CN111526105A - Subcarrier interference compensation method and device for high-spectrum-efficiency frequency division multiplexing system - Google Patents

Subcarrier interference compensation method and device for high-spectrum-efficiency frequency division multiplexing system Download PDF

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CN111526105A
CN111526105A CN202010309026.XA CN202010309026A CN111526105A CN 111526105 A CN111526105 A CN 111526105A CN 202010309026 A CN202010309026 A CN 202010309026A CN 111526105 A CN111526105 A CN 111526105A
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罗风光
倪垚
杨柳
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Huazhong University of Science and Technology
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Abstract

The invention discloses a subcarrier interference compensation method and a subcarrier interference compensation device of a high-spectrum-efficiency frequency division multiplexing system, wherein the method comprises the steps of carrying out serial-parallel conversion on a received high-spectrum-efficiency frequency division multiplexing system signal to obtain a signal to be compensated; carrying out an iterative algorithm on the signal to be compensated, and obtaining an estimated value signal after n iterations; and determining the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimation value signal, searching all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and traversing by using an improved spherical algorithm for changing the search direction to obtain the real value of the sent high-spectrum-efficiency spectrum multiplexing system signal so as to complete subcarrier interference compensation. The invention reduces partial data nodes in the process of improving the spherical algorithm, ensures good demodulation of signals, improves the system performance under a certain bit error rate BER, and greatly reduces the complexity of the system.

Description

Subcarrier interference compensation method and device for high-spectrum-efficiency frequency division multiplexing system
Technical Field
The present invention belongs to the field of optical communication, and more particularly, to a subcarrier interference compensation method and apparatus for a high spectral efficiency frequency division multiplexing system.
Background
The spectrum efficiency in the field of optical communication is always a focus of attention of researchers, and a high spectrum efficiency Multiplexing (high spectrum efficiency Frequency Division Multiplexing) system breaks the orthogonality of an OFDM (Orthogonal Frequency Division Multiplexing) system, so that the interval between subcarriers is reduced, and the spectrum efficiency of the system is greatly improved. However, due to the lack of orthogonality of subcarriers in the high-spectrum-efficiency frequency division multiplexing system, the signals have serious inter-subcarrier interference, and the receiving end is difficult to recover the original signals, so that the problem that the inter-subcarrier interference of the high-spectrum-efficiency frequency division multiplexing signals is urgently needed to be processed by the high-spectrum-efficiency frequency division multiplexing system is solved.
Although the existing linear algorithms such as an iterative algorithm, a zero forcing detection algorithm, a singular value decomposition rank reduction algorithm and the like have lower algorithm complexity, the existing linear algorithms are sensitive to system noise, so that the original signals are difficult to recover when received signals process subcarrier interference; while algorithms such as maximum likelihood estimation can recover the original signal to the maximum extent, the complex demodulation process makes it difficult to apply in the actual communication system. Therefore, a high-performance and low-complexity subcarrier interference compensation algorithm is one of the key technologies of the high-spectrum-efficiency frequency division multiplexing system.
Disclosure of Invention
The present invention provides a method and an apparatus for compensating subcarrier interference in a high spectrum efficiency frequency division multiplexing system, aiming at solving the problem of inter-subcarrier interference in the high spectrum efficiency frequency division multiplexing system.
To achieve the above object, according to an aspect of the present invention, there is provided a subcarrier interference compensation method for a high spectral efficiency frequency division multiplexing system, comprising the steps of:
performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated;
carrying out an iterative algorithm on the signal to be compensated, and obtaining an estimated value signal after n iterations;
and determining a search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimation value signal, searching all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and traversing by using an improved spherical algorithm for changing the search direction to obtain a real value of the sent high-spectrum-efficiency spectrum multiplexing system signal so as to complete subcarrier interference compensation.
Further, the formula of the iterative operation is:
Figure BDA0002456945270000024
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000025
the signal matrix of the high-spectrum-efficiency spectrum multiplexing system after n iterations is used as input data of an improved sphere algorithm,
Figure BDA0002456945270000023
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is an identity matrix, lambda is a convergence factor, and C is an interference matrix.
Further, the search radius g of the transmitted high spectral efficiency spectrum multiplexing system signal is:
Figure BDA0002456945270000021
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000022
the signal matrix of the high-spectrum-efficiency frequency spectrum multiplexing system after n-1 iterations is used, and C is an interference matrix.
