WO2024045544A1 - Decoding path determination method and apparatus, and computer device and storage medium - Google Patents

Decoding path determination method and apparatus, and computer device and storage medium Download PDF

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Publication number
WO2024045544A1
WO2024045544A1 PCT/CN2023/080813 CN2023080813W WO2024045544A1 WO 2024045544 A1 WO2024045544 A1 WO 2024045544A1 CN 2023080813 W CN2023080813 W CN 2023080813W WO 2024045544 A1 WO2024045544 A1 WO 2024045544A1
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Prior art keywords
symbol
symbol synchronization
optimized
target
information
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PCT/CN2023/080813
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French (fr)
Chinese (zh)
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张川
周华羿
黄永明
尤肖虎
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网络通信与安全紫金山实验室
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Publication of WO2024045544A1 publication Critical patent/WO2024045544A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0045Arrangements at the receiver end
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0057Block codes

Definitions

  • the present application relates to the field of communication technology, and in particular to a decoding path determination method, device, computer equipment and storage medium.
  • the information bits are channel-coded and then the coded signal is modulated into symbols.
  • the detector first estimates the symbol from the received signal, converts the estimated symbol into a log-likelihood ratio of bits, and sends it to the decoder as soft information.
  • the decoder finally recovers the information through the decoding algorithm. bits.
  • the channel polarization method using polar code is very common in the fifth generation mobile communication technology (5th Generation Mobile Communication Technology, 5G).
  • 5G Fifth Generation Mobile Communication Technology
  • MIMO Multiple-Input Multiple-Output
  • the currently commonly used detection and decoding method is the MIMO fusion detection and decoding algorithm, which is generally implemented using spherical decoding or K-best algorithm.
  • K-best algorithm spherical decoding or K-best algorithm.
  • the current MIMO fusion detection and decoding algorithm has the problem of low accuracy of the decoding path.
  • this application provides a method for determining a decoding path.
  • the methods include:
  • each initial symbol synchronization set According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
  • the target decoding path is determined based on the optimized symbol synchronization set.
  • this application also provides a decoding path determination device, which includes:
  • the acquisition module obtains at least two initial symbol synchronization sets according to the equivalent directed graph
  • the optimization module optimizes each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set;
  • the determination module determines the target decoding path according to the optimized symbol synchronization set.
  • this application also provides a computer device.
  • the computer device includes a memory and a processor.
  • the memory stores a computer program.
  • the processor executes the computer program, the decoding path determination method according to any embodiment of the first aspect is implemented.
  • this application also provides a computer-readable storage medium.
  • a computer-readable storage medium on which is stored A computer program is stored, and when the computer program is executed by the processor, the decoding path determination method of any embodiment of the first aspect is implemented.
  • the decoding path determination method, device, computer equipment and storage medium construct a symbol-based equivalent directed graph according to the polar code generation matrix, and obtain at least two initial symbol synchronizations based on the equivalent directed graph.
  • Figure 1 is an application environment diagram of a decoding path determination method in an embodiment
  • Figure 2 is a schematic flowchart of a decoding path determination method in one embodiment
  • Figure 3 is an equivalent directed graph based on bit synchronization nodes in one embodiment
  • Figure 4 is a schematic flowchart of determining an initial symbol synchronization set in another embodiment
  • Figure 5 shows a preliminary symbol equivalent directed graph and an improved symbol equivalent directed graph in one embodiment
  • Figure 6 is a schematic flowchart of determining an optimized symbol synchronization set in one embodiment
  • Figure 7 is a schematic flowchart of determining an optimized symbol synchronization set in one embodiment
  • Figure 8 is a schematic flowchart of determining a target decoding path in another embodiment
  • Figure 9 is a schematic flowchart of determining a target decoding path in yet another embodiment
  • Figure 10 is a schematic flowchart of determining a target decoding path in one embodiment
  • Figure 11 is a comparison chart of FER performance tested in the simulation environment
  • Figure 12 is a block diagram of a decoding path determination device in one embodiment
  • Figure 13 is a block diagram of a decoding path determination device in one embodiment
  • Figure 14 is a block diagram of a decoding path determination device in one embodiment
  • Figure 15 is a block diagram of a decoding path determination device in one embodiment
  • Figure 16 is an internal structure diagram of a computer device in one embodiment
  • Figure 17 is an internal structure diagram of a computer device in one embodiment.
  • the MIMO communication system uses multiple antennas at the transmitting end to send signals independently, and at the same time, multiple antennas at the receiving end are used to receive and restore the original information, greatly improving the capacity and reliability of the channel.
  • signal detection and decoding become more difficult.
  • Signal detection and channel decoding are important research directions in baseband signal processing.
  • the information bits are first channel-coded and modulated into symbols.
  • detection and decoding are usually viewed as two independent processing modules: the MIMO detector first estimates the symbols from the received signal, and then converts them into log-likelihood ratios of bits and sends them to the decoder as soft information. , the decoding algorithm finally recovers the information bits.
  • Polar codes are defined as Standard for eMBB control channel. Facing the application scenarios of next-generation mobile communication systems, baseband signal processing technology faces huge challenges. Joint optimization of MIMO signal detection and channel decoding has demonstrated the possibility of bringing huge gains to the system.
  • the polar code selected as the standard for the eMBB control channel of 5G the traditional separate type and joint iterative type can no longer meet the communication requirements of high reliability and low latency. Therefore, a polar code encoding MIMO system is proposed.
  • the synchronization set-assisted breadth-first sphere decoding method is of great significance.
  • the working modes of the MIMO detection and polar code decoding modules can be divided into three types.
  • the first is the separated type, which regards detection and decoding as two independent processing modules, that is, a simple cascade of MIMO detection and polar code decoding modules. It processes information in a serial manner and finally obtains the decoding result. .
  • the separate detection module fails to maximize the use of known polar code encoding characteristics, its error correction performance is still far from the Shannon limit, and there is huge room for improvement.
  • multiple iterations of the joint iteration type inevitably increase the system delay.
  • the detection and decoding modules always rely on the transfer of soft information.
  • the calculation and storage of floating-point soft information results in high space complexity and a large consumption of hardware resources;
  • the independent detection module fails to maximize the use of the a priori information of the adopted channel coding, resulting in a certain degree of performance loss;
  • fusion detection decoding which is generally implemented using spherical decoding or K-best algorithm.
  • the decoding path with the smallest Euclidean distance from the received information is finally output.
  • the advantage of the MIMO fusion detection and decoding algorithm for polar code encoding is that the decoding part is based on bit enumeration, and the decoding architecture is the same as polar code encoding, which is beneficial to saving storage resources and there is no delay caused by iteration ; Fusion detection decoding can fully consider the prior information of polar coding when enumerating bits, such as the distribution of information bits and frozen bits, which can improve detection performance and reduce the original detection search space.
  • the decoding order is based on the total length of the codeword, in order from largest to smallest, and the minimum Euclidean distance of each bit is calculated bit by bit.
  • the current bit-by-bit enumeration order used in decoding is obviously not optimal, that is, the accuracy of the current decoding path is low, and the detection performance of the system still has huge room for improvement.
  • the decoding path determination method provided by the embodiment of the present application can be applied in the application environment as shown in Figure 1.
  • the application environment may include a receiving end 102 and a transmitting end 101.
  • the transmitting end 101 maps the data signal to be sent to multiple antennas through space-time mapping and sends it out.
