalent channel gain matrix. For the constellation point, the M metrics are the smallest among the Q branch metrics. Save bm and store the corresponding constellation point in the first line of Χ'^.
对于第 Λ^- + 1层的符号进行搜索时, 需要先计算各保留分支下所有星座点遍历计算 累积
Figure imgf000003_0002
For the search of the symbols of the Λ^- + 1 layer, it is necessary to calculate the cumulative calculation of all the constellation points under each reserved branch.
Figure imgf000003_0002
其中, 为该层信道空间的层数, .为等效接收向量中第 i行的元素, r 为上三角等 效信道增益矩阵中第 i行第 j列的元素, riJ为上三角等效信道增益矩阵中第 i行第 i列的元 素, 表示 Xfei的第 行, 第 列元素。 表示当前层的星座点, 来自星座集合。 累积 分支度量值釆用分支度量值的增量和保存的累积分支度量值 bm中对应的元素进行相加, BM ((m-\)xQ + q) = bm(m) + di ml>Q+q ,其中, q的取值在 1到 Q之间,则共需要进行 QxM 个分支度量值的计算。 Where is the number of layers in the channel space of the layer, where is the element of the i-th row in the equivalent received vector, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and riJ is the upper triangular equivalent channel The element of the i-th row and the i-th column of the gain matrix, representing the first row and the first column element of X fei . Indicates the constellation point of the current layer, from the constellation set. The cumulative branch metric is added by the increment of the branch metric and the corresponding element of the saved cumulative branch metric bm, BM (( m -\)xQ + q ) = bm(m) + d iml> Q+q , where q is between 1 and Q, then a total of QxM branch metrics need to be calculated.
每一层在 M乂 Q个分支中保留最小的 M个 BM 对应的分支, 将对应的累积分支度量 值存入 bm, 将对应的已搜索层保留分支和当前层保留的星座点写入 X'^。  Each layer keeps the smallest M BM corresponding branches in M乂Q branches, stores the corresponding accumulated branch metrics into bm, and writes the corresponding searched layer reserved branches and constellation points reserved by the current layer to X' ^.
最后, 所有符号搜索完成之后输出的 bm为保留的 M个最小的分支对应的分支度量 值, 保留分支 Χ包含 bm对应的 M个分支。 Finally, the bm output after all symbol searches are completed is the branch metric corresponding to the remaining M smallest branches, and the reserved branch Χ contains the M branches corresponding to bm.
第三步: 在未编码系统中, 接收端将 中 BM最小值对应的矢量转化为比特输出即 为检测结果。 然而在编码的系统中, 需要生成每个比特的对数似然比 (也称软比特)输入 到译码器。 生成对数似然比的过程为, 釆用保留分支中该比特为 0的最小累积分支度量值 和保留分支中该比特为 1的最小累积分支度量值的差值, 作为该软比特的输出。 如下式所 示:  Step 3: In the uncoded system, the receiver converts the vector corresponding to the BM minimum to the bit output as the detection result. However, in a coded system, it is necessary to generate a log likelihood ratio (also called soft bit) of each bit input to the decoder. The process of generating a log-likelihood ratio is to use the difference between the minimum cumulative branch metric of the bit in the reserved branch and the minimum cumulative branch metric of the bit in the reserved branch as the output of the soft bit. As shown in the following formula:
b{n,)(nh)^ min (BM) - min (BM) 上式中, ^τ。表示保留分支中第 层第《¾比特为 ο的分支集合, x ""表示保留分支 中第 层第《¾比特为 1的分支集合, 《,ε{1,···,Λ^} , ¾e{l,---,log2 o 表示传输的层 数, 10§20表示调制阶数。 b {n,) (n h )^ min (BM) - min (BM) In the above formula, ^τ. The first layer represents a branch reserved "branch of the collection ¾ bits ο, x""indicates the first branch retention layer" ¾ bits set to 1 of the branch, ", ε {1, ··· , Λ ^}, ¾e {l,---,log 2 o indicates the layer of transmission The number, 1 0 § 2 0 represents the modulation order.
QRD-M检测算法存在两方面的缺点: 第一, 为了保证检测算法的性能, 预设的 M要 比较大, 并且在每一个保留分支下需要计算所有星座点假设下的分支度量值, 这样会导致 在树形搜索中进行大量的分支度量值的运算; 第二, 为了选取最小的 M个分支度量值和对 应的分支保留, 在每一层完成分值度量值的计算后, 需要对多个分支度量值进行排序, 若 调制阶数较高, M较大, 则分支度量值数目较多, 这样排序的时延则比较大。  The QRD-M detection algorithm has two shortcomings: First, in order to ensure the performance of the detection algorithm, the preset M is relatively large, and under each reserved branch, the branch metric under all constellation point hypotheses needs to be calculated. Resulting in a large number of branch metrics in the tree search; Second, in order to select the smallest M branch metrics and corresponding branch reservations, after each layer completes the calculation of the score metrics, it needs to be multiple The branch metrics are sorted. If the modulation order is high and M is large, the number of branch metrics is large, so the delay of sorting is relatively large.
以 64QAM调制方式, M = 16为例。 对于第一层的搜索, QRD-M算法需要进行 64个 分支度量值的计算, 需要进行 64选 16的排序; 对于非第一层的搜索, QRD-M算法需要 进行 64x16个分支度量值的计算, QRD-M算法需要进行 64x16选 16的排序。 这些分支度 量值的计算和排序需要占用很多的运算资源, 并带来较大的处理时延。  In the 64QAM modulation mode, M = 16 is taken as an example. For the first layer search, the QRD-M algorithm needs to calculate 64 branch metrics, and needs 64 sorts and 16 sorts. For non-first layer search, the QRD-M algorithm needs to calculate 64x16 branch metrics. The QRD-M algorithm requires a 64x16-select 16 sort. The calculation and sorting of these branch metrics requires a lot of computing resources and brings a large processing delay.
综上, 现有的最大似然检测算法有较高的复杂度, 占用了较多的资源。  In summary, the existing maximum likelihood detection algorithm has higher complexity and occupies more resources.
发明内容 Summary of the invention
本发明实施例提供了一种信号检测方法及装置, 以降低信号检测的复杂度。  Embodiments of the present invention provide a signal detection method and apparatus to reduce the complexity of signal detection.
一种信号检测方法, 包括:  A signal detection method includes:
接收端根据通过 N层空间复用传输系统接收的信号序列以及通过信道矩阵 QR分解得 到的酉矩阵, 确定等效接收向量;  The receiving end determines an equivalent receiving vector according to a signal sequence received through the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
接收端在第 N层信道空间对应的符号中, 根据通过信道矩阵 QR分解得到的上三角等 效信道增益矩阵, 确定与等效接收向量中对应该层的元素去除该层信道空间的等效信道增 益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号作为一个信号向 量;  The receiving end determines, in the symbol corresponding to the channel space of the Nth layer, the equivalent channel of the corresponding layer in the equivalent receiving vector to remove the channel space of the layer according to the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition. The symbol obtained after the influence of the gain is the closest to the set number of symbols, and each symbol determined is taken as a signal vector;
对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接收端对最近一次确定 的每个信号向量, 居上三角等效信道增益矩阵确定等效接收向量中对应该层的元素去除 该信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决符号, 对每个判决 符号均在该层信道空间对应的符号中确定设定个数的与其最相近的待选符号, 并根据所有 待选符号、 确定待选符号的信号向量及上三角等效信道增益矩阵, 确定出与由等效接收向 量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等效信道增益的影响 后得到的信号向量最相近的设定个数的信号向量;  For each layer of channel space in the N-1th channel space to the layer 1 channel space, the receiving end determines the equivalent receiving vector for each of the most recently determined signal vectors, the upper triangular equivalent channel gain matrix The element of the layer removes the decision symbol of the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and determines the set number of each decision symbol in the symbol corresponding to the channel space of the layer. The closest candidate symbol, and based on all the candidate symbols, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, are determined to be composed of elements corresponding to the Nth layer to the current layer in the equivalent receiving vector. The signal vector removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
根据在第 1层信道空间确定的信号向量, 确定信号检测结果。  The signal detection result is determined based on the signal vector determined in the layer 1 channel space.
一种信号检测装置, 包括:  A signal detecting device includes:
第一确定单元,用于根据通过 N层空间复用传输系统接收的信号序列以及通过信道矩 阵 QR分解得到的酉矩阵, 确定等效接收向量;  a first determining unit, configured to determine an equivalent receiving vector according to a signal sequence received through the N-layer spatial multiplexing transmission system and a unitary matrix obtained by QR matrix QR decomposition;
第二确定单元, 用于在第 N层信道空间对应的符号中, 居通过信道矩阵 QR分解得 到的上三角等效信道增益矩阵, 确定与等效接收向量中对应该层的元素去除该层信道空间 的等效信道增益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号作为 一个信号向量; a second determining unit, configured to: in a symbol corresponding to the channel space of the Nth layer, an upper triangular equivalent channel gain matrix obtained by channel matrix QR decomposition, determining to remove the layer channel from an element corresponding to the corresponding receiving vector Space After the influence of the equivalent channel gain, the symbols obtained are the closest to the set number of symbols, and each symbol determined is taken as a signal vector;
第三确定单元, 用于对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接 收端对最近一次确定的每个信号向量, 居信号向量上三角等效信道增益矩阵确定等效接 收向量中对应该层的元素去除该信号向量对其的千扰及该层信道空间的等效信道增益的 影响后的判决符号, 对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其 最相近的待选符号, 并才 居所有待选符号、 确定待选符号的信号向量及上三角等效信道增 益矩阵,确定出与由等效接收向量对应的第 N层至当前层的符号组成的信号向量去除相应 信道空间的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向量;  a third determining unit, configured to: for each channel space in the Nth layer channel space to the layer 1 channel space, the receiving end pairs the last determined each signal vector, and the triangular equivalent channel gain on the signal vector The matrix determines a decision symbol in the equivalent receiving vector that removes the influence of the signal vector on the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and corresponds to each decision symbol in the channel space of the layer. The symbol is determined to be the closest candidate symbol to be selected, and all the candidate symbols are selected, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined, and the corresponding correspondence vector is determined. The signal vector composed of the symbols of the Nth layer to the current layer removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
第四确定单元, 用于根据在第 1层信道空间确定的信号向量, 确定信号检测结果。 本发明实施例提供了一种信号检测方法及装置,在对通过 N层空间复用传输系统接收 的信号进行检测的过程中, 对 N-1层至 1层进行检测时, 首先确定该层信道空间接收的符 号去除最近一次确定的信号向量对其的千扰及该层信道空间的等效信道增益的影响后的 判决符号, 进而确定与这些判决符号最相近的待选符号, 再确定根据这些待选符号确定的 信号向量中, 哪些与当前信道空间接收到的信号向量去除相应信道空间的等效信道增益的 影响后得到的信号向量最相近, 即可确定出该层的保留信号向量, 因此, 仅需要对根据判 决符号确定的待选符号进行筛选, 不需要对该层的所有可能符号进行筛选, 降低了信号检 测的复杂度。  And a fourth determining unit, configured to determine a signal detection result according to the signal vector determined in the layer 1 channel space. The embodiment of the invention provides a signal detection method and device. When detecting a signal received by an N-layer spatial multiplexing transmission system, when detecting the N-1 layer to the first layer, the channel is first determined. The spatially received symbol removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the layer channel space, and further determines the candidate symbols closest to the decision symbols, and then determines according to these Among the signal vectors determined by the candidate symbols, which are the closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space in the signal space received by the current channel space, the reserved signal vector of the layer can be determined, Only the candidate symbols determined according to the decision symbols need to be filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
附图说明 DRAWINGS
图 1为现有技术提供的一种 QRD-M算法树形搜索示意图;  1 is a schematic diagram of a QRD-M algorithm tree search provided by the prior art;
图 2为本发明实施例提供的信号检测方法流程图之一;  2 is a flowchart of a signal detection method according to an embodiment of the present invention;
图 3为本发明实施例提供的一种对第 N层信号进行检测的方法流程图;  3 is a flowchart of a method for detecting an Nth layer signal according to an embodiment of the present invention;
图 4为本发明实施例提供的一种星座区域划分示意图;  FIG. 4 is a schematic diagram of a constellation area division according to an embodiment of the present invention;
图 5为本发明实施例提供的一种确定保留信号向量的方法流程图;  FIG. 5 is a flowchart of a method for determining a reserved signal vector according to an embodiment of the present invention;
图 6为本发明实施例提供的信号检测方法流程图之二;  6 is a second flowchart of a signal detection method according to an embodiment of the present invention;
图 7为本发明实施例提供的一种信号检测装置示意图。  FIG. 7 is a schematic diagram of a signal detecting apparatus according to an embodiment of the present invention.