Further, the error of the values of all possible transmitted high spectral efficiency spectrally multiplexed system signals is represented by a matrix Q as:
Q＝argmin||Sn ID-LSQ||2≤g2
wherein S isn IDFor high frequency after n iterationsA spectrum efficiency spectrum multiplexing system signal matrix, g is a search radius of a transmitted high spectrum efficiency spectrum multiplexing system signal, SQFor each set of possible values of the transmitted high spectral efficiency spectrally multiplexed system signal, L is the upper triangular matrix of the interference matrix, | | · | |, representing the euclidean norm.
Further, the improved sphere algorithm specifically comprises:
selecting partial Q values meeting the conditions when calculating each row of matrix, wherein the selection scheme is a scheme of selecting nodes in a diamond shape, if the order corresponding to the modulation format of the transmitted high-spectrum-efficiency spectrum multiplexing system signal is M, the serial numbers of the Q values selected from the Nth row to the first row of the matrix are M/2, M/3, 3M/2, 2M, … (N/2-1) M/2, N/2M/2, (N/2-1) M/2, … 3M/2, M, M/2, and S corresponding to the minimum Q valueQNamely the real value of the transmitted high-spectrum-efficiency spectrum multiplexing system signal.
According to another aspect of the present invention, there is provided a subcarrier interference compensation apparatus of a high spectrum efficiency frequency division multiplexing system, including:
the serial-parallel conversion module is used for performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated; in the serial-parallel conversion module, an input signal is converted into parallel data of N lines by serial-parallel conversion
Figure BDA0002456945270000031
Wherein S is0A matrix of N rows and 1 column;
the ID algorithm module is used for carrying out iterative algorithm on the signal to be compensated and obtaining an estimated value signal after n iterations; the iterative formula is as follows:
Figure BDA0002456945270000032
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000033
the signal matrix of the high-spectrum-efficiency spectrum multiplexing system after n iterations is used as input data of an improved sphere algorithm,
Figure BDA0002456945270000034
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is an identity matrix, lambda is a convergence factor, and C is an interference matrix.
Figure BDA0002456945270000035
Is a matrix of N rows and 1 column. C is an interference matrix of N rows and N columns, e is a unit matrix of N rows and N columns, and lambda is a constant;
and the improved spherical algorithm module is used for determining the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimated value signal, retrieving all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and obtaining the real value of the sent high-spectrum-efficiency spectrum multiplexing system signal by using the improved spherical algorithm traversal for changing the retrieval direction so as to complete subcarrier interference compensation.
Further, the search radius g of the transmitted high spectral efficiency spectrum multiplexing system signal is:
Figure BDA0002456945270000041
calculating all possible value errors of the transmitted high-spectrum-efficiency spectrum multiplexing system signals meeting the following condition is represented by a matrix Q:
Figure BDA0002456945270000042
wherein S isn IDG is the search radius of the high spectral efficiency spectrum multiplexing system signal sent out, SQFor each transmitted signalAnd (4) an energy value set, wherein L is an upper triangular matrix of the interference matrix, and | is | · | | represents an Euclidean norm.
Due to SQFor receiving data S0Possible values of N rows of data, e.g. 4QAM modulation format, each row of data having possible values of 1, i, -1 and-i, in this case 4NThus, the calculation is performed line by line from the last line according to the matrix, and when calculating the penultimate line, the S to be calculated is requiredQThe probability is 4:
1 -1 i -i
the next row calculates the respective corresponding 4 possible quantities of the 4 data of the previous row:
Figure BDA0002456945270000043
this time change was calculated sequentially for 16 values, and it was found that the amount of the calculated value in the N-1 th row was 4N-1The Nth row is 4N. Finally, 4 is obtainedNAnd sequencing the data, wherein the minimum value is the best solution.
In the improved sphere algorithm, the numerical values of each line are searched and sorted from small to large, and the sorting is stored in Q; selecting a certain number of lines, discarding a certain amount of data, and only calculating the possible value of the selected number when calculating the next line; reduced computational complexity. For example, at layer 5, the resulting data is 45When calculating at layer 6, 45The data each have 4 possibilities, so 4 is calculated6Second, but if at level 5 we discard half of the data after sorting, then the last level 5 data is 44And to layer 6, only 2 is calculated5And (4) data. And finally, continuously sequencing and storing the obtained result in Q by the last layer of calculation, and selecting the minimum value as the optimal solution.
And selecting a diamond selection scheme by the retrieval sorting scheme, wherein if the number of constellation points is M, nodes from N rows to a first row selection area are M/2, M/3, 3M/2, 2M, … (N/2-1) M/2, N/2M/2, (N/2-1) M/2, … 3M/2, M and M/2, and the numerical value in the optimal traversal path is the recovered signal data.