  • the receiving end 102 performs space-time decoding on the signals received by each antenna to recover the data signal sent by the transmitting end. Signals are transmitted and received through the antennas of the transmitting end 101 and the receiving end 102.
  • the transmitting end 101 can use multiple transmitting antennas, and the receiving end 102 can use multiple receiving antennas.
  • MIMO technology uses multiple antennas at the transmitter 101 to independently transmit signals, and at the same time, multiple antennas are used at the receiver 102 to receive and restore the original information, thereby achieving higher user rates at a lower cost.
  • the receiving end 102 can be, but is not limited to, various personal computers, laptops, smart phones, tablets, Internet of Things devices, and portable wearable devices.
  • the Internet of Things devices can be smart speakers, smart TVs, smart air conditioners, and smart vehicle-mounted devices. wait.
  • Portable wearable devices can be smart watches, smart bracelets, head-mounted devices, etc.
  • the transmitter 101 can be implemented as an independent transmitter or a transmitter cluster composed of multiple transmitters.
  • Polar code is a channel coding technology with practical linear complexity encoding and decoding capabilities.
  • 5G communications set polar code as the standard for enhanced mobile broadband (Enhanced Mobile Broadband, eMBB) control channel.
  • eMBB enhanced Mobile Broadband
  • M-QAM Multiple Quadrature Amplitude Modulation
  • the modulated symbol S map ⁇ uG ⁇ , where map ⁇ represents the modulation function. After the symbol S is transmitted through the channel, it becomes a complex-valued received symbol. each symbol It is mapped from M possible constellation diagrams.
  • the received information is expressed as in is the complex channel matrix of Nr ⁇ Nt, is Gaussian white noise.
  • ML Maximum Likelihood
  • the length of S after real-valuation is 2Nt.
  • Perform orthogonal triangular (QR) decomposition for the channel matrix H: H QR, where Q represents a 2Nr ⁇ 2Nt regular orthogonal matrix (unitary matrix), and R is a 2Nr ⁇ 2Nt upper triangular matrix.
  • MIMO system detection and decoding are integrated into one process, and then a symbol-based equivalent directed graph is constructed according to the polar code generation matrix; based on the equivalent directed graph, at least two initial symbol synchronization sets are obtained ; According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set; finally, the receiving end can be based on the above optimized symbol synchronization set Determine the target decoding path.
  • a decoding path determination method is provided. This method is explained by taking the method applied to the receiving end in Figure 1 as an example, and includes the following steps:
  • the polar code generation matrix can be the polar code generation matrix G in the aforementioned scenario introduction, and the equivalent directed graph is a directed graph composed of symbols as nodes and connection relationships between symbols as edges.
  • the polar code generation matrix can be analyzed based on preset mapping rules to construct an equivalent directed graph.
  • the symbol-based equivalent directed graph can be constructed as follows: Constructing the generation matrix from polar codes Mapping rules to equivalent directed graphs; according to the mapping rules, an equivalent directed graph based on bits is mapped; treating at least two bits as a symbol, an equivalent directed graph of the symbol is obtained.
  • FIG. 3 shows the equivalent directed graph mapped by the polar code generation matrix for a code length of 8, information bits of 3, and information bit set ⁇ 6,7,8 ⁇ .
  • M 2 m .
  • one symbol corresponds to m/2 bits.
  • 16-QAM modulation one symbol corresponds to 2 bits, that is, the two adjacent bits are regarded as a whole, the starting point and end point of the edge are corrected into symbols, duplicate edges are deleted, and edges that generate self-loops are deleted, that is, Equivalent directed graphs based on symbols can be obtained.
  • the initial symbol synchronization set may include information symbols and frozen symbols.
  • a symbol containing all frozen bits is defined as a frozen symbol, and other types of symbols are defined as information symbols.
  • the equivalent directed graph can be disassembled, the edges between the symbols in the equivalent directed graph can be removed, and symbols with a certain relationship can be placed in the same set to generate an initial symbol synchronization set.
  • the information symbol A in the equivalent directed graph you can delete the edge starting from the information symbol A, and then check the frozen symbol B connected to the information symbol A. At the in-degree of the frozen symbol connected to the information symbol A, Under the condition that is 0, put the information symbol A and the information symbol B in the same set. You can follow the above method to traverse all symbols in the equivalent directed graph, classify all symbols into each set, and finally obtain multiple initial symbol synchronization sets.
  • the information bit and the frozen bit will be placed in the same set.
  • the set is called the initial bit synchronization set, and the Euclidean distance of the bits in the same bit synchronization set will be calculated simultaneously. All information bits are traversed in sequence to obtain all initial bit synchronization sets of the equivalent directed graph corresponding to the polar code generation matrix.
  • the preset set may be any of the initial symbol synchronization sets.
  • the at least two initial symbol synchronization sets may include initial symbol synchronization set 1, initial symbol synchronization set 2, and initial symbol synchronization set 3.
  • the preset set may be the initial symbol synchronization set 2 or the initial symbol synchronization set 3.
  • each initial symbol synchronization set can be optimized according to the dependency relationship between the frozen symbols in the initial symbol synchronization set and the information symbols in the preset set. For example, according to the set In the enumeration order, the initial symbol synchronization set is before the preset set. Under the condition that the information symbols in the preset set will affect the value of the frozen symbols in the initial symbol synchronization set, the frozen symbols in the initial symbol synchronization set cannot Appears in the current initial symbol synchronization set. The frozen symbol can be placed in the preset set or in the current initial symbol synchronization set.
  • the initial symbol sync set follows the enumeration order of the number sync set.
  • Each initial symbol synchronization set can be optimized in the above manner, so that the position of the symbols in each symbol synchronization set is relatively accurate, thereby obtaining an optimized symbol synchronization set.
  • the Euclidean distance of each symbol in each optimized symbol synchronization set can be enumerated according to the set enumeration order and the enumeration order of each symbol in each optimized symbol synchronization set, so that according to each The Euclidean distance of each symbol in the optimized symbol synchronization set determines the target decoding path. For example, when the optimized symbol synchronization set 1 and the optimized symbol synchronization set 2 are included, the Euclidean distance of each symbol in the optimized symbol synchronization set 1 can be calculated first, and then the optimized symbol synchronization set 2 can be calculated The Euclidean distance of each symbol in , the target decoding path is determined based on all the Euclidean distances calculated above.
  • K1 minimum Euclidean distances can be selected from the Euclidean distances of each symbol in the optimized symbol synchronization set 1
  • K2 minimum Euclidean distances can be selected from the Euclidean distances of each symbol in the optimized symbol synchronization set 2.
  • the smallest Euclidean distance determines the target decoding path based on the K1 smallest Euclidean distances and the K2 smallest Euclidean distances.
  • the decoding path determination method constructs a symbol-based equivalent directed graph according to the polar code generation matrix, obtains at least two initial symbol synchronization sets based on the equivalent directed graph, and obtains at least two initial symbol synchronization sets based on each initial symbol synchronization set.
  • the frozen symbols in and the information symbols in the preset set are optimized for each initial symbol synchronization set to obtain an optimized symbol synchronization set, and the target decoding path is determined based on the optimized symbol synchronization set.
  • symbols are classified into sets based on equivalent directed graphs, and the decoding path is determined based on the sets, so that the enumeration order of symbols is more optimized, and the path evaluation at each decoding level becomes more accurate.
  • the initial symbol synchronization set is optimized so that the corresponding enumeration order in the optimized symbol synchronization set is further optimized, so that the final target decoding path is more accurate.