具体实施方式 Detailed ways
本发明实施例提供了一种信号检测方法及装置,在对通过 N层空间复用传输系统接收 的信号进行检测的过程中, 对 N-1层至 1层进行检测时, 首先确定该层信道空间接收的符 号去除最近一次确定的信号向量对其的千扰及该层信道空间的等效信道增益的影响后的 判决符号, 进而确定与这些判决符号最相近的待选符号, 再确定根据这些待选符号确定的 信号向量中, 哪些与当前信道空间接收到的信号向量去除相应信道空间的等效信道增益的 影响后得到的信号向量最相近, 即可确定出该层的保留信号向量, 因此, 仅需要对根据判 决符号确定的待选符号进行筛选, 不需要对该层的所有可能符号进行筛选, 降低了信号检 测的复杂度。 The embodiment of the invention provides a signal detection method and device. When detecting a signal received by an N-layer spatial multiplexing transmission system, when detecting the N-1 layer to the first layer, the channel is first determined. The spatially received symbol removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the layer channel space, and further determines the candidate symbols closest to the decision symbols, and then determines according to these Among the signal vectors determined by the candidate symbols, which are the closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space in the signal space received by the current channel space, the reserved signal vector of the layer can be determined, , only need to judge The candidate symbols determined by the decision symbol are filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
如图 2所示, 本发明实施例提供了一种信号检测方法, 包括:  As shown in FIG. 2, an embodiment of the present invention provides a signal detection method, including:
5101、 接收端根据通过 N层空间复用传输系统接收的信号序列以及通过信道矩阵 QR 分解得到的酉矩阵, 确定等效接收向量;  5101. The receiving end determines an equivalent receiving vector according to a signal sequence received by the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
5102、 接收端在第 N层信道空间对应的符号中, 根据通过信道矩阵 QR分解得到的上 三角等效信道增益矩阵, 确定与等效接收向量中对应该层的元素去除该层信道空间的等效 信道增益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号作为一个信 号向量;  5102. The receiving end determines, in the symbol corresponding to the channel space of the Nth layer, the element corresponding to the corresponding layer in the equivalent receiving vector, according to the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition. The symbol obtained by the effect of the channel gain is the closest to the symbol of the set number, and each of the determined symbols is used as a signal vector;
S103、 对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接收端对最近一 次确定的每个信号向量, 居上三角等效信道增益矩阵确定等效接收向量中对应该层的元 素去除该信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决符号, 对每 个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的待选符号, 并根 据所有待选符号、 确定待选符号的信号向量及上三角等效信道增益矩阵, 确定出与由等效 接收向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等效信道增益 的影响后得到的信号向量最相近的设定个数的信号向量;  S103. For each layer channel space in the N-1 layer channel space to the layer 1 channel space, the receiving end determines the equivalent receiving vector for each of the most recently determined signal vectors and the upper triangular equivalent channel gain matrix. The decision symbol corresponding to the element of the layer is removed from the interference of the signal vector and the equivalent channel gain of the channel space of the layer, and each decision symbol is determined and set in the symbol corresponding to the channel space of the layer. The number of the candidate symbols closest to the number, and according to all the candidate symbols, determining the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, determining the corresponding Nth layer to the current layer in the equivalent receiving vector The signal vector composed of elements removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
S104、 根据在第 1层信道空间确定的信号向量, 确定信号检测结果。  S104. Determine a signal detection result according to the signal vector determined in the layer 1 channel space.
通过对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接收端对最近一次 确定的每个信号向量, 确定该层信道空间接收的符号去除该信号向量对其的千扰及该层信 道空间的等效信道增益的影响后的判决符号, 并才 居与判决符号相近的待选符号确定当前 层的信号向量, 降低了信号检测的复杂度。  Passing the signal space of each layer in the channel space of the N-1th layer to the channel space of the layer 1 channel, the receiving end determines each symbol vector received in the channel space of the layer to remove the signal vector. The decision symbol after the influence of the interference and the equivalent channel gain of the channel space of the layer, and the candidate symbol close to the decision symbol determine the signal vector of the current layer, which reduces the complexity of signal detection.
在接收端接收到信号序列后, 需要对该信号序列进行处理, 以实现本发明实施例中的 分层检测, 因此, 在 对信道矩阵进行 QR分解, 分解成酉矩阵及上三角 等效信道增益矩阵 R , 其中 N为信道空间的层数, 并将接收到的信号
Figure imgf000006_0001
After receiving the signal sequence at the receiving end, the signal sequence needs to be processed to implement the layered detection in the embodiment of the present invention. Therefore, the channel matrix is QR decomposed and decomposed into a unitary matrix and an upper triangular equivalent channel gain. a matrix R, where N is the number of layers in the channel space and the received signal
Figure imgf000006_0001
序列左乘酉矩阵的转置矩阵, 以实现对接收信号序列的分层, 得到等效接收向量 y = [n ]rThe sequence is left-multiplied by the transposed matrix of the matrix to achieve layering of the received signal sequence, resulting in an equivalent received vector y = [n ] r .
在进行分层检测时, 较佳的, 为了便于实施, 可以设定每一层信道空间确定的信号向 量个数相同, 当然, 本领域技术人员也可以根据实际情况釆用其他可行方式设定每一层信 道空间确定的信号向量个数, 本发明实施例中, 以每层信道空间确定的信号向量个数相同 为例进行说明。  Preferably, in order to facilitate the implementation, the number of signal vectors determined by each layer of the channel space may be set to be the same. Of course, those skilled in the art may set other feasible methods according to actual conditions. In the embodiment of the present invention, the number of signal vectors determined by the channel space of each layer is the same as an example.
较佳的, 可以通过两个信号之间的欧氏距离平方来确定两个信号之间的相近程度, 两 个信号之间的欧氏距离平方越小, 两个信号之间的相近程度越大, 因此, S102中与等效接 收向量在该层的符号去除该层信道空间的等效信道增益的影响后得到的符号最相近的设 定个数的符号, 可以为: Preferably, the degree of similarity between the two signals can be determined by the square of the Euclidean distance between the two signals, The smaller the square of the Euclidean distance between the signals, the greater the degree of similarity between the two signals. Therefore, the effect of the equivalent received vector in S102 on the equivalent channel gain of the layer's channel space is removed in S102. The symbols with the closest number of symbols obtained can be:
与等效接收向量在该层的符号去除该层信道空间的等效信道增益的影响后得到的符 号欧氏距离平方最小的设定个数的符号;  And a symbol of a set number of the equivalent reception vector obtained after the symbol of the layer removes the equivalent channel gain of the layer channel space, and the symbol Euclidean distance squared is the smallest;
S103 中对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近 的待选符号, 可以为:  In S103, each of the decision symbols is determined in the symbol corresponding to the channel space of the layer, and the set number of the candidate symbols closest to the same is determined, which may be:
对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其欧氏距离平方 最小的待选符号;  Determining, in each of the symbols corresponding to the channel space of the layer, a set number of candidate symbols having the smallest square of the Euclidean distance;
S103 中信号向量确定出与由等效接收向量的第 N层至当前层的符号组成的信号向量 去除相应信道空间的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向 量, 可以为:  The signal vector in S103 determines a signal with the closest set of signal vectors obtained by removing the influence of the equivalent channel gain of the corresponding channel space by the signal vector composed of the symbols of the Nth layer to the current layer of the equivalent received vector. Vector, can be:
从由待选符号与确定该待选符号的信号向量组成的待选信号向量中, 确定设定个数的 信号向量,该设定个数的信号向量通过第 N层至当前层的信道空间传输后得到的信号向量 与等效接收向量中对应第 N层至当前层的元素组成的信号向量的累积欧氏距离平方最小, 累积欧氏距离平方具体为两个信号向量的每一个对应符号之间的欧氏距离平方的和。  Determining, from a candidate signal vector consisting of the candidate symbol and the signal vector determining the candidate symbol, a set number of signal vectors, the set number of signal vectors being transmitted through the channel space of the Nth layer to the current layer The obtained signal vector and the equivalent Euclidean distance squared of the signal vector composed of the elements corresponding to the Nth layer to the current layer in the equivalent receiving vector are the smallest, and the cumulative Euclidean distance square is specifically between each corresponding symbol of the two signal vectors. The sum of the squared Euclidean distances.
由于第 N层信道空间传输的信号不会受其他信道空间传输的信号的千扰, 因此信道矩 阵经过 QR分解后得到的上三角等效信道增益矩阵的第 N行第 N列的元素不为零, 第 N 行其他元素均为零, 而第 N-1层至第 1层信道空间传输的信号都会受其他信号传输的信号 的千扰, 上三角等效信道增益矩阵中对应第 N-1层至第 1层信道空间的每一行中不为零的 元素个数均大于 1 , 因此, 本发明实施例中对第 N层信道空间的符号进行检测的方法与对 其他信道空间的符号检测的方法不同, 并且需要从第 N层信道空间开始检测。  Since the signal transmitted in the Nth channel space is not disturbed by the signal transmitted in other channel space, the elements of the Nth row and the Nth column of the upper triangular equivalent channel gain matrix obtained by QR decomposition are not zero. The other elements in the Nth row are all zero, and the signals transmitted in the N-1th to the 1st channel are subject to the interference of the signals transmitted by other signals, and the corresponding N-1th layer in the upper triangular equivalent channel gain matrix. The number of elements that are not zero in each row of the layer 1 channel space is greater than 1. Therefore, the method for detecting the symbols of the channel space of the Nth layer and the method for detecting the symbols of other channel spaces in the embodiment of the present invention Different, and need to start detection from the Nth layer channel space.
较佳的, 在对第 N层进行检测时, 确定符号与信号向量等效接收向量中对应该层的元 素去除该层信道空间的等效信道增益的影响后得到的符号欧氏距离平方为 dlq =\ yN Nxq \ 其中 ^为等效接收向量中第 N行元素, rw ^为上三角等效信道增益矩 阵中第 N行第 N列的元素, X为该符号, 具体的, 如图 3所示, S102中接收端在第 N层 信道空间对应的符号中, 居通过信道矩阵分解得到的上三角等效信道增益矩阵, 确定信 号向量等效接收向量中对应该层的元素去除该层信道空间的等效信道增益的影响后得到 的符号最相近的设定个数的符号具体包括: Preferably, when detecting the Nth layer, determining the influence of the symbol and the equivalent vector of the signal vector corresponding to the element in the signal vector to remove the equivalent channel gain of the channel space of the layer, the square of the Euclidean distance obtained is d. Lq =\ y NN x q \ where ^ is the Nth row element in the equivalent received vector, r w ^ is the element of the Nth row and the Nth column in the upper triangular equivalent channel gain matrix, X is the symbol, specifically, As shown in FIG. 3, in S102, the receiving end is in the symbol corresponding to the Nth channel space, and the upper triangular equivalent channel gain matrix obtained by channel matrix decomposition is used to determine the element removal of the corresponding layer in the equivalent vector of the signal vector. The symbols of the most similarly set symbols obtained after the influence of the equivalent channel gain of the layer channel space specifically include:
S1021、 接收端对该层信道空间对应的符号中的每个符号, 确定该符号与等效接收向 量在该层的符号去除该层信道空间的等效信道增益的影响后得到的符号的欧氏距离平方 S1021: The receiving end determines, according to each symbol in the symbol corresponding to the layer channel space, the Euclidean symbol obtained by the symbol and the equivalent receiving vector after the symbol of the layer removes the equivalent channel gain of the layer channel space. Distance square
^ q =1 yN ~ rN,NXq I ; ^ q =1 yN ~ r N, N X q I ;
S1022、 确定欧氏距离平方 最小的设定个数的符号。 通过公式 =\ yN - Nxq I2来计算符号与等效接收向量对应该层的符号去除该层信道 空间的等效信道增益的影响后得到的符号之间的欧氏距离平方, 进而选择 最小的设定 个数的符号, 可以筒单直观的确定出第 N层要保留的符号。 当然, 本领域技术人员可以釆 用其他可行方式进行与该层信道空间接收的符号去除该层信道空间的等效信道增益的影 响后得到的符号最相近的设定个数的符号的确定, 此处不再一一叙述。 S1022: Determine a symbol of a set number of the smallest Euclidean distance squared. Calculating the square of the Euclidean distance between the symbols obtained by subtracting the influence of the equivalent channel gain on the symbol of the layer corresponding to the equivalent received signal by the formula =\ y N - N x q I 2 , and then By selecting the minimum number of set symbols, you can intuitively determine the symbols to be retained in the Nth layer. Certainly, those skilled in the art may use other feasible methods to determine the number of symbols that are closest to the symbol obtained by removing the equivalent channel gain of the channel space of the layer channel space. It is no longer described one by one.
在对其他层进行检测时, 本发明实施例中通过根据接收端接收到的信号以及等效信道 增益确定接收端接收到的信号在发送前对应的信号, 并从发送端可能发送的信号中确定与 其较接近的信号, 从而降低检测的复杂度, 由于信道空间传输的信号会对其上层信道空间 传输的信号产生千扰, 因此每一层接收端接收到的信号与发送端发送的信号的关系为 yt = ruXj. m + r ix m , 其中 为该层信道空间的编号, e {1, · · · ,Μ} , Μ为最近一次确定 ='■+1 ' ' In the embodiment of the present invention, the signal corresponding to the signal received by the receiving end is determined according to the signal received by the receiving end and the equivalent channel gain, and is determined from the signal that may be sent by the transmitting end. The signal is closer to the signal, thereby reducing the complexity of the detection. Since the signal transmitted by the channel space will interfere with the signal transmitted by the upper layer channel space, the relationship between the signal received by the receiving end of each layer and the signal sent by the transmitting end Let y t = r u Xj. m + r i x m , where is the number of the channel space of the layer, e {1, · · · , Μ} , Μ is the last time determined = '■ +1 ''
的信号向量的个数, r 为上三角等效信道增益矩阵中第 i行第 j列的元素, .为上三角等 效信道增益矩阵中第 i行第 i列的元素, X m为第 m个信道序列中的第 j行的符号, 为 信号向量等效接收向量中第 i行的元素。 The number of signal vectors, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, and X m is the mth The symbol of the jth row in the channel sequence is the element of the i-th row in the signal vector equivalent reception vector.