Compared with the prior art, the subcarrier interference compensation method and the subcarrier interference compensation device for the high-spectrum-efficiency frequency division multiplexing system reduce partial data nodes in the process of improving the globalstar algorithm, ensure good demodulation of signals, improve the system performance under a certain bit error rate BER, and greatly reduce the complexity of the system.
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Fig. 1 is a functional block diagram of a subcarrier interference compensation method of a high spectral efficiency frequency division multiplexing system according to an embodiment of the present invention;
fig. 2 is a schematic node selection diagram of a subcarrier interference compensation method for a high spectral efficiency frequency division multiplexing system according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
In an aspect of the present invention, a subcarrier interference compensation method for a high spectrum efficiency frequency division multiplexing system is provided, as shown in fig. 1, including the following steps:
performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated;
carrying out an iterative algorithm on the signal to be compensated, and obtaining an estimated value signal after n iterations;
and determining a search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimation value signal, searching all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and traversing by using an improved spherical algorithm for changing the search direction to obtain a real value of the sent high-spectrum-efficiency spectrum multiplexing system signal so as to complete subcarrier interference compensation.
Specifically, the formula of the iterative operation is:
Figure BDA0002456945270000061
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000062
the signal matrix of the high-spectrum-efficiency spectrum multiplexing system after n iterations is used as input data of an improved sphere algorithm,
Figure BDA0002456945270000063
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is an identity matrix, lambda is a convergence factor, and C is an interference matrix.
Specifically, the search radius g of the transmitted high spectral efficiency spectrum multiplexing system signal is:
Figure BDA0002456945270000064
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000065
the signal matrix of the high-spectrum-efficiency frequency spectrum multiplexing system after n-1 iterations is used, and C is an interference matrix.
Specifically, the error in the values of all possible transmitted high spectral efficiency spectrally multiplexed system signals is represented by the matrix Q as:
Q＝argmin||Sn ID-LSQ||2≤g2
wherein S isn IDIs a high spectral efficiency spectrum multiplexing system signal matrix after n iterations, and g is the sent high spectral efficiency spectrum multiplexingBy search radius of the system signal, SQFor each set of possible values of the transmitted high spectral efficiency spectrally multiplexed system signal, L is the upper triangular matrix of the interference matrix, | | · | |, representing the euclidean norm.
Specifically, the improved sphere algorithm is specifically as follows:
selecting partial Q values meeting the condition when calculating each row of matrix, wherein the selection scheme is a scheme of selecting nodes in a diamond shape, as shown in FIG. 2, if the order corresponding to the modulation format of the transmitted high spectral efficiency spectrum multiplexing system signal is M, the serial numbers of the nodes selected from the Nth row to the first row of the matrix are M/2, M/3, 3M/2, 2M. (N/2-1) M/2, N/2M/2, (N/2-1) M/2,. cndot. 3M/2, M, M/2, and the S corresponding to the minimum nodeQNamely the real value of the transmitted high-spectrum-efficiency spectrum multiplexing system signal.
Another aspect of the present invention further provides a subcarrier interference compensation apparatus for a high spectral efficiency frequency division multiplexing system, including:
the serial-parallel conversion module is used for performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated; in the serial-parallel conversion module, the input signal is converted into parallel data of N lines
S0＝(sx0 1sx0 2… sx0 N)
Wherein S is0A matrix of N rows and 1 column;
the ID algorithm module is used for carrying out iterative algorithm on the signal to be compensated and obtaining an estimated value signal after n iterations; the iterative formula is as follows:
Figure BDA0002456945270000071
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure BDA0002456945270000072
for high spectral efficiency spectrum multiplexing system after n iterationsA number matrix, as input data for the improved sphere algorithm,
Figure BDA0002456945270000073
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is an identity matrix, lambda is a convergence factor, and C is an interference matrix.
Figure BDA0002456945270000074
Is a matrix of N rows and 1 column. C is an interference matrix of N rows and N columns, e is a unit matrix of N rows and N columns, and lambda is a constant;
and the improved spherical algorithm module is used for determining the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimated value signal, retrieving all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and obtaining the real value of the sent high-spectrum-efficiency spectrum multiplexing system signal by using the improved spherical algorithm traversal for changing the retrieval direction so as to complete subcarrier interference compensation.