  • Step S202 “According to the equivalent directed graph, obtain "At least two initial symbol synchronization sets" may include the following steps: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of each information symbol, determine the initial symbol synchronization set according to the in-degree of the frozen symbol;
  • the target edge is the edge starting from the semaphore symbol.
  • the in-degree of the frozen symbol refers to the number of directed edges entering the frozen symbol.
  • each symbol in the equivalent directed graph has a certain enumeration order. Based on the enumeration order, the edge starting from each information symbol can be deleted, and then the frozen symbols connected to the information symbol can be viewed. Under the condition that the in-degree of the frozen symbol is 0, put the information symbol and the frozen symbol in an initial symbol synchronization set, and traverse each information symbol and frozen symbol in the enumeration order with reference to the above method, Finally, each initial symbol synchronization set is obtained.
  • the above process of obtaining the initial symbol synchronization set may include the following steps:
  • S401 Perform a classification operation; wherein the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the deletion of the target edge connected to the current information symbol.
  • the in-degree of the target freeze symbol under the condition that the in-degree of the target freeze signal is zero, then the current information symbol and the target freeze symbol are classified into the same set.
  • S402. According to the enumeration sequence, determine the next information symbol adjacent to the current information symbol as the new current information symbol, and return to perform the classification operation until all symbols are classified into the set, and each initial symbol synchronization is obtained. gather.
  • bit 1 and bit 2 can be regarded as the symbol b1
  • bit 3 and bit 4 can be regarded as the symbol b2.
  • bit 8 and bit 1 cannot be regarded as one symbol because they do not conform to the bit Bit-by-bit sequence of the enumeration.
  • the frozen symbols connected to b4 are b1 and b2, delete the edge starting from symbol b4, and then check the in-degree of frozen symbols b1 and b2, where the in-degree of frozen symbol b2 is zero, then the information symbol b4 and the frozen symbol b2 are placed in the same initial synchronization set.
  • check other information symbols according to the above method to obtain the initial synchronization set.
  • the enumeration order of the initial symbol synchronization sets is determined according to each initial symbol synchronization set. For example, as shown in the upper part of Figure 5, the enumeration order of the initial symbol synchronization set is T1’>>T2’.
  • Each initial symbol synchronization set provided by the embodiment of this application is based on the enumeration order of each symbol in the equivalent directed graph. After deleting the target edge of each information symbol, the initial symbol synchronization set is determined based on the in-degree of the frozen symbol. In the embodiment of this application, the initial symbol synchronization set is determined based on the in-degree of the frozen symbol, and the serial bit-by-bit enumeration sequence is converted into the initial symbol synchronization set.
  • step S203 can include the following steps:
  • each symbol in the current symbol synchronization set has a sequence number.
  • the preset set can be other sets besides the current symbol synchronization set.
  • the embodiments of this application are only used as examples for illustration, and are not intended to limit this solution.
  • S602 Optimize the current symbol synchronization set according to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, and obtain an optimized symbol synchronization set.
  • the upper triangular matrix can be the matrix R introduced in the foreground.
  • the first serial number and the second serial number can be regarded as the index of the elements in the matrix R, so that the value of the element is located from the matrix R according to the first serial number and the second serial number, and the current symbol synchronization set is optimized according to the value of the element. Obtain the optimized symbol synchronization set.
  • step S602 may include the following steps:
  • the first serial number is 2 and the second symbol is 3, then 2 is the row , with 3 as the column, find the value of element r(2,3) in the upper triangular matrix R as the value of the target element.
  • the target symbol synchronization set Under the condition that the second sequence number is greater than the first sequence number and the value of the target element is not zero, delete the frozen symbol from the current symbol synchronization set, and add the frozen symbol to the target symbol synchronization set; the target symbol synchronization set
  • the third sequence number of the information symbol in is less than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or, the target symbol synchronization set is a preset set.
  • FIG. 5 shows an improved signed equivalent directed graph provided by the embodiment of the present application.
  • the first sequence number is 2
  • the second symbol is 3
  • the second sequence number 3 is greater than the first sequence number 2
  • the element r(2,3) in the second row and third column of the upper triangular matrix R is not zero, synchronize the current symbol
  • Enumeration order For example, as shown in the lower part of Figure 5, the enumeration order of the initial symbol synchronization set is T1>>T2.
  • Each initial symbol synchronization set provided in this embodiment is based on the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; according to the first sequence number, the second sequence number and the channel matrix corresponding The upper triangular matrix optimizes the current symbol synchronization set to obtain the optimized symbol synchronization set.
  • each initial symbol synchronization set is optimized to obtain an optimized symbol synchronization set, so that each symbol can be classified in the correct
  • the symbol synchronization set avoids the influence of the Euclidean distance calculation due to symbol position errors, making the enumeration order of symbols in each symbol synchronization set more accurate, and the final target decoding path is also more accurate.
  • step S204 may include the following steps:
  • the Euclidean distance of each information symbol can be calculated according to the formula It is calculated that in this formula, u is the bit sequence corresponding to the two bits in each symbol.
  • each information symbol may have multiple Euclidean distances
  • the Euclidean distance of the optimized symbol synchronization set is related to the Euclidean distance of each information symbol
  • the Euclidean distance of the frozen symbol is related to the Euclidean distance of the optimized symbol synchronization set. No effect.
  • the Euclidean distance of each information symbol in each optimized symbol synchronization set can be calculated first, and then the Euclidean distance of each information symbol in each optimized symbol synchronization set can be combined with each other to finally determine Target decoding path.
  • the Euclidean distances of the information symbols in each optimized symbol synchronization set can be calculated sequentially according to the enumeration order of the symbol synchronization sets, and N optimized Euclidean distances are determined for each symbol.
  • the target decoding path is determined by the N optimized Euclidean distances of each information symbol in the symbol synchronization set.
  • each optimized symbol synchronization set For each optimized symbol synchronization set, according to the Euclidean distance of the symbols in it, The Euclidean distance of each optimized symbol synchronization set is determined, and the decoding path is determined based on the Euclidean distance of each optimized symbol synchronization set.
  • step S802 may include the following steps:
  • the preset number of candidate decoding paths may be all decoding paths corresponding to the Euclidean distance of each information symbol in each optimized symbol synchronization set, or may be each information symbol in each optimized symbol synchronization set.
  • the improved symbol synchronization set T1 calculates its Euclidean distance, retain the K1 best paths (that is, the paths with the smallest Euclidean distance), then calculate the Euclidean distance for the set T2, retain the K2 best paths, and accumulate the sum of the K1 best paths of the set T1 Set the K2 best paths of T2, a total of K1 ⁇ K2 paths, and then retain the K3 paths with the smallest Euclidean distance from the K1 ⁇ K2 paths as the target decoding path.
  • the target decoding path provided by this embodiment obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to each information in each optimized symbol synchronization set
  • the Euclidean distance of symbols determines the target decoding path.
  • the enumeration order of the symbols is more accurate, the path evaluation at each decoding level becomes more accurate, and the final target decoding path is also More precise.
  • Figure 10 is a flow chart of a decoding path determination method provided by an embodiment of the present application. As shown in Figure 9, the method may include the following steps:
  • mapping rules include: N bits correspond to N nodes in the directed graph;
  • node i has a directed edge Point to node j.
  • the target symbol synchronization set is a preset set.
  • the target decoding path obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to each information in each optimized symbol synchronization set
  • the Euclidean distance of symbols determines the target decoding path.