因此, 对每一层信道空间进行检测时, 可以通过根据等效接收向量中对应该层的元素 及最近一次确定的信号向量对该层信号的传输产生的千扰, 及当前层的等效信道增益来确 定判决符号, 具体的, 确定判决符号为^^二 -
Figure imgf000008_0001
Therefore, when detecting each layer of channel space, the interference caused by the transmission of the layer signal according to the element corresponding to the layer in the equivalent reception vector and the most recently determined signal vector, and the equivalent channel of the current layer can be obtained. Gain to determine the decision symbol, specifically, the decision symbol is ^^二-
Figure imgf000008_0001
确定判决符号后, 对每个判决符号确定设定个数的待选符号, 由于待选符号与判决符 号的欧氏距离平方小, 相近程度高, 与发送端发送的信号的相近程度也高, 因此可以根据 待选符号与最近一次确定的信号向量来确定当前层的信号向量, 减小信号检测的复杂度。  After determining the decision symbol, a predetermined number of candidate symbols are determined for each decision symbol. Since the Euclidean distance of the candidate symbol and the decision symbol is small, the degree of similarity is high, and the signal sent by the transmitting end is also close to each other. Therefore, the signal vector of the current layer can be determined according to the candidate symbol and the most recently determined signal vector, and the complexity of signal detection is reduced.
本发明实施例提供一种确定待选符号的方法, 具体包括:  An embodiment of the present invention provides a method for determining a candidate symbol, which specifically includes:
对每个判决符号, 确定该判决符号在星座图上所属的区域, 并才 居区域与该层信道空 间对应的符号的映射关系, 确定该区域对应的符号为待选符号, 该区域与该层信道空间对 应的符号的映射关系具体为, 确定该层信道空间对应的符号的星座点, 及为每组两两之间 平面距离最近的设定个数的星座点确定该组星座点的对应区域后, 确定的每组星座点对应 的符号与该组星座点的对应区域间的映射关系, 该对应区域中的任一星座点与该组星座点 的平面距离的和小于与其它组星座点的平面距离的和。  For each decision symbol, determining a region to which the decision symbol belongs on the constellation diagram, and mapping the region to a symbol corresponding to the channel space of the layer, and determining that the symbol corresponding to the region is a candidate symbol, the region and the layer The mapping relationship of the symbols corresponding to the channel space is specifically: determining a constellation point of the symbol corresponding to the channel space of the layer, and determining a corresponding area of the constellation point for the set number of constellation points whose plane distance is closest to each group And determining a mapping relationship between a symbol corresponding to each set of constellation points and a corresponding region of the set of constellation points, where a sum of plane distances of any constellation points in the corresponding region and the set of constellation points is smaller than that of other group constellation points The sum of the plane distances.
具体的,对于长期演进(Long Term Evolution, LTE )釆用 4层空间复用传输的模式下, 以 16QAM调制方式下的检测为例, 如图 4所示, 为每组两两之间平面距离最近的 4个的 星座点确定该组星座点的对应区域, 确定的每组星座点对应的符号与该组星座点的对应区 域间的映射关系如表 1所示。 表 1中存储的是图 4中星座点的编号。  Specifically, for the Long Term Evolution (LTE) mode in which four layers of spatial multiplexing transmission are used, the detection in the 16QAM modulation mode is taken as an example, as shown in FIG. 4, the plane distance between each group is two. The nearest four constellation points determine the corresponding regions of the set of constellation points, and the mapping relationship between the corresponding symbols of each set of constellation points and the corresponding regions of the set of constellation points is as shown in Table 1. Stored in Table 1 is the number of the constellation points in Figure 4.
区域 候选列表 1 13,14,15,16 Regional candidate list 1, 13, 14, 15, 16
2 9,11,13,15  2 9,11,13,15
3 9,10,11,12  3 9,10,11,12
4 5,6,13,14  4 5,6,13,14
5 1,5,9,13  5 1,5,9,13
6 1,2,9,10  6 1,2,9,10
7 5,6,7,8  7 5,6,7,8
8 1,3,5,7  8 1,3,5,7
9 1,2,3,4  9 1,2,3,4
表 116QAM下的区域查找表  Table 116QAM area lookup table
当进行待选符号确定时, 若判决符号位于区域 1, 则待选符号为 13、 14、 15、 16, 若 判决符号位于区域 3, 则待选符号为 9、 10、 11、 12。 检测的复杂度。  When the candidate symbol is determined, if the decision symbol is located in area 1, the candidate symbols are 13, 14, 15, and 16. If the decision symbol is located in area 3, the candidate symbols are 9, 10, 11, and 12. The complexity of the detection.
确定出待选符号后, 就可以才 居待选符号及确定该待选符号的信号向量以及上三角等 效信道增益矩阵确定本层信道空间要保留的信号向量。 本发明实施例中首先确定每个待选 符号与确定该待选符号的信号向量组成的待选信号向量的欧氏距离平方增量, 再将该欧氏 距离平方增量与确定该待选符号的信号向量的累积欧氏距离平方相加, 得到待选信号向量 的累积欧氏距离平方, 由于累积欧氏距离平方越小, 待选信号向量与等效接收向量中对应 第 N层至当前层的元素组成的信号向量接近程度越高,可以确定设定个数的累积欧氏距离 平方最小的待选信号向量为要保留的信号向量。 实际应用中, 如图 5所示, S103中才 居所 有待选符号、 确定待选符号的信号向量及上三角等效信道增益矩阵, 确定出与由等效接收 向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等效信道增益的影 响后得到的信号向量最相近的设定个数的信号向量, 包括:  After the candidate symbol is determined, the signal to be selected and the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined to determine the signal vector to be reserved in the channel space of the layer. In the embodiment of the present invention, first, determining an Euclidean distance squared increment of each candidate symbol and a signal vector for determining the signal vector of the candidate symbol, and then increasing the Euclidean distance squared increment and determining the candidate symbol. The cumulative Euclidean distance square of the signal vector is added to obtain the cumulative Euclidean distance square of the candidate signal vector. The smaller the cumulative Euclidean distance square is, the corresponding Nth layer to the current layer in the candidate signal vector and the equivalent receiving vector. The higher the degree of closeness of the signal vector composed of the elements, the more the candidate signal vector with the smallest cumulative Euclidean distance squared is set as the signal vector to be reserved. In practical applications, as shown in FIG. 5, all the candidate symbols are selected in S103, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined, and the corresponding Nth layer to the current layer in the equivalent receiving vector is determined. The signal vector composed of the elements removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector has the closest set number of signal vectors, including:
5501、 对每个待选符号, 确定该待选符号与确定该待选符号的信号向量组成的待选信 号向量;  S501. Determine, for each candidate symbol, a candidate signal vector that is formed by the candidate symbol and a signal vector that determines the candidate symbol.
5502、确定待选信号向量经过第 N层信道空间至当前信道空间传输后的信号向量中对 应当前层的符号;  S502: Determine a symbol of a signal that should be selected in the signal vector after the candidate signal vector passes through the Nth channel space to the current channel space.
S503、 确定待选信号向量的欧氏距离平方增量 ^)^^^-
Figure imgf000009_0001
S503. Determine an Euclidean distance squared increment of the candidate signal vector ^)^^^-
Figure imgf000009_0001
其中 m,。为第 i层信道空间中才 居第 m个判决符号确定的第 a个待选符号, 第 i层信道空 间为当前信道空间, ∞εα···,Μ} , M 为前一层信道空间确定的信号向量的个数, ae {1,···,^} , A为当前层信道空间设定的根据每个判决符号确定的待选符号的个数, X m 为确定该待选符号的信号向量, .为等效接收向量中第 i行的元素, r 为等效信道矩阵中 第 i行第 j列的元素, 为上三角等效信道增益矩阵中第 i行第 i列的元素; Where m,. For the a-th candidate symbol determined by the mth decision symbol in the i-th channel space, the i-th channel space is the current channel space, ∞εα···, Μ}, and M is the channel space of the previous layer. The number of signal vectors, ae {1,···,^} , A is the number of candidate symbols determined according to each decision symbol set by the current layer channel space, X m To determine the signal vector of the candidate symbol, which is the element of the ith row in the equivalent received vector, r is the element of the i-th row and the j-th column in the equivalent channel matrix, which is the i-th in the upper triangular equivalent channel gain matrix. The elements of row i;
5504、对每个待选符号,确定累积欧氏距离平方 BM(( -\)xA + a) = bm(m) + di m_1)xa+a , 其中, bm( )为在第 i+1 层信道空间确定的第 m 个信号向量的累积欧氏距离平方, BM(( -l)x + 为在第 i层信道空间的第( -l)x + "个待选信道向量的累积欧氏距离平 方; 5504. For each candidate symbol, determine a cumulative Euclidean distance square BM(( -\)xA + a) = bm(m) + d im _ 1)xa+a , where bm( ) is at the i+ The cumulative Euclidean distance squared of the mth signal vector determined by the layer 1 channel space, BM(( -l)x + is the cumulative (-l)x + "accumulated channel vector of the i-th channel space" Square of distance;
5505、 从待选信号向量中, 确定设定个数的累积欧氏距离平方最小的信号向量。  5505. Determine, from the candidate signal vector, a signal vector with a minimum number of accumulated Euclidean distance squares.
较佳的, 在未编码系统中, 接收端将第一层信道空间确定的设定个数的信号向量转化 为比特输出即为检测结果。 然而在编码的系统中, 步骤 S104可以通过软比特值计算来实 现, 当然, 本领域的技术人员可以釆用其他可行方式, 设定检测结果, 此处不再——叙述。  Preferably, in the uncoded system, the receiving end converts the set number of signal vectors determined by the first layer of channel space into bit outputs, that is, the detection result. However, in the coded system, step S104 can be implemented by soft bit value calculation. Of course, those skilled in the art can use other feasible methods to set the detection result, which is not described here.