Specifically, the search radius g of the transmitted high spectral efficiency spectrum multiplexing system signal is:
Figure BDA0002456945270000081
calculating all possible value errors of the transmitted high-spectrum-efficiency spectrum multiplexing system signals meeting the following condition is represented by a matrix Q:
Q＝argmin||Sn ID-LSQ||2≤g2
wherein S isn IDG is the search radius of the high spectral efficiency spectrum multiplexing system signal sent out, SQFor each set of possible values of the transmitted signal, L is the upper triangular matrix of the interference matrix, | | | |, represents the euclidean norm.
And selecting a diamond selection scheme by the retrieval sorting scheme, wherein if the number of constellation points is M, nodes from N rows to a first row selection area are M/2, M/3, 3M/2, 2M, … (N/2-1) M/2, N/2M/2, (N/2-1) M/2, … 3M/2, M and M/2, and the numerical value in the optimal traversal path is the recovered signal data.
In the embodiment, assuming that the received data is serial data of (1.1; -0.9, 1.1) and the corresponding transmitted data is (1, -1, 1), we convert the serial data into data of 3 rows, S0(1.1-0.91.1) according to the formula
Figure BDA0002456945270000082
And
Figure BDA0002456945270000083
separately find g and
Figure BDA0002456945270000084
and
Figure BDA0002456945270000085
it is assumed that λ is 1,
Figure BDA0002456945270000086
when n is 2, the obtained values are respectively
Figure BDA0002456945270000087
g＝3.1234。
Taking the modulation format of the signal as 4QAM format as an example, the possible values are (1, i, -i-1), and according to the formula Q ═ arg min | | | S2 ID-CSQ||2≤g2Calculating, for the last line, the last layer is respectively corresponding to SQThe results of the 4 possible values of (a), i.e. corresponding to 1, -1, i, -i, are 0.036, 2.064, 1.53 and 1.53. According to the original scheme, when the second layer is calculated, 4 kinds of the nodes need to be analyzed for the possibility in 4 kinds of the nodes, in order to reduce the number of the nodes, the part adopts an improved scheme of selecting partial nodes, each layer is ranked from large to small, the scheme adopted by the part is a diamond selection scheme, and the value selected by each layer is 2, 4 and 2. Thus, after ordering this layer, values of 0.036 and 1 were chosen.53, its corresponding SQFor the second to last layer, the two values of calculating the first to last layer correspond to 4 possibilities, and thus there are 8 calculation results corresponding to (1, 1), (1, -1), (1, i), (1, -i): 2.2, 0.228, 3.4, 1.48, and the corresponding values, (i, 1), (i, -1), (i, i), (i, -i):1.51, 2.64, 2.51, 2.51. this layer is ordered, taking the 4 smallest values: 0.228, 1.48, 1.51, 2.2, corresponding to this time SQComprises the following steps: (1, -1), (1, -i), (i, 1), (1, 1). At this time, the third last layer is entered, and 4 possibilities corresponding to each value are calculated respectively, so as to obtain 16 calculated values. Then sorting is carried out, and 2 values are selected as the value number of the layer: 0.336, 1.54, corresponding to SQRespectively (1, -1, 1) and (1, -1, i). Since the last but one layer is the last one, S corresponding to the minimum value is takenQI.e. the optimal solution. It can be seen that the data is consistent with the data transmitted at the beginning, so that the scheme not only eliminates the inter-subcarrier interference, but also reduces the complexity.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A sub-carrier interference compensation method of a high-spectrum-efficiency frequency division multiplexing system is disclosed, wherein the sub-carrier interference exists in the process of transmitting and receiving signals of the high-spectrum-efficiency frequency division multiplexing system, and the sub-carrier interference compensation method is characterized by comprising the following steps:
performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated;
carrying out an iterative algorithm on the signal to be compensated, and obtaining an estimated value signal after n iterations;
and determining the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimated value signal, retrieving all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and traversing by using an improved spherical algorithm for changing the retrieval direction to obtain the true value of the sent high-spectrum-efficiency spectrum multiplexing system signal so as to complete subcarrier interference compensation.
2. The method of claim 1, wherein the iterative operation is formulated as:
Figure FDA0002456945260000011
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure FDA0002456945260000012
the signal matrix of the high-spectrum-efficiency frequency spectrum multiplexing system after n iterations is used as the input of an improved sphere algorithm,
Figure FDA0002456945260000013
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is a unit matrix, lambda is a convergence factor, and C is an interference matrix.
3. The method according to claim 1, wherein the search radius g of the transmitted high spectral efficiency frequency division multiplexing system signal is:
Figure FDA0002456945260000014
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure FDA0002456945260000015
the signal matrix of the high-spectrum-efficiency frequency spectrum multiplexing system after n-1 iterations is used, and C is an interference matrix.