  • symbol 4 and symbol 3 are information symbols, containing multiple possibilities.
  • Symbol 2 and symbol 1 are frozen symbols with fixed values.
  • the existing Fusion detection decoding requires four enumeration levels.
  • each edge from node i to node j in the equivalent directed graph in the symbolic sense represents the Euclidean value of symbol i for symbol j.
  • the calculation of distance has an impact.
  • the generated synchronization sets in the symbolic sense are T1 and T2, which only require 2 enumeration levels. That is, at the same enumeration level, the Euclidean distance of more symbols is considered, which improves path evaluation. accuracy.
  • the proposed width-first spherical decoding method is compared with the existing width-first spherical decoding method.
  • steps in the flowcharts involved in the above embodiments are shown in sequence as indicated by the arrows, these steps are not necessarily executed in the order indicated by the arrows. Unless explicitly stated in this article, there is no strict order restriction on the execution of these steps, and these steps can be executed in other orders. Moreover, at least some of the steps in the flowcharts involved in the above embodiments may include multiple steps or multiple stages. These steps or stages are not necessarily executed at the same time, but may be executed at different times. The execution order of these steps or stages is not necessarily sequential, but may be performed in turn or alternately with other steps or at least part of the steps or stages in other steps.
  • embodiments of the present application also provide a detection decoding device that implements the above-mentioned decoding path determination method.
  • the implementation solution provided by this device to solve the problem is similar to the implementation solution recorded in the above method. Therefore, for the specific limitations in one or more detection and decoding device embodiments provided below, please refer to the decoding path determination method mentioned above. The limitations will not be repeated here.
  • a decoding path determination device includes: a construction module 201, an acquisition module 202, an optimization module 203 and a determination module 204, wherein:
  • Building module 201 constructs a symbol-based equivalent directed graph according to the polar code generation matrix
  • the acquisition module 202 acquires at least two initial symbol synchronization sets according to the equivalent directed graph
  • the optimization module 203 optimizes each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set;
  • the determination module 204 determines the target decoding path according to the optimized symbol synchronization set.
  • the acquisition module 202 specifically deletes the target edge of each information symbol according to the enumeration order of each symbol in the equivalent directed graph, and then deletes the target edge of each information symbol according to the input of the frozen symbol.
  • the degree determines the initial symbol synchronization set; the target edge is the edge starting from the signal symbol.
  • the acquisition module 202 includes:
  • the classification unit 2021 performs a classification operation; wherein the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the deletion of the target edge and the current The in-degree of the target freeze symbol connected by the information symbol, under the condition that the in-degree of the target freeze signal is zero, classifies the current information symbol and the target freeze symbol into the same set.
  • the first determination unit 2022 determines the next information symbol adjacent to the current information symbol as the new current information symbol according to the enumeration sequence, and returns to perform the classification operation until all symbols are classified into the set, obtaining Each initial symbol synchronization set.
  • the optimization module 203 includes:
  • the first obtaining unit 2031 obtains the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
  • the optimization unit 2032 optimizes the current symbol based on the first sequence number, the second sequence number and the upper triangular matrix corresponding to the channel matrix.
  • the number synchronization set is optimized to obtain the optimized symbol synchronization set.
  • the optimization unit 2032 specifically uses the first serial number as the row and the second serial number as the column to determine the value of the target element from the upper triangular matrix; when the second serial number is greater than the first serial number, and the value of the target element If it is not zero, the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; the third sequence number of the information symbol in the target symbol synchronization set is less than the first sequence number, and the first The value of the element in the upper triangular matrix corresponding to the serial number and the third serial number is not zero; or, the target symbol synchronization set is a preset set.
  • the determining module 204 includes:
  • the second acquisition unit 2041 obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to the Euclidean distance of each information symbol in each optimized symbol synchronization set , determine the target decoding path.
  • the second determination unit 2042 determines the target decoding path based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
  • the optimization unit 2042 determines a preset number of candidate decoding paths for each optimized symbol synchronization set based on the Euclidean distance of each information symbol in each optimized symbol synchronization set; according to each optimized symbol synchronization set, The candidate decoding path corresponding to the symbol synchronization set determines the target decoding path.
  • Each module in the above-mentioned decoding path determination device may be implemented in whole or in part by software, hardware, or combinations thereof.
  • Each of the above modules may be embedded in or independent of the processor of the computer device in the form of hardware, or may be stored in the memory of the computer device in the form of software, so that the processor can call and execute the operations corresponding to the above modules.
  • Each module in the above-mentioned decoding path determination device may be implemented in whole or in part by software, hardware, or combinations thereof.
  • Each of the above modules may be embedded in or independent of the processor of the computer device in the form of hardware, or may be stored in the memory of the computer device in the form of software, so that the processor can call and execute the operations corresponding to the above modules.
  • a computer device is provided.
  • the computer device may be a server, and its internal structure diagram may be as shown in Figure 16.
  • the computer device includes a processor, memory, and network interfaces connected through a system bus. Wherein, the processor of the computer device provides computing and control capabilities.
  • the memory of the computer device includes non-volatile storage media and internal memory.
  • the non-volatile storage medium stores operating systems, computer programs and databases. This internal memory provides an environment for the execution of operating systems and computer programs in non-volatile storage media.
  • the computer device's database stores decoding paths, polar codes, sets, and other data.
  • the network interface of the computer device communicates with the external terminal through a network connection.
  • the computer program implements a decoding path determination method when executed by a processor.
  • a computer device is provided.
  • the computer device may be a terminal, and its internal structure diagram may be as shown in Figure 17.
  • the computer device includes a processor, memory, communication interface, display screen and input device connected through a system bus.
  • the processor of the computer device provides computing and control capabilities.
  • the memory of the computer device includes non-volatile storage media and internal memory.
  • the non-volatile storage medium stores operating systems and computer programs.
  • This internal memory provides an environment for the execution of operating systems and computer programs in non-volatile storage media.
  • the communication interface of the computer device communicates with an external terminal in a wired or wireless manner.
  • the wireless manner can be implemented through WIFI, mobile cellular network, NFC (Near Field Communication) or other technologies.
  • the computer program implements a decoding path determination method when executed by a processor.
  • the display screen of the computer device may be a liquid crystal display or an electronic ink display.
  • the input device of the computer device may be a touch layer covered on the display screen, or may be a button, trackball or touch pad provided on the computer device shell. , it can also be an external keyboard, trackpad or mouse, etc.
  • FIG. 16 and 17 may be block diagrams of partial structures related to the solution of the present application, and do not constitute a limitation on the computer equipment to which the solution of the present application is applied. Specifically, count A computer device may include more or fewer components than shown in the figures, or some combinations of components, or have a different arrangement of components.
  • a computer device including a memory and a processor.
  • a computer program is stored in the memory.
  • the processor executes the computer program, it implements the following steps:
  • each initial symbol synchronization set According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
  • the target decoding path is determined based on the optimized symbol synchronization set.
  • the processor also implements the following steps when executing the computer program:
  • the initial symbol synchronization set is determined according to the in-degree of the frozen symbol; the target edge is the edge starting from the signal symbol.
  • the processor also implements the following steps when executing the computer program:
  • the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the target freeze connected to the current information symbol after deleting the target edge.
  • the in-degree of the symbol under the condition that the in-degree of the target freezing signal is zero, the current information symbol and the target freezing symbol are classified into the same set;
  • the next information symbol adjacent to the current information symbol is determined as the new current information symbol, and the classification operation is returned until all symbols are classified into sets, and each initial symbol synchronization set is obtained.