较佳的, 本发明实施例提供的信号检测方法可以通过树形搜索的形式实现, 此时, 对 第 N层进行检测时确定的欧氏距离平方即为树形搜索中的分支度量值,对第 N-1至第一层 进行检测时确定的累积欧氏距离平方即为累积分支度量值, 欧氏距离平方增量即为累积分 支度量值增量, 具体的, 如图 6所示, 本发明实施例提供一种具体的信号检测的方法, 包 括:  Preferably, the signal detection method provided by the embodiment of the present invention can be implemented in the form of a tree search. At this time, the square of the Euclidean distance determined when detecting the Nth layer is the branch metric value in the tree search. The cumulative Euclidean distance square determined by the N-1th to the first layer is the cumulative branch metric, and the Euclidean distance squared increment is the cumulative branch metric increment. Specifically, as shown in FIG. The embodiment of the invention provides a specific method for signal detection, including:
S601、 通过对信道矩阵进行 QR分解, 确定信道矩阵的酉矩阵及上三角等效信道增益 矩阵 R , 其中 N为信道空间的层数;
Figure imgf000010_0001
S601. Determine, by performing QR decomposition on the channel matrix, a unit matrix of the channel matrix and an upper triangular equivalent channel gain matrix R, where N is a layer number of the channel space;
Figure imgf000010_0001
5602、通过将接收信号向量左乘酉矩阵的转置矩阵,确定等效接收向量 y = [; ·· ]Τ , 设定输出矩阵 Χ¾Λ输出矩阵为 Ν*Μ矩阵, 在初始设定时为空矩阵, 设定 bm为 1*Μ的 向量; 5602. Determine the equivalent receiving vector y = [; ·· ] Τ by multiplying the received signal vector by the transposed matrix of the 酉 matrix, and set the output matrix Χ 3⁄4 Λ the output matrix is Ν*Μ matrix, at initial setting For an empty matrix, set a vector with bm of 1*Μ;
5603、 对于第 N层符号进行搜索, 接收端确定发送端能够在第 N层发送的符号的符 号集合, 对集合中的每个符号, 确定该符号的分支度量值 =|^_/^¾|2, 其中 ^为等 效接收向量中第 N行元素, ,Ν为上三角等效信道增益矩阵中第 N行第 N列的元素, X为 该符号, 将该分支度量值作为累积分支度量值保存在 bm中; 5603. Searching for the Nth layer symbol, the receiving end determines a symbol set of the symbol that the sending end can send at the Nth layer, and determining, for each symbol in the set, a branch metric value of the symbol=|^_/^ 3⁄4 | 2 , where ^ is the Nth row element in the equivalent receiving vector, and Ν is the element of the Nth row and the Nth column in the upper triangular equivalent channel gain matrix, where X is the symbol, and the branch metric is used as the cumulative branch metric Saved in bm;
S604、 确定分支度量值最小的 M个符号作为发送端在第 N层发送的符号的 M个保留 符号, 将保留符号保存在输出矩阵中, 将保留符号对应的分支度量值保留在 bm中;  S604. Determine M symbols with the smallest branch metric as the M reserved symbols of the symbol sent by the sending end at the Nth layer, save the reserved symbols in the output matrix, and keep the branch metric values corresponding to the reserved symbols in bm;
S605、 对于第 N-1层至第 1层符号进行搜索, 对输出矩阵中的 M个保留分支, 确定 M个判决符号 ,m -
Figure imgf000010_0002
, 其中 为该层信道空间的层数, r 为上三角等效 信道增益矩阵中第 i行第 j列的元素, riJ为上三角等效信道增益矩阵中第 i行第 i列的元素, 为输出矩阵中第 i行第 m列的元素, mG {1,···, } , 为等效接收向量中第 i行的元 素;
S605. Search for the N-1th layer to the 1st layer symbol, reserve M branches in the output matrix, and determine M decision symbols, m -
Figure imgf000010_0002
, where is the number of layers in the channel space of the layer, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and riJ is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, The element of the mth column in the mth row of the output matrix, mG {1,···, } , is the element of the i-th row in the equivalent receiving vector Prime
5606、 确定发送端能够在该层发送的所有符号的集合;  S606, determining a set of all symbols that the sender can send at the layer;
5607、 对每个判决符号, 才 居区域与符号的映射关系确定集合中与判决量欧氏距离平 方最小的 A个符号, 作为发送端在该层发送的符号的 A个待选符号;  5607. For each of the decision symbols, the mapping relationship between the area and the symbol determines the A symbols in the set that are the smallest squared with the Euclidean distance of the decision, and are the A candidate symbols of the symbols sent by the transmitting end at the layer;
S608、根据 M*A个待选符号及每个待选符号对应的保留分支确定 M* A个分支度量值 增量 1 Μ+。=^- ,其中 为该层信道空间的层数, 为等效接收向
Figure imgf000011_0001
S608. Determine, according to the M*A candidate symbols and the reserved branch corresponding to each candidate symbol, an M*A branch metric increment of 1 Μ+ . =^- , where is the number of layers in the channel space of this layer, which is the equivalent receiving direction
Figure imgf000011_0001
量中第 i行的元素, r 为上三角等效信道增益矩阵中第 i行第 j列的元素, riJ为上三角等 效信道增益矩阵中第 i 行第 i 列的元素, 为输出矩阵中第 i 行第 m 列的元素, me {l,---, } , m,。为第 i 层信道中根据第 m 个判决量确定的第 a 个待选可能值, ae {1,···,^}; The element of the i-th row in the quantity, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and riJ is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, which is in the output matrix The element of the mth column of the i-th row, me {l,---, }, m ,. The a-th candidate to be selected according to the mth decision amount in the i-th channel, ae {1,····,^};
S609、 根据 M*A 个分支度量值增量确定 M*A 个累 积分支度量值 BM((m -ΐ)χΑ + α) = bm(m) + d m_l)xA+a , 其中, bm( )为在第 i+1层信道确定的第 m个分支 的累积分支度量值, BM((m - 1)χ^ + β)为在第 i层信道空间的第( - 1) X + "个待选信道向 量的累积欧氏距离平方; S609. Determine, according to the M*A branch metric increments, M*A cumulative branch metrics BM((m - ΐ) χΑ + α) = bm(m) + d m _ l)xA+a , where, bm ( ) is the cumulative branch metric of the mth branch determined on the i+1th channel, BM((m - 1)χ^ + β) is the (-1)X + in the i-th channel space The cumulative Euclidean distance squared of the candidate channel vectors;
S610、确定 M个最小的累积分支度量值, 并确定其对应的分支, 将其对应的分支作为 待选保留分支, 存入输出矩阵, 将保留分支对应的累积分支度量值存入 bm;  S610. Determine M minimum cumulative branch metric values, and determine corresponding branches, and use the corresponding branch as a reserved branch to be stored in the output matrix, and store the cumulative branch metric corresponding to the reserved branch into bm;
S611、 根据在第 1层信道空间确定的 M个保留分支, 确定信号检测结果。  S611. Determine a signal detection result according to the M reserved branches determined in the layer 1 channel space.
如图 7所示, 本发明实施例提供了一种信号检测装置, 包括:  As shown in FIG. 7, an embodiment of the present invention provides a signal detecting apparatus, including:
第一确定单元 701, 用于根据通过 N层空间复用传输系统接收的信号序列以及通过信 道矩阵 QR分解得到的酉矩阵, 确定等效接收向量;  a first determining unit 701, configured to determine an equivalent receiving vector according to a signal sequence received by the N-layer spatial multiplexing transmission system and a unitary matrix obtained by channel matrix QR decomposition;
第二确定单元 702, 用于在第 N层信道空间对应的符号中, 居通过信道矩阵 QR分 解得到的上三角等效信道增益矩阵, 确定与等效接收向量中对应该层的元素去除该层信道 空间的等效信道增益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号 作为一个信号向量;  The second determining unit 702 is configured to: in the symbol corresponding to the Nth channel space, the upper triangular equivalent channel gain matrix obtained by the channel matrix QR decomposition, and determine the element corresponding to the corresponding layer in the equivalent receiving vector to remove the layer The symbol obtained by the equivalent channel gain of the channel space is the closest to the symbol, and the determined symbol is used as a signal vector;
第三确定单元 703 ,用于对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 对最近一次确定的每个信号向量, 居上三角等效信道增益矩阵确定等效接收向量中对应 该层的元素去除该信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决 符号, 对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的待选 符号, 并才 居所有待选符号、 确定待选符号的信号向量及上三角等效信道增益矩阵, 确定 出与由等效接收向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等 效信道增益的影响后得到的信号向量最相近的设定个数的信号向量;  The third determining unit 703 is configured to determine, for each of the most recently determined signal vectors, the upper triangular equivalent channel gain matrix, etc., for each of the Nth layer channel space to the layer 1 channel space. In the effect receiving vector, the element corresponding to the layer removes the influence symbol of the signal vector and the equivalent channel gain of the channel space of the layer, and each decision symbol is in the symbol corresponding to the channel space of the layer. Determining the number of selected symbols to be closest to each other, and occupying all the candidate symbols, determining the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, and determining the corresponding Nth layer in the equivalent receiving vector The signal vector composed of the elements of the current layer removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors;
第四确定单元 704, 用于根据在第 1层信道空间确定的信号向量, 确定信号检测结果。 通过对第 N-l层信道空间至第 1层信道空间中的每一层信道空间, 接收端对最近一次 确定的每个信号向量, 确定该层信道空间接收的符号去除该信号向量对其的千扰及该层信 道空间的等效信道增益的影响后的判决符号, 并才 居与判决符号相近的待选符号确定当前 层的信号向量, 降低了信号检测的复杂度。 The fourth determining unit 704 is configured to determine a signal detection result according to the signal vector determined in the layer 1 channel space. By using the channel space of the N1 layer to the channel space of the layer 1 channel space, the receiving end determines the symbol received by the layer channel space for each signal vector that is determined last time, and removes the interference of the signal vector. And the decision symbol after the influence of the equivalent channel gain of the layer channel space, and the candidate symbol close to the decision symbol determines the signal vector of the current layer, which reduces the complexity of signal detection.
在接收端接收到信号序列后, 需要对该信号序列进行处理, 以实现本发明实施例中的 分层检测, 因此第一确定单元 701首先需要对信道矩阵进行 QR分解, 分解成酉矩阵及上 三角等效信道增益矩阵 R : 其中 N为信道空间的层数, 并将接收到的
Figure imgf000012_0001
After receiving the signal sequence on the receiving end, the signal sequence needs to be processed to implement the layered detection in the embodiment of the present invention. Therefore, the first determining unit 701 first needs to perform QR decomposition on the channel matrix, and decompose it into a matrix and on the matrix. Triangular equivalent channel gain matrix R: where N is the number of layers in the channel space and will be received
Figure imgf000012_0001
信号序列左乘酉矩阵的转置矩阵, 以实现对接收信号序列的分层, 得到等效接收向量 y = [n ]rThe signal sequence is left-multiplied by the transposed matrix of the matrix to achieve layering of the received signal sequence, resulting in an equivalent received vector y = [n ] r .
在进行分层检测时, 较佳的, 为了便于实施, 可以设定每一层信道空间确定的信号向 量个数相同, 当然, 本领域技术人员也可以根据实际情况釆用其他可行方式设定每一层信 道空间确定的信号向量个数, 本发明实施例中, 以每层信道空间确定的信号向量个数相同 为例进行说明。  Preferably, in order to facilitate the implementation, the number of signal vectors determined by each layer of the channel space may be set to be the same. Of course, those skilled in the art may set other feasible methods according to actual conditions. In the embodiment of the present invention, the number of signal vectors determined by the channel space of each layer is the same as an example.
较佳的, 可以通过两个信号之间的欧氏距离平方来确定两个信号之间的相近程度, 两 个信号之间的欧氏距离平方越小, 两个信号之间的相近程度越大, 因此, 与等效接收向量 在该层的符号去除该层信道空间的等效信道增益的影响后得到的符号最相近的设定个数 的符号, 可以为:  Preferably, the degree of closeness between the two signals can be determined by the square of the Euclidean distance between the two signals. The smaller the square of the Euclidean distance between the two signals, the greater the degree of similarity between the two signals. Therefore, the symbol of the set number that is closest to the symbol obtained by the equivalent received vector after the symbol of the layer is removed from the equivalent channel gain of the layer channel space may be:
与等效接收向量在该层的符号去除该层信道空间的等效信道增益的影响后得到的符 号欧氏距离平方最小的设定个数的符号;  And a symbol of a set number of the equivalent reception vector obtained after the symbol of the layer removes the equivalent channel gain of the layer channel space, and the symbol Euclidean distance squared is the smallest;
对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的待选 符号, 可以为:  For each decision symbol, the set number of the candidate symbol closest to the set is determined in the symbol corresponding to the channel space of the layer, which may be:
对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其欧氏距离平方 最小的待选符号;  Determining, in each of the symbols corresponding to the channel space of the layer, a set number of candidate symbols having the smallest square of the Euclidean distance;
确定出与由等效接收向量的第 N层至当前层的符号组成的信号向量去除相应信道空间 的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向量, 可以为:  Determining a signal vector that is the closest to the signal vector obtained by removing the influence of the equivalent channel gain of the corresponding channel space by the signal vector composed of the symbol of the Nth layer to the current layer of the equivalent reception vector, which may be :
从由待选符号与确定该待选符号的信号向量组成的待选信号向量中, 确定设定个数的 信号向量,该设定个数的信号向量通过第 N层至当前层的信道空间传输后得到的信号向量 与等效接收向量中对应第 N层至当前层的元素组成的信号向量的累积欧氏距离平方最小, 累积欧氏距离平方具体为两个信号向量的每一个对应符号之间的欧氏距离平方的和。  Determining, from a candidate signal vector consisting of the candidate symbol and the signal vector determining the candidate symbol, a set number of signal vectors, the set number of signal vectors being transmitted through the channel space of the Nth layer to the current layer The obtained signal vector and the equivalent Euclidean distance squared of the signal vector composed of the elements corresponding to the Nth layer to the current layer in the equivalent receiving vector are the smallest, and the cumulative Euclidean distance square is specifically between each corresponding symbol of the two signal vectors. The sum of the squared Euclidean distances.
由于第 N层信道空间传输的信号不会受其他信道空间传输的信号的千扰, 因此信道矩 阵经过 QR分解后得到的上三角等效信道增益矩阵的第 N行第 N列的元素不为零, 第 N 行其他元素均为零, 而第 N- 1层至第 1层信道空间传输的信号都会受其他信号传输的信号 的千扰, 上三角等效信道增益矩阵中对应第 N- 1层至第 1层信道空间的每一行中不为零的 元素个数均大于 1 , 因此, 本发明实施例中对第 N层信道空间的符号进行检测的方法与对 其他信道空间的符号检测的方法不同, 并且需要从第 N层信道空间开始检测。 Since the signal transmitted in the Nth channel space is not disturbed by the signal transmitted in other channel space, the elements of the Nth row and the Nth column of the upper triangular equivalent channel gain matrix obtained by QR decomposition are not zero. , No. N The other elements of the row are all zero, and the signals transmitted by the N-th layer to the layer 1 channel space are interfered by the signals transmitted by other signals, and the corresponding N-th layer to the first in the upper triangular equivalent channel gain matrix The number of elements that are not zero in each row of the layer channel space is greater than one. Therefore, the method for detecting the symbol of the channel space of the Nth layer in the embodiment of the present invention is different from the method for detecting the symbol of other channel spaces, and It is necessary to start detection from the Nth layer channel space.