4. The method of claim 3, wherein the error of the values of all possible transmitted spectrally efficient frequency division multiplexed system signals is represented by a matrix Q as:
Q＝argmin||Sn ID-LSQ||2≤g2
wherein S isn IDIs a high spectral efficiency spectrum multiplexing system signal matrix after n iterations of serial-to-parallel conversion, g is the search radius of the transmitted high spectral efficiency spectrum multiplexing system signal, SQFor each set of possible values of the transmitted high spectral efficiency spectrally multiplexed system signal, L is the upper triangular matrix of the interference matrix, | | · | |, representing the euclidean norm.
5. The method according to claim 4, wherein the improved sphere algorithm specifically comprises:
selecting Q values meeting the conditions when calculating each row of matrix, wherein the selection scheme is a scheme of selecting nodes in a diamond shape, if the order corresponding to the modulation format of the transmitted high-spectrum-efficiency spectrum multiplexing system signal is M, the serial numbers of the Q values selected from the Nth row to the first row of the matrix are M/2, M/3, 3M/2, 2M, … (N/2-1) M/2, N/2M/2, (N/2-1) M/2, … 3M/2, M, M/2, and S corresponding to the minimum Q valueQNamely the real value of the transmitted high-spectrum-efficiency spectrum multiplexing system signal.
6. A subcarrier interference compensation apparatus for a high spectral efficiency frequency division multiplexing system, comprising:
the serial-parallel conversion module is used for performing serial-parallel conversion on the received high-spectrum-efficiency frequency spectrum multiplexing system signal to obtain a signal to be compensated;
the iterative algorithm module is used for carrying out iterative algorithm on the signal to be compensated and obtaining an estimated value signal after n iterations;
and the improved spherical algorithm module is used for determining the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal according to the estimated value signal, retrieving all possible values of the sent high-spectrum-efficiency spectrum multiplexing system signal in the search radius, and traversing by using an improved spherical algorithm for changing the retrieval direction to obtain the real value of the sent high-spectrum-efficiency spectrum multiplexing system signal so as to complete subcarrier interference compensation.
7. The apparatus of claim 6, wherein the iterative operation is formulated as:
Figure FDA0002456945260000031
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure FDA0002456945260000032
the signal matrix of the high-spectrum-efficiency spectrum multiplexing system after n iterations is used as input data of an improved sphere algorithm,
Figure FDA0002456945260000033
the method is a high-spectrum-efficiency spectrum multiplexing system signal matrix after n-1 iterations and used for calculating the search radius of the sent high-spectrum-efficiency spectrum multiplexing system signal, e is a unit matrix, lambda is a convergence factor, and C is an interference matrix.
8. The apparatus according to claim 7, wherein the search radius g of the transmitted high spectral efficiency frequency division multiplexing system signal is:
Figure FDA0002456945260000034
wherein S is0For the high spectral efficiency spectrum multiplexing system signal matrix after serial-to-parallel conversion,
Figure FDA0002456945260000035
the signal matrix of the high-spectrum-efficiency frequency spectrum multiplexing system after n-1 iterations is used, and C is an interference matrix.
9. The apparatus of claim 8, wherein the error of the values of all possible transmitted spectrally efficient frequency division multiplexed system signals is represented by a matrix Q as:
Q＝argmin||Sn ID-LSQ||2≤g2
wherein S isn IDIs a high spectral efficiency spectrum multiplexing system signal matrix after n iterations of serial-to-parallel conversion, g is the search radius of the transmitted high spectral efficiency spectrum multiplexing system signal, SQFor each set of possible values of the transmitted signal, L is the upper triangular matrix of the interference matrix, | | · | | represents the euclidean norm.
10. The apparatus for compensating for subcarrier interference in a high spectral efficiency frequency division multiplexing system as claimed in claim 9, wherein the algorithm of the improved sphere algorithm module is specifically:
selecting partial Q values meeting the conditions when calculating each row of matrix, wherein the selection scheme is a diamond node selection scheme, if the order corresponding to the modulation format of the transmitted high-spectrum-efficiency spectrum multiplexing system signal is M, the serial numbers of the Q values selected from the Nth row to the first row of the matrix are M/2, M/3, 3M/2, 2M, … (N/2-1) M/2, N/2M/2, (N/2-1) M/2, … 3M/2, M, M/2, and S corresponding to the minimum Q valueQI.e. the recovered transmitted signal.
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