  • the processor also implements the following steps when executing the computer program:
  • the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
  • the current symbol synchronization set is optimized to obtain an optimized symbol synchronization set.
  • the processor also implements the following steps when executing the computer program:
  • the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; in the target symbol synchronization set
  • the third sequence number of the information symbol is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is a preset set.
  • the processor also implements the following steps when executing the computer program:
  • each optimized symbol synchronization set obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set
  • the target decoding path is determined based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
  • the processor also implements the following steps when executing the computer program:
  • a preset number of candidate decoding paths are determined for each optimized symbol synchronization set
  • the target decoding path is determined based on the candidate decoding paths corresponding to each optimized symbol synchronization set.
  • a computer-readable storage medium is provided with a computer program stored thereon.
  • the computer program is executed by a processor, the following steps are implemented:
  • each initial symbol synchronization set According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
  • the target decoding path is determined based on the optimized symbol synchronization set.
  • the computer program when executed by the processor, also implements the following steps:
  • the initial symbol synchronization set is determined according to the in-degree of the frozen symbol; the target edge is the edge starting from the signal symbol.
  • the computer program when executed by the processor, also implements the following steps:
  • the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the target freeze connected to the current information symbol after deleting the target edge.
  • the in-degree of the symbol under the condition that the in-degree of the target freezing signal is zero, the current information symbol and the target freezing symbol are classified into the same set;
  • the next information symbol adjacent to the current information symbol is determined as the new current information symbol, and the classification operation is returned until all symbols are classified into sets, and each initial symbol synchronization set is obtained.
  • the computer program when executed by the processor, also implements the following steps:
  • the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
  • the current symbol synchronization set is optimized to obtain an optimized symbol synchronization set.
  • the computer program when executed by the processor, also implements the following steps:
  • the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; in the target symbol synchronization set
  • the third sequence number of the information symbol is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is a preset set.
  • the computer program when executed by the processor, also implements the following steps:
  • each optimized symbol synchronization set obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set
  • the target decoding path is determined based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
  • the computer program when executed by the processor, also implements the following steps:
  • a preset number of candidate decoding paths are determined for each optimized symbol synchronization set
  • the target decoding path is determined based on the candidate decoding paths corresponding to each optimized symbol synchronization set.
  • Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive memory (ReRAM), magnetic variable memory (Magnetoresistive Random Access Memory (MRAM), ferroelectric memory (Ferroelectric Random Access Memory (FRAM)), phase change memory (Phase Change Memory, PCM), graphene memory, etc.
  • Volatile memory may include random access memory (Random Access Memory, RAM) or external cache memory.
  • RAM Random Access Memory
  • RAM Random Access Memory
  • RAM random access memory
  • RAM Random Access Memory
  • RAM random access memory
  • RAM Random Access Memory
  • RAM random access memory
  • RAM Random Access Memory
  • SRAM static random access memory
  • DRAM Dynamic Random Access Memory
  • the databases involved in the various embodiments provided in this application may include at least one of a relational database and a non-relational database.
  • Non-relational databases may include blockchain-based distributed databases, etc., but are not limited thereto.
  • the processors involved in the various embodiments provided in this application may be general-purpose processors, central processing units, Graphics processors, digital signal processors, programmable logic devices, data processing logic devices based on quantum computing, etc. are not limited to these.

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Abstract

The present application relates to a decoding path determination method and apparatus, and a computer device and a storage medium. The method comprises: according to a polar code generation matrix, constructing a symbol-based equivalent directed graph; acquiring at least two initial symbol synchronization sets according to the equivalent directed graph; optimizing the initial symbol synchronization sets according to freeze symbols in the initial symbol synchronization sets and information symbols in a preset set, so as to obtain optimized symbol synchronization sets; and determining a target decoding path according to the optimized symbol synchronization sets.

Description

译码路径确定方法、装置、计算机设备和存储介质Decoding path determination method, device, computer equipment and storage medium
相关申请的交叉引用Cross-references to related applications
本申请要求于2022年08月29日提交中国专利局,申请号为202211039840X,申请名称为“译码路径确定方法、装置、计算机设备和存储介质”的中国专利申请的优先权,在此将其全文引入作为参考。This application requests the priority of the Chinese patent application submitted to the China Patent Office on August 29, 2022, with the application number 202211039840X, and the application name is "Decoding Path Determination Method, Device, Computer Equipment and Storage Medium", which is hereby included. The entire text is incorporated by reference.
技术领域Technical field
本申请涉及通信技术领域,特别是涉及一种译码路径确定方法、装置、计算机设备和存储介质。The present application relates to the field of communication technology, and in particular to a decoding path determination method, device, computer equipment and storage medium.
背景技术Background technique
随着通信技术的发展,信号检测和信道译码已成为基带信号处理的重要研究方向。例如,在发射端,先对信息比特进行信道编码,然后将编码后的信号调制为符号。在接收端,检测器先从接收的信号中估计出符号,将估计出的符号转化为比特的对数似然比作为软信息发送至译码器,译码器通过译码算法最终恢复出信息比特。With the development of communication technology, signal detection and channel decoding have become important research directions in baseband signal processing. For example, at the transmitter end, the information bits are channel-coded and then the coded signal is modulated into symbols. At the receiving end, the detector first estimates the symbol from the received signal, converts the estimated symbol into a log-likelihood ratio of bits, and sends it to the decoder as soft information. The decoder finally recovers the information through the decoding algorithm. bits.
第五代移动通信技术(5th Generation Mobile Communication Technology,5G)中采用极化码的信道极化方式十分常见,例如,在极化码编码的多输入多输出(Mutiple-Input Mutiple-Output,MIMO)通信系统中,目前常用的检测译码方式是MIMO融合型检测译码算法,一般采用球型译码或者K-best算法实现,通过比特枚举,最终输出与接收信息的欧氏距离最小的译码路径。The channel polarization method using polar code is very common in the fifth generation mobile communication technology (5th Generation Mobile Communication Technology, 5G). For example, in polar code encoding Multiple-Input Multiple-Output (MIMO) In communication systems, the currently commonly used detection and decoding method is the MIMO fusion detection and decoding algorithm, which is generally implemented using spherical decoding or K-best algorithm. Through bit enumeration, the decoding method with the smallest Euclidean distance from the received information is finally output. code path.
然而,目前的MIMO融合型检测译码算法,存在译码路径的精度较低的问题。However, the current MIMO fusion detection and decoding algorithm has the problem of low accuracy of the decoding path.
发明内容Contents of the invention
基于此,有必要针对上述技术问题,提供一种译码路径确定方法、装置、计算机设备和存储介质。Based on this, it is necessary to provide a decoding path determination method, device, computer equipment and storage medium to address the above technical problems.
第一方面,本申请提供了一种译码路径确定方法。所述方法包括:In a first aspect, this application provides a method for determining a decoding path. The methods include:
根据极化码生成矩阵构建基于符号的等价有向图;Construct an equivalent symbol-based directed graph based on the polar code generation matrix;
根据等价有向图,获取至少两个初始符号同步集合;According to the equivalent directed graph, obtain at least two initial symbol synchronization sets;
根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合;According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
根据优化后的符号同步集合确定目标译码路径。The target decoding path is determined based on the optimized symbol synchronization set.