较佳的, 在对第 N层进行检测时, 确定符号与信号向量等效接收向量中对应该层的元 素去除该层信道空间的等效信道增益的影响后得到的符号欧氏距离平方为 dlq =\ yN - rN,Nxq \ 其中 ^为等效接收向量中第 N行元素, rw ^为上三角等效信道增益矩 阵中第 N行第 N列的元素, X为该符号, 具体的, 第二确定单元 702中在第 N层信道空 间对应的符号中, 居通过信道矩阵分解得到的上三角等效信道增益矩阵, 确定与信号向 量等效接收向量中对应该层的元素去除该层信道空间的等效信道增益的影响后得到的符 号最相近的设定个数的符号具体包括: Preferably, when detecting the Nth layer, determining the influence of the symbol and the equivalent vector of the signal vector corresponding to the element in the signal vector to remove the equivalent channel gain of the channel space of the layer, the square of the Euclidean distance obtained is d. Lq =\ y N - r N , N x q \ where ^ is the element of the Nth row in the equivalent received vector, r w ^ is the element of the Nth row and the Nth column of the upper triangular equivalent channel gain matrix, X is the The symbol, specifically, in the symbol corresponding to the Nth channel space in the second determining unit 702, the upper triangular equivalent channel gain matrix obtained by channel matrix decomposition is determined, and the corresponding layer in the equivalent received vector of the signal vector is determined. After the element removes the influence of the equivalent channel gain of the channel space of the layer, the symbols with the closest set number of symbols are specifically included:
对该层信道空间对应的符号中的每个符号, 确定该符号与等效接收向量在该层的符号 去除该层信道空间的等效信道增益的影响后得到的符号的欧氏距离平方 dlq =\ yN - rN,Nxq \ 其中 ^为等效接收向量中第 N行元素, rw ^为信号向量上三角等效信 道增益矩阵中第 N行第 N列的元素, X为该符号; Determining the Euclidean distance d dq of the symbol obtained by the symbol and the equivalent received vector after the symbol of the layer removes the equivalent channel gain of the layer channel space for each symbol in the symbol corresponding to the layer channel space. =\ y N - r N , N x q \ where ^ is the element of the Nth row in the equivalent received vector, r w ^ is the element of the Nth row and the Nth column of the triangular equivalent channel gain matrix on the signal vector, X is The symbol;
确定欧氏距离平方 最小的设定个数的符号。  Determine the sign of the set number of the smallest Euclidean distance squared.
通过公式^^ ^ - ^,^^^ |2来计算符号与信号向量等效接收向量对应该层的符号去除 该层信道空间的等效信道增益的影响后得到的符号之间的欧氏距离平方, 进而选择 最 小的设定个数的符号, 可以筒单直观的确定出第 Ν层要保留的符号。 当然, 本领域技术人 员可以釆用其他可行方式进行与该层信道空间接收的符号去除该层信道空间的等效信道 增益的影响后得到的符号最相近的设定个数的符号的确定, 此处不再一一叙述。 Calculate the Euclidean distance between the symbols obtained by subtracting the equivalent channel gain of the symbol of the layer from the equivalent received signal of the symbol and the signal vector by the formula ^^ ^ - ^, ^^^ | 2 Squared, and then select the minimum number of set symbols, you can intuitively determine the symbols to be retained by the third layer. Certainly, those skilled in the art may use other feasible methods to determine the number of symbols that are closest to the symbol obtained by removing the equivalent channel gain of the channel space of the layer channel space. It is no longer described one by one.
在对其他层进行检测时, 本发明实施例中通过根据接收端接收到的信号以及等效信道 增益确定接收端接收到的信号在发送前对应的信号, 并从发送端可能发送的信号中确定与 其较接近的信号, 从而降低检测的复杂度, 由于信道空间传输的信号会对其上层信道空间 传输的信号产生千扰, 因此每一层接收端接收到的信号与发送端发送的信号的关系为 = ∑ r x,™ 其中为该层信道空间的编号, ∞ε {1, · · · ,Μ} , Μ为最近一次确定的 ='■+1 ' ' In the embodiment of the present invention, the signal corresponding to the signal received by the receiving end is determined according to the signal received by the receiving end and the equivalent channel gain, and is determined from the signal that may be sent by the transmitting end. The signal is closer to the signal, thereby reducing the complexity of the detection. Since the signal transmitted by the channel space will interfere with the signal transmitted by the upper layer channel space, the relationship between the signal received by the receiving end of each layer and the signal sent by the transmitting end For = ∑ rx , TM where is the number of the channel space for this layer, ∞ ε {1, · · · , Μ} , Μ is the last determined = '■ +1 ''
信号向量的个数, 为上三角等效信道增益矩阵中第 i行第 j列的元素, .为上三角等效 信道增益矩阵中第 i行第 i列的元素, 为第 m个信道序列中的第 j行的符号, 为信 号向量等效接收向量中第 i行的元素。 The number of signal vectors is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, which is the m-th channel sequence. The symbol of the jth line is the element of the i-th row in the signal vector equivalent reception vector.
因此, 对每一层信道空间进行检测时, 可以通过根据等效接收向量中对应该层的元素 及最近一次确定的信号向量对该层信号的传输产生的千扰, 及当前层的等效信道增益来确 定判决符号, 具体的, 确定判决符号为^^ , 确定判决符号后, 对每
Figure imgf000014_0001
Therefore, when detecting each layer of channel space, the interference caused by the transmission of the layer signal according to the element corresponding to the layer in the equivalent reception vector and the most recently determined signal vector, and the equivalent channel of the current layer can be obtained. Gain to be true Determine the decision symbol, specifically, determine the decision symbol as ^^, after determining the decision symbol, for each
Figure imgf000014_0001
个判决符号确定设定个数的待选符号, 由于待选符号与判决符号的欧氏距离平方小, 相近 程度高, 与发送端发送的信号的相近程度也高, 因此可以才 居待选符号与最近一次确定的 信号向量来确定当前层的信号向量, 减低信号检测的复杂度。 The decision symbol determines the set number of candidate symbols, because the Euclidean distance of the candidate symbol and the decision symbol is small, the degree of similarity is high, and the signal sent by the transmitting end is also close, so that the candidate symbol can be selected. The signal vector of the current layer is determined with the last determined signal vector to reduce the complexity of signal detection.
本发明实施例提供一种确定待选符号的方法, 具体包括:  An embodiment of the present invention provides a method for determining a candidate symbol, which specifically includes:
对每个判决符号, 确定该判决符号在星座图上所属的区域, 并才 居区域与该层信道空 间对应的符号的映射关系 确定该区域对应的符号为待选符号, 该区域与该层信道空间对 应的符号的映射关系具体为, 确定该层信道空间对应的符号的星座点, 及为每组两两之间 平面距离最近的设定个数的星座点确定该组星座点的对应区域后, 确定的每组星座点对应 的符号与该组星座点的对应区域间的映射关系, 该对应区域中的任一星座点与该组星座点 的平面距离的和小于与其它组星座点的平面距离的和。  For each decision symbol, determining a region to which the decision symbol belongs on the constellation map, and mapping the region corresponding to the symbol corresponding to the channel space of the layer determines that the symbol corresponding to the region is a candidate symbol, the region and the channel of the layer The mapping relationship between the symbols corresponding to the space is specifically: determining a constellation point of the symbol corresponding to the channel space of the layer, and determining a corresponding region of the constellation point for the constellation point of the set number of the closest distance between the two groups And determining a mapping relationship between a symbol corresponding to each group of constellation points and a corresponding region of the group of constellation points, where a sum of plane distances of any constellation points in the corresponding region and the group of constellation points is smaller than a plane of the other group of constellation points The sum of the distance.
具体的,对于长期演进(Long Term Evolution, LTE )釆用 4层空间复用传输的模式下, 以 16QAM调制方式下的检测为例, 如图 4所示, 为每组两两之间平面距离最近的 4个的 星座点确定该组星座点的对应区域, 确定的每组星座点对应的符号与该组星座点的对应区 域间的映射关系如表 2所示。 表 2中存储的是图 4中星座点的编号。  Specifically, for the Long Term Evolution (LTE) mode in which four layers of spatial multiplexing transmission are used, the detection in the 16QAM modulation mode is taken as an example, as shown in FIG. 4, the plane distance between each group is two. The nearest four constellation points determine the corresponding regions of the set of constellation points, and the mapping relationship between the corresponding symbols of each set of constellation points and the corresponding regions of the set of constellation points is as shown in Table 2. Stored in Table 2 is the number of the constellation points in Figure 4.
Figure imgf000014_0002
Figure imgf000014_0002
表 2 16QAM下的区域查找表  Table 2 Area Lookup Table under 16QAM
当进行待选符号确定时, 若判决符号位于区域 1 , 则待选符号为 13 14 15 16, 若 判决符号位于区域 3 , 则待选符号为 9 10 11 12 号检测的复杂度。  When the candidate symbol is determined, if the decision symbol is located in the area 1, the candidate symbol is 13 14 15 16, and if the decision symbol is located in the area 3, the candidate symbol is the complexity of the detection of 9 10 11 12 .
确定出待选符号后, 就可以才 居待选符号及确定该待选符号的信号向量以及上三角等 效信道增益矩阵确定本层信道空间要保留的信号向量。 本发明实施例中首先确定每个待选 符号与确定该待选符号的信号向量组成的待选信号向量的欧氏距离平方增量, 再将该欧氏 距离平方增量与确定该待选符号的信号向量的累积欧氏距离平方相加, 得到待选信号向量 的累积欧氏距离平方, 由于累积欧氏距离平方越小, 待选信号向量与等效接收向量中对应 第 N层至当前层的元素组成的信号向量接近程度越高,可以确定设定个数的累积欧氏距离 平方最小的待选信号向量为要保留的信号向量。 实际应用中, 第三确定单元 703中才 居所 有待选符号、 确定待选符号的信号向量及上三角等效信道增益矩阵, 确定出与由等效接收 向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等效信道增益的影 响后得到的信号向量最相近的设定个数的信号向量, 具体用于: After the candidate symbol is determined, the signal to be selected and the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix are determined to determine the signal vector to be reserved in the channel space of the layer. In the embodiment of the present invention, first, each candidate is selected. And a sign of the Euclidean distance squared increment of the candidate signal vector formed by the signal vector of the candidate symbol, and adding the squared increment of the Euclidean distance to the square of the cumulative Euclidean distance of the signal vector determining the candidate symbol , the cumulative Euclidean distance squared of the candidate signal vector is obtained, and the smaller the cumulative Euclidean distance square is, the closer the candidate signal vector is to the signal vector corresponding to the element corresponding to the Nth layer to the current layer in the equivalent receiving vector. It can be determined that the set candidate signal vector having the smallest cumulative Euclidean distance squared is the signal vector to be reserved. In an actual application, the third determining unit 703 is configured to occupy all the candidate symbols, determine the signal vector of the candidate symbol, and the upper triangular equivalent channel gain matrix, and determine the elements corresponding to the corresponding Nth layer to the current layer in the equivalent receiving vector. The signal vector of the composition removes the influence of the equivalent channel gain of the corresponding channel space, and the signal vector obtained by the signal vector is the closest to the set number of signal vectors, which is specifically used for:
对每个待选符号, 确定该待选符号与确定该待选符号的信号向量组成的待选信号向 量;  Determining, to each candidate symbol, a candidate signal direction composed of the candidate symbol and a signal vector determining the candidate symbol;
确定信号向量待选信号向量经过第 N层信道空间至当前信道空间传输后的信号向量中 对应当前层的符号;  Determining a symbol of the current layer in the signal vector of the signal vector candidate signal vector passing through the Nth layer channel space to the current channel space;
确定待选信号向量的欧氏距离平方增量 „— 1 +fl = - £ r^ - rH 其中 Determining the Euclidean distance squared increment of the candidate signal vector „— 1 +fl = - £ r^ - rH where
;='■+1  ;='■+1
为该层信道空间的编号, m,。为第 i层信道空间中才 居第 m个判决符号确定的第 a个待选 符号, w e {l,. ,M} , M为前一层信道空间确定的信号向量的个数, ae {l,—, } , A为 当前层信道空间设定的根据每个判决符号确定的待选符号的个数, 为确定该待选符号 的信号向量, 为等效接收向量中第 i行的元素, r 为上三角等效信道增益矩阵中第 i行 第 j列的元素, 为上三角等效信道增益矩阵中第 i行第 i列的元素; The number of the channel space for this layer, m , . For the a-th candidate symbol determined by the mth decision symbol in the i-th channel space, we {l,., M}, M is the number of signal vectors determined by the previous layer of channel space, ae {l , —, } , A is the number of candidate symbols determined according to each decision symbol set by the current layer channel space, and is a signal vector for determining the candidate symbol, which is an element of the i-th row in the equivalent receiving vector, r is an element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is an element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix;
对每个待选符号,确定累积欧氏距离平方 BM(( - l)
Figure imgf000015_0001
,其中, bm( )为在第 i+1 层信道空间确定的第 m 个信号向量的累积欧氏距离平方, BM((m - 1) ^ + «)为在第 1层信道空间的第( - 1) X + "个待选信道向量的累积欧氏距离平 方;
For each candidate symbol, determine the cumulative Euclidean distance squared BM (( - l)
Figure imgf000015_0001
, where bm( ) is the cumulative Euclidean distance squared of the mth signal vector determined in the i+1th channel space, and BM((m - 1) ^ + «) is the first in the layer 1 channel space ( - 1) X + "the cumulative Euclidean distance squared of the candidate channel vectors;
从待选信号向量中确定设定个数的累积欧氏距离平方最小的信号向量, 并将该向量对 应的累积欧氏距离平方保存在 bm中。  The signal vector with the smallest cumulative Euclidean distance square of the set number is determined from the candidate signal vector, and the cumulative Euclidean distance square corresponding to the vector is stored in bm.