第二方面,本申请还提供了一种译码路径确定装置,装置包括:In a second aspect, this application also provides a decoding path determination device, which includes:
构建模块,根据极化码生成矩阵构建基于符号的等价有向图;Building module, constructing a symbol-based equivalent directed graph based on the polar code generation matrix;
获取模块,根据等价有向图,获取至少两个初始符号同步集合;The acquisition module obtains at least two initial symbol synchronization sets according to the equivalent directed graph;
优化模块,根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合;The optimization module optimizes each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set;
确定模块,根据优化后的符号同步集合确定目标译码路径。The determination module determines the target decoding path according to the optimized symbol synchronization set.
第三方面,本申请还提供了一种计算机设备。计算机设备包括存储器和处理器,存储器存储有计算机程序,处理器执行计算机程序时实现如第一方面任一实施例的译码路径确定方法。In a third aspect, this application also provides a computer device. The computer device includes a memory and a processor. The memory stores a computer program. When the processor executes the computer program, the decoding path determination method according to any embodiment of the first aspect is implemented.
第四方面,本申请还提供了一种计算机可读存储介质。计算机可读存储介质,其上存 储有计算机程序,计算机程序被处理器执行时实现如第一方面任一实施例的译码路径确定方法。In a fourth aspect, this application also provides a computer-readable storage medium. A computer-readable storage medium on which is stored A computer program is stored, and when the computer program is executed by the processor, the decoding path determination method of any embodiment of the first aspect is implemented.
本申请实施例提供的译码路径确定方法、装置、计算机设备和存储介质,根据极化码生成矩阵构建基于符号的等价有向图,根据等价有向图,获取至少两个初始符号同步集合,根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合,根据优化后的符号同步集合确定目标译码路径。本申请的一个或多个实施例的细节在下面的附图和描述中提出。本申请的其他特征、目的和优点将从说明书、附图以及权利要求书变得明显。The decoding path determination method, device, computer equipment and storage medium provided by the embodiments of the present application construct a symbol-based equivalent directed graph according to the polar code generation matrix, and obtain at least two initial symbol synchronizations based on the equivalent directed graph. Set, according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set, and determine the target decoding path based on the optimized symbol synchronization set . The details of one or more embodiments of the application are set forth in the accompanying drawings and the description below. Other features, objects and advantages of the application will become apparent from the description, drawings and claims.
附图说明Description of drawings
为了更好地描述和说明这里公开的那些申请的实施例和/或示例,可以参考一幅或多幅附图。描述附图的附加细节或示例不可以认为是对所公开的申请、目前描述的实施例和/或示例以及目前理解的这些申请的最佳模式中的任何一者的范围的限制。To better describe and illustrate embodiments and/or examples of those applications disclosed herein, reference may be made to one or more of the accompanying drawings. Additional details or examples describing the figures are not to be construed as limiting the scope of any of the disclosed applications, the presently described embodiments and/or examples, and the best mode currently understood of these applications.
图1为一个实施例中译码路径确定方法的应用环境图;Figure 1 is an application environment diagram of a decoding path determination method in an embodiment;
图2为一个实施例中译码路径确定方法的流程示意图;Figure 2 is a schematic flowchart of a decoding path determination method in one embodiment;
图3为一个实施例中基于比特同步节点的等价有向图;Figure 3 is an equivalent directed graph based on bit synchronization nodes in one embodiment;
图4为另一个实施例中确定初始符号同步集合的流程示意图;Figure 4 is a schematic flowchart of determining an initial symbol synchronization set in another embodiment;
图5为一个实施例中初步符号等价有向图和改进的符号等价有向图;Figure 5 shows a preliminary symbol equivalent directed graph and an improved symbol equivalent directed graph in one embodiment;
图6为一个实施例中确定优化后的符号同步集合的流程示意图;Figure 6 is a schematic flowchart of determining an optimized symbol synchronization set in one embodiment;
图7为一个实施例中确定优化符号同步集合的流程示意图;Figure 7 is a schematic flowchart of determining an optimized symbol synchronization set in one embodiment;
图8为另一个实施例中确定目标译码路径的流程示意图;Figure 8 is a schematic flowchart of determining a target decoding path in another embodiment;
图9为再一个实施例中确定目标译码路径的流程示意图;Figure 9 is a schematic flowchart of determining a target decoding path in yet another embodiment;
图10为一个实施例中确定目标译码路径的流程示意图;Figure 10 is a schematic flowchart of determining a target decoding path in one embodiment;
图11为仿真环境中测试得到的FER性能对比图;Figure 11 is a comparison chart of FER performance tested in the simulation environment;
图12为一个实施例中译码路径确定装置的框图;Figure 12 is a block diagram of a decoding path determination device in one embodiment;
图13为一个实施例中译码路径确定装置的框图;Figure 13 is a block diagram of a decoding path determination device in one embodiment;
图14为一个实施例中译码路径确定装置的框图;Figure 14 is a block diagram of a decoding path determination device in one embodiment;
图15为一个实施例中译码路径确定装置的框图;Figure 15 is a block diagram of a decoding path determination device in one embodiment;
图16为一个实施例中计算机设备的内部结构图;Figure 16 is an internal structure diagram of a computer device in one embodiment;
图17为一个实施例中计算机设备的内部结构图。Figure 17 is an internal structure diagram of a computer device in one embodiment.
具体实施例方式Specific embodiments
为了使本申请的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本申请进行进一步详细说明。可以理解,此处描述的具体实施例可以用以解释本申请,并不限定本申请。In order to make the purpose, technical solutions and advantages of the present application more clear, the present application will be further described in detail below with reference to the drawings and embodiments. It can be understood that the specific embodiments described here can be used to explain the present application, but do not limit the present application.
随着通信技术的发展和用户需求的增加,用户对通信质量的要求越来越高。MIMO通信系统采用发射端的多个天线各自独立发送信号,同时在接收端用多个天线接收并恢复原信息,使得信道的容量和可靠性大大提高。但由于该接收端的天线数量较多,信号的检测和译码变得较为困难。With the development of communication technology and the increase in user needs, users have higher and higher requirements for communication quality. The MIMO communication system uses multiple antennas at the transmitting end to send signals independently, and at the same time, multiple antennas at the receiving end are used to receive and restore the original information, greatly improving the capacity and reliability of the channel. However, due to the large number of antennas at the receiving end, signal detection and decoding become more difficult.
信号检测和信道译码是基带信号处理的重要研究方向。在发射端,先对信息比特进行信道编码,调制为符号。在接收端,检测和译码通常被看作为两个独立的处理模块:MIMO检测器首先从接收的信号中估计出符号,然后转化为比特的对数似然比作为软信息发送至译码器,译码算法最终恢复出信息比特。Signal detection and channel decoding are important research directions in baseband signal processing. At the transmitting end, the information bits are first channel-coded and modulated into symbols. At the receiving end, detection and decoding are usually viewed as two independent processing modules: the MIMO detector first estimates the symbols from the received signal, and then converts them into log-likelihood ratios of bits and sends them to the decoder as soft information. , the decoding algorithm finally recovers the information bits.
5G采用极化码的信道极化作为信道容量构造性逼近的一种重要途径,将极化码定为 eMBB控制信道的标准。面对下一代移动通信系统的应用场景,基带信号处理技术面临着巨大挑战。MIMO信号检测与信道译码的联合优化已经展示出了为系统带来巨大增益的可能性。对于被选为5G的eMBB控制信道的标准的极化码而言,传统的分离型和联合迭代型已无法满足高可靠、低时延的通信需求,提出一种适用于极化码编码MIMO系统的同步集合辅助的宽度优先球型译码方法具有重大意义。5G adopts the channel polarization of polar codes as an important way to structurally approximate the channel capacity. Polar codes are defined as Standard for eMBB control channel. Facing the application scenarios of next-generation mobile communication systems, baseband signal processing technology faces huge challenges. Joint optimization of MIMO signal detection and channel decoding has demonstrated the possibility of bringing huge gains to the system. For the polar code selected as the standard for the eMBB control channel of 5G, the traditional separate type and joint iterative type can no longer meet the communication requirements of high reliability and low latency. Therefore, a polar code encoding MIMO system is proposed. The synchronization set-assisted breadth-first sphere decoding method is of great significance.
在极化码编码的MIMO通信系统中,MIMO检测与极化码译码模块的工作模式可分为三种类型。第一种是分离型,将检测和译码看作为两个独立的处理模块,即为MIMO检测和极化码译码模块的简单级联,通过串行的方式处理信息,最终得到译码结果。由于分离型在检测模块未能最大化利用已知的极化码编码特性,其纠错性能离香农极限仍然具有较大差距,有巨大的提升空间。为了提升分离型的纠错性能,研究人员提出了第二种联合迭代型检测译码,通过技术手段使极化码译码模块输出软信息,并反馈至检测模块进行反复迭代,从而优化纠错性能。然而,联合迭代型的多次迭代不可避免地增加了系统的时延。In a polar code-encoded MIMO communication system, the working modes of the MIMO detection and polar code decoding modules can be divided into three types. The first is the separated type, which regards detection and decoding as two independent processing modules, that is, a simple cascade of MIMO detection and polar code decoding modules. It processes information in a serial manner and finally obtains the decoding result. . Since the separate detection module fails to maximize the use of known polar code encoding characteristics, its error correction performance is still far from the Shannon limit, and there is huge room for improvement. In order to improve the separate error correction performance, the researchers proposed a second type of joint iterative detection and decoding. Through technical means, the polar code decoding module outputs soft information and feeds it back to the detection module for repeated iterations, thereby optimizing error correction. performance. However, multiple iterations of the joint iteration type inevitably increase the system delay.
上述两种MIMO检测译码算法存在的问题如下:The problems existing in the above two MIMO detection and decoding algorithms are as follows:
检测与译码模块之间总是依赖软信息的传递,浮点型的软信息的计算和存储产生了较高的空间复杂度,对硬件资源造成了较大消耗;The detection and decoding modules always rely on the transfer of soft information. The calculation and storage of floating-point soft information results in high space complexity and a large consumption of hardware resources;
独立的检测模块未能最大化地利用已采用的信道编码的先验信息,造成了一定程度的性能损失;The independent detection module fails to maximize the use of the a priori information of the adopted channel coding, resulting in a certain degree of performance loss;
联合迭代型的检测译码的多次迭代产生较高的时间复杂度,引起系统产生较高的时延。Multiple iterations of joint iterative detection and decoding produce higher time complexity, causing the system to generate higher delays.
因此,目前出现了第三种融合型检测译码,一般采用球型译码或者K-best算法实现,通过比特枚举,最终输出与接收信息欧氏距离最小的解码路径。对于极化码编码的MIMO融合型检测译码算法,其优势在于:译码部分基于比特枚举,且译码架构与极化码编码相同,有利于节省存储资源,不存在迭代引起的时延;融合检测译码在比特枚举时可充分考虑极化编码的先验信息,如信息位与冻结位的分布,可提升检测性能,并减少原本的检测搜索空间。Therefore, there is currently a third type of fusion detection decoding, which is generally implemented using spherical decoding or K-best algorithm. Through bit enumeration, the decoding path with the smallest Euclidean distance from the received information is finally output. The advantage of the MIMO fusion detection and decoding algorithm for polar code encoding is that the decoding part is based on bit enumeration, and the decoding architecture is the same as polar code encoding, which is beneficial to saving storage resources and there is no delay caused by iteration ; Fusion detection decoding can fully consider the prior information of polar coding when enumerating bits, such as the distribution of information bits and frozen bits, which can improve detection performance and reduce the original detection search space.
然而,由于目前译码的比特枚举采用的是串行的逐比特顺序,其解码顺序是依据码字总长,按照从大到小的顺序,一位一位的求每一位的最小欧式距离,目前译码采用的逐比特枚举顺序显然不是最优,也即目前译码路径的精度较低,系统的检测性能仍有巨大的提升空间。However, since the current decoding bit enumeration uses a serial bit-by-bit order, the decoding order is based on the total length of the codeword, in order from largest to smallest, and the minimum Euclidean distance of each bit is calculated bit by bit. , the current bit-by-bit enumeration order used in decoding is obviously not optimal, that is, the accuracy of the current decoding path is low, and the detection performance of the system still has huge room for improvement.
下面,将对本申请实施例提供的译码路径确定方法所涉及到的实施环境进行简要说明。本申请实施例提供的译码路径确定方法,可以应用于如图1所示的应用环境中。如图1所示,该应用环境可以包括接收端102、发射端101。发射端101通过空时映射将要发送的数据信号映射到多个天线上发送出去,接收端102将各天线接收到的信号进行空时译码从而恢复出发射端发送的数据信号。信号通过发射端101与接收端102的天线进行传送和接收。Next, the implementation environment involved in the decoding path determination method provided by the embodiment of the present application will be briefly described. The decoding path determination method provided by the embodiment of the present application can be applied in the application environment as shown in Figure 1. As shown in Figure 1, the application environment may include a receiving end 102 and a transmitting end 101. The transmitting end 101 maps the data signal to be sent to multiple antennas through space-time mapping and sends it out. The receiving end 102 performs space-time decoding on the signals received by each antenna to recover the data signal sent by the transmitting end. Signals are transmitted and received through the antennas of the transmitting end 101 and the receiving end 102.
其中,发射端101可使用多个发射天线,接收端102可使用多个接收天线。例如:MIMO技术利用发射端101的多个天线各自独立发送信号,同时在接收端102用多个天线接收并恢复原信息,实现以更小的代价达到更高的用户速率。The transmitting end 101 can use multiple transmitting antennas, and the receiving end 102 can use multiple receiving antennas. For example, MIMO technology uses multiple antennas at the transmitter 101 to independently transmit signals, and at the same time, multiple antennas are used at the receiver 102 to receive and restore the original information, thereby achieving higher user rates at a lower cost.
其中,接收端102可以但不限于是各种个人计算机、笔记本电脑、智能手机、平板电脑、物联网设备和便携式可穿戴设备,物联网设备可为智能音箱、智能电视、智能空调、智能车载设备等。便携式可穿戴设备可为智能手表、智能手环、头戴设备等。发射端101可以用独立的发射端或者是多个发射端组成的发射端集群来实现。Among them, the receiving end 102 can be, but is not limited to, various personal computers, laptops, smart phones, tablets, Internet of Things devices, and portable wearable devices. The Internet of Things devices can be smart speakers, smart TVs, smart air conditioners, and smart vehicle-mounted devices. wait. Portable wearable devices can be smart watches, smart bracelets, head-mounted devices, etc. The transmitter 101 can be implemented as an independent transmitter or a transmitter cluster composed of multiple transmitters.
上述介绍了本申请实施例提供的译码路径确定方法的应用场景后,下面先重点介绍极 化码的编码过程。After the above has introduced the application scenarios of the decoding path determination method provided by the embodiment of the present application, the following will first focus on the extreme The coding process of decoding.