较佳的, 在未编码系统中, 接收端将第一层信道空间确定的设定个数的信号向量转化 为比特输出即为检测结果。 然而在编码的系统中, 第四确定单元 704用于计算第一层信道 空间确定的设定个数的信号向量转化为比特的软比特值, 并根据该软比特值确定检测结 果, 当然, 本领域的技术人员可以釆用其他可行方式, 设定检测结果, 此处不再——叙述。  Preferably, in the uncoded system, the receiving end converts the set number of signal vectors determined by the first layer of channel space into bit outputs, that is, the detection result. However, in the coding system, the fourth determining unit 704 is configured to calculate a set number of signal vectors determined by the first layer channel space and convert the bits into soft bit values of the bits, and determine the detection result according to the soft bit values. The technicians in the field can use other feasible methods to set the test results, which are no longer described here.
较佳的, 本发明实施例提供的信号检测方法可以通过树形搜索的形式实现, 此时, 对 第 N层进行检测时确定的欧氏距离平方即为树形搜索中的分支度量值,对第 N-1至第一层 进行检测时确定的累积欧氏距离平方即为累积分支度量值, 欧氏距离平方增量即为累积分 支度量值增量, 具体的, 如图 6所示, 本发明实施例提供一种具体的信号检测的方法, 包 括: Preferably, the signal detection method provided by the embodiment of the present invention can be implemented in the form of a tree search. At this time, the square of the Euclidean distance determined when detecting the Nth layer is the branch metric value in the tree search. The cumulative Euclidean distance square determined by the N-1th to the first layer is the cumulative branch metric, and the Euclidean distance squared increment is the cumulative branch metric increment. Specifically, as shown in FIG. Embodiments of the present invention provide a specific method for signal detection, including Includes:
S601、 通过对信道矩阵进行 QR分解, 确定信道矩阵的酉矩阵及上三角等效信道增益 S601. Determine a unit matrix of the channel matrix and an upper triangular equivalent channel gain by performing QR decomposition on the channel matrix.
1,1 1,2 r\,N 1,1 1,2 r \,N
矩阵 R= ? "22 , 其中 N为信道空间的层数; Matrix R= ? "2; 2 , where N is the number of layers of channel space;
0 … 0 rNN 0 ... 0 r NN
5602、通过将接收信号向量左乘酉矩阵的转置矩阵,确定等效接收向量 y = [; ·· ]Τ , 设定输出矩阵 Χ¾Λ输出矩阵为 Ν*Μ矩阵, 在初始设定时为空矩阵, 设定 bm为 1*Μ的 向量; 5602. Determine the equivalent receiving vector y = [; ·· ] Τ by multiplying the received signal vector by the transposed matrix of the 酉 matrix, and set the output matrix Χ 3⁄4 Λ the output matrix is Ν*Μ matrix, at initial setting For an empty matrix, set a vector with bm of 1*Μ;
5603、 对于第 N层符号进行搜索, 接收端确定发送端能够在第 N层发送的符号的符 号集合, 对集合中的每个符号, 确定该符号的分支度量值 =|^_/^¾|2, 其中 ^为等 效接收向量中第 N行元素, ,Ν为上三角等效信道增益矩阵中第 N行第 N列的元素, X为 该符号, 将分值度量值作为累积分值度量值保存在 bm中; 5603. Searching for the Nth layer symbol, the receiving end determines a symbol set of the symbol that the sending end can send at the Nth layer, and determining, for each symbol in the set, a branch metric value of the symbol=|^_/^ 3⁄4 | 2 , where ^ is the Nth row element in the equivalent receiving vector, Ν is the element of the Nth row and the Nth column in the upper triangular equivalent channel gain matrix, X is the symbol, and the score metric is used as the cumulative score metric The value is saved in bm;
5604、 确定分支度量值最小的 M个符号作为发送端在第 N层发送的符号的 M个保留 符号, 将保留符号保存在输出矩阵中, 将保留符号对应的分支度量值保留在 bm中;  5604. Determine M symbols with the smallest branch metric as the M reserved symbols of the symbol sent by the sending end at the Nth layer, and save the reserved symbols in the output matrix, and keep the branch metric values corresponding to the reserved symbols in bm;
5605、 对于第 N-1层至第 1层符号进行搜索, 对输出矩阵中的 M个保留分支, 确定 M个判决符号 ,m -
Figure imgf000016_0001
, 其中 为该层信道空间的层数, r 为上三角等效 信道增益矩阵中第 i行第 j列的元素, .为上三角等效信道增益矩阵中第 i行第 i列的元素, 为输出矩阵中第 i行第 m列的元素, e {1,···, } , 为等效接收向量中第 i行的元 素;
5605. Search for the N-1th layer to the 1st layer symbol, reserve M branches in the output matrix, and determine M decision symbols, m -
Figure imgf000016_0001
Where is the number of layers in the channel space of the layer, r is the element of the i-th row and the j-th column in the upper triangular equivalent channel gain matrix, and is the element of the i-th row and the i-th column in the upper triangular equivalent channel gain matrix, The element of the i-th row and the m-th column in the output matrix, e {1,···, } , is the element of the i-th row in the equivalent receiving vector;
5606、 确定发送端能够在该层发送的所有符号的集合;  S606, determining a set of all symbols that the sender can send at the layer;
5607、 对每个判决符号, 才 居区域与符号的映射关系确定集合中与判决量欧氏距离平 方最小的 A个符号, 作为发送端在该层发送的符号的 A个待选符号;  5607. For each of the decision symbols, the mapping relationship between the area and the symbol determines the A symbols in the set that are the smallest squared with the Euclidean distance of the decision, and are the A candidate symbols of the symbols sent by the transmitting end at the layer;
选符号及每个待选符号对应的保留分支确定 M* A个分支度量值 增量 ^¾- ., ι2, 其中, 其中 为该层信道空间的层数, 为等
Figure imgf000016_0002
The selected symbol and the reserved branch corresponding to each candidate symbol determine M* A branch metric increments ^3⁄4-., ι 2 , where, the number of layers of the layer channel space, etc.
Figure imgf000016_0002
效接收向量中第 i行的元素, r 为上三角等效信道增益矩阵中第 i行第 j列的元素, riJ为 上三角等效信道增益矩阵中第 i行第 i列的元素, 为输出矩阵中第 i行第 m列的元素, we{l,---, } , m,。为第 i 层信道中根据第 m 个判决量确定的第 a 个待选可能值, The element of the i-th row in the received vector, r is the element of the i-th row and the j-th column of the upper triangular equivalent channel gain matrix, and riJ is the element of the i-th row and the i-th column of the upper triangular equivalent channel gain matrix, which is an output The element of the mth column of the i-th row in the matrix, we{l,---, }, m ,. The a-th candidate to be selected according to the mth decision amount in the i-th channel,
S609、 根据 M*A 个分支度量值增量确定 M*A 个累 积分支度量值 BM((m -ΐ)χΑ + α) = bm(m) + d m_l)xA+a ,其中, bm( )为在第 i+1层信道确定的第 m个分支的 累积分支度量值, BM((
Figure imgf000016_0003
+ «)为在第 1层信道空间的第( - 1) X + "个待选信道向量 的累积欧氏距离平方;
S609. Determine, according to the M*A branch metric increments, M*A cumulative branch metrics BM((m - ΐ) χΑ + α) = bm(m) + d m _ l)xA+a , where bm ( ) is the cumulative branch metric of the mth branch determined on the i+1th channel, BM((
Figure imgf000016_0003
+ «) is the ( - 1) X + "selected channel vector in the layer 1 channel space Cumulative Euclidean distance squared;
5610、确定 M个最小的累积分支度量值, 并确定其对应的分支, 将其对应的分支作为 待选保留分支, 存入输出矩阵, 将保留分支对应的累积分支度量值存入 bm;  5610. Determine M minimum cumulative branch metric values, and determine corresponding branches, and use the corresponding branch as a reserved branch to be stored in the output matrix, and store the cumulative branch metric corresponding to the reserved branch into bm;
5611、 根据在第 1层信道空间确定的 M个保留分支, 确定信号检测结果。  5611. Determine a signal detection result according to the M reserved branches determined in the layer 1 channel space.
本发明实施例提供了一种信号检测方法及装置,在对通过 N层空间复用传输系统接收 的的信号进行检测的过程中, 对 N-1层至 1层进行检测时, 首先确定该层信道空间接收的 符号去除最近一次确定的信号向量对其的千扰及该层信道空间的等效信道增益的影响后 的判决符号, 进而确定与这些判决符号最相近的待选符号, 再确定根据这些待选符号确定 的信号向量中, 哪些与当前信道空间接收到的信号向量去除相应信道空间的等效信道增益 的影响后得到的信号向量最相近, 即可确定出该层的保留信号向量, 因此, 仅需要对根据 判决符号确定的待选符号进行筛选, 不需要对该层的所有可能符号进行筛选, 降低了信号 检测的复杂度。  Embodiments of the present invention provide a signal detecting method and apparatus. When detecting a signal received by an N-layer spatial multiplexing transmission system, when detecting the N-1 layer to the first layer, the layer is first determined. The symbol received by the channel space removes the decision symbol of the interference of the most recently determined signal vector and the equivalent channel gain of the channel space of the layer, and further determines the candidate symbol closest to the decision symbols, and then determines the basis Which of the signal vectors determined by the candidate symbols are closest to the signal vector obtained by removing the equivalent channel gain of the corresponding channel space from the signal vector received by the current channel space, and the reserved signal vector of the layer can be determined. Therefore, only the candidate symbols determined according to the decision symbols need to be filtered, and it is not necessary to filter all possible symbols of the layer, which reduces the complexity of signal detection.
本领域内的技术人员应明白, 本发明的实施例可提供为方法、 系统、 或计算机程序产 品。 因此, 本发明可釆用完全硬件实施例、 完全软件实施例、 或结合软件和硬件方面的实 施例的形式。 而且, 本发明可釆用在一个或多个其中包含有计算机可用程序代码的计算机 可用存储介盾 (包括但不限于磁盘存储器、 CD-ROM、 光学存储器等)上实施的计算机程 序产品的形式。  Those skilled in the art will appreciate that embodiments of the present invention can be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or a combination of software and hardware. Moreover, the present invention can be embodied in the form of a computer program product embodied on one or more computer-usable storage interfaces (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer usable program code.
本发明是参照根据本发明实施例的方法、 设备(系统)、 和计算机程序产品的流程图 和 /或方框图来描述的。 应理解可由计算机程序指令实现流程图和 /或方框图中的每一流 程和 /或方框、 以及流程图和 /或方框图中的流程和 /或方框的结合。 可提供这些计算机 程序指令到通用计算机、 专用计算机、 嵌入式处理机或其他可编程数据处理设备的处理器 以产生一个机器, 使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用 于实现在流程图一个流程或多个流程和 /或方框图一个方框或多个方框中指定的功能的 装置。  The present invention has been described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (system), and computer program products according to embodiments of the invention. It will be understood that each process and/or block of the flowchart illustrations and/or FIG. These computer program instructions can be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing device to produce a machine for the execution of instructions for execution by a processor of a computer or other programmable data processing device. Means for implementing the functions specified in one or more of the flow or in a block or blocks of the flow chart.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方 式工作的计算机可读存储器中, 使得存储在该计算机可读存储器中的指令产生包括指令装 置的制造品, 该指令装置实现在流程图一个流程或多个流程和 /或方框图一个方框或多个 方框中指定的功能。  The computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing device to operate in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture comprising the instruction device. The apparatus implements the functions specified in one or more blocks of a flow or a flow and/or block diagram of the flowchart.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上, 使得在计算机 或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理, 从而在计算机或其他 可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和 /或方框图一个 方框或多个方框中指定的功能的步骤。  These computer program instructions can also be loaded onto a computer or other programmable data processing device such that a series of operational steps are performed on a computer or other programmable device to produce computer-implemented processing for execution on a computer or other programmable device. The instructions provide steps for implementing the functions specified in one or more of the flow or in a block or blocks of a flow diagram.
尽管已描述了本发明的优选实施例, 但本领域内的技术人员一旦得知了基本创造性概 念, 则可对这些实施例作出另外的变更和修改。 所以, 所附权利要求意欲解释为包括优选 实施例以及落入本发明范围的所有变更和修改。 Although a preferred embodiment of the present invention has been described, one of ordinary skill in the art will be aware of the basic inventive Additional changes and modifications may be made to these embodiments. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and the modifications and
显然, 本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和 范围。这样,倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内, 则本发明也意图包含这些改动和变型在内。  It is apparent that those skilled in the art can make various modifications and variations to the invention without departing from the spirit and scope of the invention. Thus, it is intended that the present invention cover the modifications and modifications of the invention

Claims

权 利 要 求 Rights request
1、 一种信号检测方法, 其特征在于, 包括: 1. A signal detection method, characterized by including:
接收端根据通过 N层空间复用传输系统接收的信号序列以及通过信道矩阵 QR分解得 到的酉矩阵, 确定等效接收向量; The receiving end determines the equivalent reception vector based on the signal sequence received through the N-layer spatial multiplexing transmission system and the unitary matrix obtained through the QR decomposition of the channel matrix;
接收端在第 N层信道空间对应的符号中, 根据通过信道矩阵 QR分解得到的上三角等 效信道增益矩阵, 确定与所述等效接收向量中对应该层的元素去除该层信道空间的等效信 道增益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号作为一个信号 向量; In the symbol corresponding to the Nth layer channel space, the receiving end determines, based on the upper triangular equivalent channel gain matrix obtained through the QR decomposition of the channel matrix, the element corresponding to the layer in the equivalent reception vector, excluding the channel space of the layer. The set number of symbols that are closest to the symbols obtained after the influence of the effective channel gain, and each determined symbol is regarded as a signal vector;
对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接收端对最近一次确定 的每个信号向量, 居所述上三角等效信道增益矩阵确定所述等效接收向量中对应该层的 元素去除该信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决符号, 对 每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的待选符号, 并 根据所有待选符号、 确定所述待选符号的信号向量及所述上三角等效信道增益矩阵, 确定 出与由所述等效接收向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间 的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向量; For each layer of channel space from the N-1th layer channel space to the 1st layer channel space, the receiving end determines the equivalent reception based on the upper triangular equivalent channel gain matrix for each signal vector most recently determined. The element in the vector corresponding to the layer is the decision symbol after removing the interference of the signal vector and the equivalent channel gain of the channel space of the layer. For each decision symbol, the setting is determined in the symbol corresponding to the channel space of the layer. A certain number of candidate symbols that are closest to it, and based on all candidate symbols, the signal vector of the candidate symbol and the upper triangular equivalent channel gain matrix, determine the equivalent receive vector The signal vector composed of elements corresponding to the Nth layer to the current layer is the closest set number of signal vectors to the signal vector obtained after removing the influence of the equivalent channel gain of the corresponding channel space;
根据在第 1层信道空间确定的信号向量, 确定信号检测结果。 The signal detection result is determined based on the signal vector determined in the layer 1 channel space.
2、 如权利要求 1 所述的方法, 其特征在于, 每一层信道空间确定的信号向量个数相 同。 2. The method according to claim 1, characterized in that the number of signal vectors determined in each layer of channel space is the same.
3、 如权利要求 1 所述的方法, 其特征在于, 所述与所述等效接收向量中对应该层的 元素去除该层信道空间的等效信道增益的影响后得到的符号最相近的设定个数的符号, 具 体包括: 3. The method according to claim 1, characterized in that, the symbol most similar to the element in the equivalent reception vector corresponding to the layer is obtained by removing the influence of the equivalent channel gain of the channel space of the layer. A certain number of symbols, including:
与所述等效接收向量中对应该层的元素去除该层信道空间的等效信道增益的影响后 得到的符号欧氏距离平方最小的设定个数的符号; The set number of symbols with the minimum squared Euclidean distance between the symbols obtained by removing the influence of the equivalent channel gain of the channel space of the layer from the elements corresponding to the layer in the equivalent receive vector;
所述对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的 待选符号, 具体包括: For each decision symbol, a set number of candidate symbols closest to it are determined among the symbols corresponding to the channel space of the layer, specifically including:
对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其欧氏距离平方 最小的待选符号; For each decision symbol, a set number of candidate symbols with the smallest squared Euclidean distance between the symbols corresponding to the channel space of the layer are determined;
所述确定出与由所述等效接收向量中对应第 N层至当前层的元素组成的信号向量去除 相应信道空间的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向量, 具 体包括: Determining the set number that is closest to the signal vector obtained by removing the influence of the equivalent channel gain of the corresponding channel space from the signal vector composed of the elements corresponding to the Nth layer to the current layer in the equivalent receive vector. Signal vector, specifically including:
从由待选符号与确定该待选符号的信号向量组成的待选信号向量中, 确定设定个数的 信号向量,该设定个数的信号向量通过第 N层至当前层的信道空间传输后得到的信号向量 与所述等效接收向量中对应第 N层至当前层的元素组成的信号向量的累积欧氏距离平方最 小, 所述累积欧氏距离平方具体为两个信号向量的每一个对应符号之间的欧氏距离平方的 和。 Determine a set number of signal vectors from the candidate signal vectors composed of the candidate symbols and the signal vectors that determine the candidate symbols, and the set number of signal vectors are transmitted through the channel space from the Nth layer to the current layer The squared cumulative Euclidean distance between the signal vector obtained and the signal vector composed of elements corresponding to the Nth layer to the current layer in the equivalent receiving vector is the most Small, the cumulative squared Euclidean distance is specifically the sum of the squared Euclidean distances between each corresponding symbol of the two signal vectors.
4、 如权利要求 1所述的方法, 其特征在于, 所述接收端在第 Ν层信道空间对应的符 号中, 确定所述等效接收向量在该层的符号去除该层信道空间的等效信道增益的影响后的 符号最相近的设定个数的符号, 具体包括: 4. The method according to claim 1, characterized in that, in the symbols corresponding to the Nth layer channel space, the receiving end determines the equivalent reception vector in the symbol of the layer minus the equivalent value of the layer channel space. The set number of symbols closest to the symbols affected by the channel gain, specifically including:
所述接收端对该层信道空间对应的符号中的每个符号, 确定该符号与所述等效接收向 量中对应该层的元素去除该层信道空间的等效信道增益的影响后得到的符号的欧氏距离 平方4,¥ =1 ^ - ^ 12 , 其中 ^为所述等效接收向量中第 Ν行元素, ^为所述上三角等 效信道增益矩阵中第 Ν行第 Ν列的元素, xq为该符号; The receiving end determines, for each symbol among the symbols corresponding to the channel space of the layer, the symbol obtained by removing the influence of the equivalent channel gain of the channel space of the layer from the symbol and the element corresponding to the layer in the equivalent reception vector. The squared Euclidean distance 4, ¥ =1 ^ - ^ 1 2 , where ^ is the Nth row element in the equivalent reception vector, ^ is the Nth row and Nth column in the upper triangular equivalent channel gain matrix Element, x q is the symbol;
确定欧氏距离平方 最小的设定个数的符号。 Determine the minimum set number of symbols for the squared Euclidean distance.
5、 如权利要求 1 所述的方法, 其特征在于, 所述接收端对最近一次确定的每个信号 向量, 居所述上三角等效信道增益矩阵确定所述等效接收向量中对应该层的元素去除该 信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决符号, 包括: 5. The method according to claim 1, characterized in that, for each signal vector most recently determined, the receiving end uses the upper triangular equivalent channel gain matrix to determine the corresponding layer in the equivalent reception vector. The elements of the decision symbol after removing the interference of the signal vector and the equivalent channel gain of the layer channel space include:
对最近一次确定的每个信号向量, 确定该信号向量的判决符号为: For each signal vector that was last determined, the decision symbol for determining the signal vector is:
. m = ( . - r j m) lr i , 其中 为该层信道空间的编号, e {l, . ,M} , M为最近一 . m = ( . - r jm ) lr i , where is the number of the channel space of this layer, e {l, . ,M}, M is the latest
' =w ' ' ' ' =w ' ' '
次确定的信号向量的个数, r 为所述上三角等效信道增益矩阵中第 i行第 j列的元素, .为 所述上三角等效信道增益矩阵中第 i行第 i列的元素, XLm为第 m个信道向量中的第 j行 的符号, .为所述等效接收向量中第 i行的元素。 The number of signal vectors determined at this time, r is the element in the i-th row and j-th column in the upper triangular equivalent channel gain matrix, . is the element in the i-th row and i-th column in the upper triangular equivalent channel gain matrix , X Lm is the symbol of the j-th row in the m-th channel vector, . is the element of the i-th row in the equivalent reception vector.
6、 如权利要求 1 所述的方法, 其特征在于, 所述对每个判决符号均在该层信道空间 对应的符号中确定设定个数的与其最相近的待选符号, 具体包括: 6. The method according to claim 1, characterized in that, for each decision symbol, a set number of candidate symbols closest to it are determined in the symbols corresponding to the channel space of the layer, specifically including:
对每个判决符号, 确定该判决符号在星座图上所属的区域, 并才 居区域与该层信道空 间对应的符号的映射关系, 确定该区域对应的符号为待选符号, 所述区域与该层信道空间 对应的符号的映射关系具体为, 确定该层信道空间对应的符号的星座点, 及为每组两两之 间平面距离最近的设定个数的星座点确定该组星座点的对应区域后, 确定的每组星座点对 应的符号与该组星座点的对应区域间的映射关系, 所述对应区域中的任一星座点与该组星 座点的平面距离的和小于与其它组星座点的平面距离的和。 For each decision symbol, the area to which the decision symbol belongs on the constellation diagram is determined, and the mapping relationship between the area and the symbol corresponding to the channel space of the layer is determined, and the symbol corresponding to the area is determined to be the candidate symbol, and the area and the corresponding symbol are determined The mapping relationship of the symbols corresponding to the layer channel space is specifically: determining the constellation points of the symbols corresponding to the layer channel space, and determining the correspondence of the group of constellation points for the set number of constellation points with the shortest plane distance between each group. After the area is determined, the mapping relationship between the symbols corresponding to each group of constellation points and the corresponding area of the group of constellation points is determined. The sum of the plane distances of any constellation point in the corresponding area and the group of constellation points is less than the sum of the plane distances of any constellation point in the corresponding area and the group of constellation points. The sum of the plane distances of points.
7、 如权利要求 3 所述的方法, 其特征在于, 所述根据所有待选符号、 确定所述待选 符号的信号向量及所述上三角等效信道增益矩阵, 确定出与由所述等效接收向量中对应第 N层至当前层的元素组成的信号向量去除相应信道空间的等效信道增益的影响后得到的信 号向量最相近的设定个数的信号向量, 具体包括: 7. The method according to claim 3, characterized in that, based on all the candidate symbols, the signal vectors of the candidate symbols and the upper triangular equivalent channel gain matrix, determining and The signal vector consisting of the elements corresponding to the Nth layer to the current layer in the effective reception vector is the signal vector obtained by removing the influence of the equivalent channel gain of the corresponding channel space and the closest set number of signal vectors, specifically including:
对每个待选符号, 确定该待选符号与确定该待选符号的信号向量组成的待选信号向 量; 确定所述待选信号向量经过第 N层信道空间至当前信道空间传输后的信号向量中对应 当前层的符号; For each candidate symbol, determine the candidate signal vector consisting of the candidate symbol and the signal vector that determines the candidate symbol; Determine the symbol corresponding to the current layer in the signal vector after the signal vector to be selected is transmitted through the Nth layer channel space to the current channel space;
确定所述待选信号向量的欧氏距离平方增量 ^)^。 ^- £ rJX^m-ri xm ,其 Determine the squared Euclidean distance increment of the candidate signal vector^)^. ^- £ r J X^ m - ri x m ,its
;='■+1 ;='■+1
中, 为该层信道空间的编号, m,。为第 i层信道空间中才 居第 m个判决符号确定的第 a 个待选符号, we {l,. ,M} , M为前一层信道空间确定的信号向量的个数, αε {1,···, } , Α为当前层信道空间设定的根据每个判决符号确定的待选符号的个数, 所述:^ 为确定该 待选符号的信号向量, .为所述等效接收向量中第 i行的元素, r 为所述上三角等效信道 增益矩阵中第 i行第 j列的元素, riJ为所述上三角等效信道增益矩阵中第 i行第 i列的元素; 对每个待选符号,确定累积欧氏距离平方 BM(( - l)x +
Figure imgf000021_0001
,其中, bm( )为在第 i+1 层信道空间确定的第 m 个信号向量的累积欧氏距离平方, BM((m -1) ^ + «)为在第 1层信道空间的第( - 1) X + "个待选信道向量的累积欧氏距离平 方;
Among them, is the number of the channel space of this layer, m . is the a-th candidate symbol determined by the m-th decision symbol in the i-th layer channel space, we {l,.,M}, M is the number of signal vectors determined by the previous layer channel space, αε {1 ,... The element in the i-th row in the received vector, r is the element in the i-th row and j-th column in the upper triangular equivalent channel gain matrix, riJ is the element in the i-th row and i-th column in the upper triangular equivalent channel gain matrix ; For each candidate symbol, determine the cumulative Euclidean distance squared BM(( - l)x +
Figure imgf000021_0001
, where bm( ) is the cumulative Euclidean distance square of the m-th signal vector determined in the i+1th layer channel space, BM((m -1) ^ + «) is the ((m -1) ^ + «) in the first-layer channel space - 1) The cumulative Euclidean distance square of X + " candidate channel vectors;
从所述待选信号向量中, 确定设定个数的累积欧氏距离平方最小的信号向量。 From the candidate signal vectors, a signal vector with the smallest cumulative Euclidean distance square of a set number is determined.
8、 一种信号检测装置, 其特征在于, 包括: 8. A signal detection device, characterized in that it includes:
第一确定单元,用于根据通过 N层空间复用传输系统接收的信号序列以及通过信道矩 阵 QR分解得到的酉矩阵, 确定等效接收向量; The first determination unit is used to determine the equivalent reception vector based on the signal sequence received through the N-layer spatial multiplexing transmission system and the unitary matrix obtained through the channel matrix QR decomposition;
第二确定单元, 用于在第 N层信道空间对应的符号中, 居通过信道矩阵 QR分解得 到的上三角等效信道增益矩阵, 确定与所述等效接收向量中对应该层的元素去除该层信道 空间的等效信道增益的影响后得到的符号最相近的设定个数的符号, 并将确定的每个符号 作为一个信号向量; The second determination unit is used to determine, in the symbol corresponding to the Nth layer channel space, the upper triangular equivalent channel gain matrix obtained by decomposing the channel matrix QR with the element corresponding to the layer in the equivalent reception vector, excluding the After the influence of the equivalent channel gain of the layer channel space, the closest set number of symbols is obtained, and each determined symbol is regarded as a signal vector;
第三确定单元, 用于对第 N-1层信道空间至第 1层信道空间中的每一层信道空间, 接 收端对最近一次确定的每个信号向量, 居所述上三角等效信道增益矩阵确定所述等效接 收向量中对应该层的元素去除该信号向量对其的千扰及该层信道空间的等效信道增益的 影响后的判决符号, 对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其 最相近的待选符号, 并根据所有待选符号、 确定所述待选符号的信号向量及所述上三角等 效信道增益矩阵,确定出与由所述等效接收向量中对应第 N层至当前层的元素组成的信号 向量去除相应信道空间的等效信道增益的影响后得到的信号向量最相近的设定个数的信 号向量; The third determination unit is used to determine, for each layer of channel space from the N-1th layer channel space to the first layer channel space, the receiving end determines the upper triangle equivalent channel gain for each signal vector most recently determined. The matrix determines the decision symbol after removing the interference of the signal vector and the equivalent channel gain of the channel space of the layer from the element corresponding to the layer in the equivalent received vector. For each decision symbol, the signal vector is in the channel of the layer. Determine a set number of candidate symbols that are closest to them among the symbols corresponding to the space, and based on all the candidate symbols, the signal vectors of the candidate symbols and the upper triangular equivalent channel gain matrix, determine the equation with The set number of signal vectors closest to the signal vector obtained by removing the influence of the equivalent channel gain of the corresponding channel space from the signal vector composed of elements corresponding to the Nth layer to the current layer in the equivalent reception vector;
第四确定单元, 用于根据在第 1层信道空间确定的信号向量, 确定信号检测结果。 The fourth determination unit is used to determine the signal detection result based on the signal vector determined in the first layer channel space.
9、 如权利要求 8 所述的装置, 其特征在于, 每一层信道空间确定的信号向量个数相 同。 9. The device according to claim 8, characterized in that the number of signal vectors determined in each layer of channel space is the same.
10、 如权利要求 8所述的装置, 其特征在于, 所述与所述等效接收向量在该层的符号 去除该层信道空间的等效信道增益的影响后得到的符号最相近的设定个数的符号, 具体包 括: 10. The device according to claim 8, characterized in that: the symbol of the equivalent receive vector in the layer The set number of symbols with the closest symbols obtained after removing the influence of the equivalent channel gain in the channel space of this layer, specifically includes:
与所述等效接收向量中对应该层的元素去除该层信道空间的等效信道增益的影响后 得到的符号欧氏距离平方最小的设定个数的符号; The set number of symbols with the minimum squared Euclidean distance between the symbols obtained by removing the influence of the equivalent channel gain of the channel space of the layer from the elements corresponding to the layer in the equivalent receive vector;
所述对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其最相近的 待选符号, 具体包括: For each decision symbol, a set number of candidate symbols closest to it are determined among the symbols corresponding to the channel space of the layer, specifically including:
对每个判决符号均在该层信道空间对应的符号中确定设定个数的与其欧氏距离平方 最小的待选符号; For each decision symbol, a set number of candidate symbols with the smallest squared Euclidean distance between the symbols corresponding to the channel space of the layer are determined;
所述确定出与由所述等效接收向量的第 N层至当前层的符号组成的信号向量去除相应 信道空间的等效信道增益的影响后得到的信号向量最相近的设定个数的信号向量, 具体包 括: Determine the set number of signals that are closest to the signal vector composed of the symbols from the Nth layer to the current layer of the equivalent reception vector, removing the influence of the equivalent channel gain of the corresponding channel space. Vector, specifically including:
从由待选符号与确定该待选符号的信号向量组成的待选信号向量中, 确定设定个数的 信号向量,该设定个数的信号向量通过第 N层至当前层的信道空间传输后得到的信号向量 与所述等效接收向量中对应第 N层至当前层的元素组成的信号向量的累积欧氏距离平方最 小, 所述累积欧氏距离平方具体为两个信号向量的每一个对应符号之间的欧氏距离平方的 和。 Determine a set number of signal vectors from the candidate signal vectors composed of the candidate symbols and the signal vectors that determine the candidate symbols, and the set number of signal vectors are transmitted through the channel space from the Nth layer to the current layer The cumulative Euclidean distance square between the signal vector obtained and the signal vector consisting of elements from the Nth layer to the current layer in the equivalent received vector is the smallest. The cumulative Euclidean distance square is specifically for each of the two signal vectors. The sum of squared Euclidean distances between corresponding symbols.
11、 如权利要求 8所述的装置, 其特征在于, 所述第二确定单元在第 N层信道空间对 应的符号中, 确定所述等效接收向量在该层的符号去除该层信道空间的等效信道增益的影 响后的符号最相近的设定个数的符号, 具体用于: 11. The apparatus according to claim 8, wherein the second determination unit determines, in the symbols corresponding to the Nth layer channel space, the equivalent reception vector in the symbol of the layer minus the symbol of the layer channel space. The set number of symbols closest to the symbols affected by the equivalent channel gain, specifically used for:
所述接收端对该层信道空间对应的符号中的每个符号, 确定该符号与所述等效接收向 量中对应该层的元素去除该层信道空间的等效信道增益的影响后得到的符号的欧氏距离 平方4,¥ =1 ^ - ^ 12 , 其中 ^为所述等效接收向量中第 N行元素, ^为所述上三角等 效信道增益矩阵中第 N行第 N列的元素, xq为该符号; The receiving end determines, for each symbol among the symbols corresponding to the channel space of the layer, the symbol obtained by removing the influence of the equivalent channel gain of the channel space of the layer from the symbol and the element corresponding to the layer in the equivalent reception vector. The squared Euclidean distance 4, ¥ =1 ^ - ^ 1 2 , where ^ is the Nth row element in the equivalent reception vector, ^ is the Nth row and Nth column in the upper triangular equivalent channel gain matrix Element, x q is the symbol;
确定欧氏距离平方 最小的设定个数的符号。 Determine the minimum set number of symbols with the squared Euclidean distance.
12、 如权利要求 8所述的装置, 其特征在于, 所述第三确定单元对最近一次确定的每 个信号向量, 居所述上三角等效信道增益矩阵确定所述等效接收向量在该层的符号去除 该信号向量对其的千扰及该层信道空间的等效信道增益的影响后的判决符号, 具体用于: 对最近一次确定的每个信号向量, 确定该信号向量的判决符号为: 12. The device according to claim 8, characterized in that, for each signal vector most recently determined, the third determination unit determines, based on the upper triangular equivalent channel gain matrix, the equivalent receive vector at the The symbol of the layer is the decision symbol after removing the influence of the signal vector on it and the equivalent channel gain of the channel space of the layer. It is specifically used to: for each signal vector recently determined, determine the decision symbol of the signal vector. for:
xi m = (yi - r j m) lr i , 其中 为该层信道空间的编号, e {l, . ,M} , M为最近一 次确定的信号向量的个数, r 为所述上三角等效信道增益矩阵中第 i行第 j列的元素, .为 所述上三角等效信道增益矩阵中第 i行第 i列的元素, Xj,m为第 m个信道序列中的第 j行 的符号, .为所述等效接收向量中第 i行的元素。 x im = ( yi - r jm ) lr i , where is the number of the channel space of this layer, e {l, . ,M} , M is the number of the most recently determined signal vectors, r is the upper triangular equivalent The element in the i-th row and j-th column in the channel gain matrix, . is the element in the i-th row and i-th column in the upper triangular equivalent channel gain matrix, Xj, m is the symbol of the j-th row in the m-th channel sequence , . is the element of the i-th row in the equivalent reception vector.
13、 如权利要求 8所述的装置, 其特征在于, 所述第三确定单元对每个判决符号均在 该层信道空间对应的符号中确定设定个数的与其最相近的待选符号, 具体用于: 13. The device according to claim 8, characterized in that, for each decision symbol, the third determination unit determines a set number of candidate symbols that are closest to it among the symbols corresponding to the channel space of the layer, Specifically used for:
对每个判决符号, 确定该判决符号在星座图上所属的区域, 并才 居区域与该层信道空 间对应的符号的映射关系, 确定该区域对应的符号为待选符号, 所述区域与该层信道空间 对应的符号的映射关系具体为, 确定该层信道空间对应的符号的星座点, 及为每组两两之 间平面距离最近的设定个数的星座点确定该组星座点的对应区域后, 确定的每组星座点对 应的符号与该组星座点的对应区域间的映射关系, 所述对应区域中的任一星座点与该组星 座点的平面距离的和小于与其它组星座点的平面距离的和。 For each decision symbol, the area to which the decision symbol belongs on the constellation diagram is determined, and the mapping relationship between the area and the symbol corresponding to the channel space of the layer is determined, and the symbol corresponding to the area is determined to be the candidate symbol, and the area and the corresponding symbol are determined The mapping relationship of the symbols corresponding to the layer channel space is specifically: determining the constellation points of the symbols corresponding to the layer channel space, and determining the correspondence of the group of constellation points for the set number of constellation points with the shortest plane distance between each group. After the area is determined, the mapping relationship between the symbols corresponding to each group of constellation points and the corresponding area of the group of constellation points is determined. The sum of the plane distances of any constellation point in the corresponding area and the group of constellation points is less than the sum of the plane distances of any constellation point in the corresponding area and the group of constellation points. The sum of the plane distances of points.
14、 如权利要求 10所述的装置, 其特征在于, 所述第三确定单元根据所有待选符号、 确定所述待选符号的信号向量及所述上三角等效信道增益矩阵, 确定出与由所述等效接收 向量的第 N层至当前层的符号组成的信号向量去除相应信道空间的等效信道增益的影响后 得到的信号向量最相近的设定个数的信号向量, 具体用于: 14. The apparatus according to claim 10, wherein the third determination unit determines and The signal vector composed of the symbols from the Nth layer to the current layer of the equivalent reception vector removes the influence of the equivalent channel gain of the corresponding channel space and is the closest set number of signal vectors to the signal vector, specifically used for :
对每个待选符号, 确定该待选符号与确定该待选符号的信号向量组成的待选信号向 量; For each candidate symbol, determine the candidate signal vector consisting of the candidate symbol and the signal vector that determines the candidate symbol;
确定所述待选信号向量经过第 N层信道空间至当前信道空间传输后的信号向量中对应 当前层的符号; Determine the symbol corresponding to the current layer in the signal vector after the signal vector to be selected is transmitted through the Nth layer channel space to the current channel space;
确定所述待选信号向量的欧氏距离平方增量 ^)^。 ^- £ rJX^m-ri xm ,其 Determine the squared Euclidean distance increment of the candidate signal vector^)^. ^- £ r J X^ m - ri x m ,its
;='■+1 ;='■+1
中, 为该层信道空间的编号, m,。为第 i层信道空间中才 居第 m个判决符号确定的第 a 个待选符号, we{l,. ,M} , M为前一层信道空间确定的信号向量的个数, αε {1,···, } , Α为当前层信道空间设定的根据每个判决符号确定的待选符号的个数, 所述:^ 为确定该 待选符号的信号向量, .为所述等效接收向量中第 i行的元素, r 为所述上三角等效信道 增益矩阵中第 i行第 j列的元素, riJ为所述上三角等效信道增益矩阵中第 i行第 i列的元素; 对每个待选符号,确定累积欧氏距离平方 BM(( - l)
Figure imgf000023_0001
,其中, bm( )为在第 i+1 层信道空间确定的第 m 个信号向量的累积欧氏距离平方, BM((m -1) ^ + «)为在第 1层信道空间的第( - 1) x + "个待选信道向量的累积欧氏距离平 方;
Among them, is the number of the channel space of this layer, m . is the a-th candidate symbol determined by the m-th decision symbol in the i-th layer channel space, we{l,.,M}, M is the number of signal vectors determined by the previous layer channel space, αε {1 ,... The element in the i-th row in the received vector, r is the element in the i-th row and j-th column in the upper triangular equivalent channel gain matrix, riJ is the element in the i-th row and i-th column in the upper triangular equivalent channel gain matrix ; For each candidate symbol, determine the cumulative Euclidean distance squared BM(( - l)
Figure imgf000023_0001
, where bm( ) is the cumulative Euclidean distance square of the m-th signal vector determined in the i+1th layer channel space, BM((m -1) ^ + «) is the ((m -1) ^ + «) in the first-layer channel space - 1) The cumulative Euclidean distance square of x + "candidate channel vectors;
从所述待选信号向量中, 确定设定个数的累积欧氏距离平方最小的信号向量。 From the candidate signal vectors, a signal vector with the smallest cumulative Euclidean distance square of a set number is determined.
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