极化码是具有可实用的线性复杂度编译码能力的信道编码技术,5G通信将极化码定为增强移动宽带(Enhanced Mobile Broadband,eMBB)控制信道的标准。Polar code is a channel coding technology with practical linear complexity encoding and decoding capabilities. 5G communications set polar code as the standard for enhanced mobile broadband (Enhanced Mobile Broadband, eMBB) control channel.
其中,极化码x的编码过程为x=uG,其中u为待编码比特序列,G为极化码的生成矩阵。例如:采用多进制正交幅度调制(Multiple Quadrature Amplitude Modulation,M-QAM)对x进行调制,调制后的符号S=map{uG},其中map{}表示调制函数。符号S经过信道传输之后变为复值接收符号每个符号从具有M种可能的星座图中映射而出。Among them, the encoding process of polar code x is x=uG, where u is the bit sequence to be encoded, and G is the generating matrix of the polar code. For example: Multiple Quadrature Amplitude Modulation (M-QAM) is used to modulate x. The modulated symbol S=map{uG}, where map{} represents the modulation function. After the symbol S is transmitted through the channel, it becomes a complex-valued received symbol. each symbol It is mapped from M possible constellation diagrams.
对于具有Nt个发送天线和Nr个接收天线的MIMO系统,将接收的信息表示为其中为Nr×Nt的复信道矩阵,为高斯白噪声。使用最大似然检测(Maximum Likelihood,ML)方法估计拥有最小欧式距离的符号: For a MIMO system with Nt transmit antennas and Nr receive antennas, the received information is expressed as in is the complex channel matrix of Nr×Nt, is Gaussian white noise. Use the Maximum Likelihood (ML) method to estimate the symbol with the smallest Euclidean distance:
通过实值分解,等效信道模型为:y=Hs+n,其中H为2Nr×2Nt的实域信道矩阵。实值化后的S长度为2Nt。对于信道矩阵H进行正交三角(QR)分解:H=QR,其中Q表示2Nr×2Nt正规正交矩阵(酉矩阵),R是2Nr×2Nt上三角矩阵。令z=QHy,使用ML检测方法估计拥有最小欧式距离的符号,该符号可表示:根据s=map{uG},该符号可进一步写为:由于极化码球型译码的公式为该公式与使用ML检测方法得到的公式结构一样(y替换z,G替换R,u替换s,其中G、R都是三角矩阵),因此ML检测与极化码球型译码、K-best检测与列表式球型译码存在一定的相似性。其中,K-best检测与列表式球型译码分别是ML检测与极化码球型译码保留拥有最小欧式距离的K条译码路径得到的。Through real-valued decomposition, the equivalent channel model is: y=Hs+n, where H is a 2Nr×2Nt real-domain channel matrix. The length of S after real-valuation is 2Nt. Perform orthogonal triangular (QR) decomposition for the channel matrix H: H=QR, where Q represents a 2Nr×2Nt regular orthogonal matrix (unitary matrix), and R is a 2Nr×2Nt upper triangular matrix. Let z=Q H y, use ML detection method to estimate the symbol with the minimum Euclidean distance, which can be expressed as: According to s=map{uG}, this notation can be further written as: Since the formula of polar code spherical decoding is This formula has the same structure as the formula obtained using the ML detection method (y replaces z, G replaces R, u replaces s, where G and R are both triangular matrices), so ML detection is the same as polar code spherical decoding, K-best There are certain similarities between detection and list-based ball decoding. Among them, K-best detection and list-based spherical decoding are obtained by ML detection and polar code spherical decoding respectively by retaining K decoding paths with the minimum Euclidean distance.
经过以上过程,MIMO系统检测和译码就被融合成了一个过程,然后根据极化码生成矩阵构建基于符号的等价有向图;根据等价有向图,获取至少两个初始符号同步集合;根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合;最后,接收端可以基于上述优化后的符号同步集合确定目标译码路径。After the above process, MIMO system detection and decoding are integrated into one process, and then a symbol-based equivalent directed graph is constructed according to the polar code generation matrix; based on the equivalent directed graph, at least two initial symbol synchronization sets are obtained ; According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set; finally, the receiving end can be based on the above optimized symbol synchronization set Determine the target decoding path.
在一个实施例中,如图2所示,提供了一种译码路径确定方法,以该方法应用于图1中的接收端为例进行说明,包括以下步骤:In one embodiment, as shown in Figure 2, a decoding path determination method is provided. This method is explained by taking the method applied to the receiving end in Figure 1 as an example, and includes the following steps:
S201、根据极化码生成矩阵构建基于符号的等价有向图。S201. Construct a symbol-based equivalent directed graph according to the polar code generation matrix.
其中,极化码生成矩阵可以为前述场景介绍中的极化码的生成矩阵G,等价有向图是以符号为节点、以符号之间的连接关系为边构成的有向图。Among them, the polar code generation matrix can be the polar code generation matrix G in the aforementioned scenario introduction, and the equivalent directed graph is a directed graph composed of symbols as nodes and connection relationships between symbols as edges.
在本申请实施例中,可以基于预设的映射规则对极化码生成矩阵进行分析,以构建等价有向图。例如:可以按照以下方式构建基于符号的等价有向图:构建从极化码生成矩阵 到等价有向图的映射规则;根据映射规则,映射出基于比特的等价有向图;将至少两个比特看做一个符号,得到符号的等价有向图。In this embodiment of the present application, the polar code generation matrix can be analyzed based on preset mapping rules to construct an equivalent directed graph. For example: the symbol-based equivalent directed graph can be constructed as follows: Constructing the generation matrix from polar codes Mapping rules to equivalent directed graphs; according to the mapping rules, an equivalent directed graph based on bits is mapped; treating at least two bits as a symbol, an equivalent directed graph of the symbol is obtained.
其中,从极化码生成矩阵到等价有向图的映射规则如下:N个比特在符号的等价有向图中对应了N个节点;如果极化码生成矩阵G中的第i行第j列的元素g(i,j)=1且满足i>j,i∈A,那么在等价有向图中,节点i就有一条有向边指向节点j。Among them, the mapping rules from the polar code generation matrix to the equivalent directed graph are as follows: N bits correspond to N nodes in the equivalent directed graph of the symbol; if the i-th row in the polar code generation matrix G The element g (i,j) of column j = 1 and satisfies i>j,i∈A, then in the equivalent directed graph, node i has a directed edge pointing to node j.
可选的,定义冻结位的比特为冻结比特,定义其他类型的比特为信息比特。有向边可以由信息比特指向冻结比特。图3给出了对于码长为8,信息位为3,信息位集合为{6,7,8}的极化码生成矩阵映射而出的等价有向图。例如,有向边只能由信息比特6、7和8发出且指向冻结比特1、2、3、4和5,且满足极化码生成矩阵G中的第i行第j列的元素g(i,j)=1时,在信息比特和冻结比特之间会存在有向边。例如图3中,存在信息比特6指向冻结比特1,那么说明极化码生成矩阵G中的第6行第1列的元素g(6,1)=1;存在信息比特8指向冻结比特4,那么说明极化码生成矩阵G中的第8行第4列的元素g(8,4)=1。Optionally, define frozen bits as frozen bits and define other types of bits as information bits. Directed edges can lead from information bits to frozen bits. Figure 3 shows the equivalent directed graph mapped by the polar code generation matrix for a code length of 8, information bits of 3, and information bit set {6,7,8}. For example, the directed edge can only be sent by information bits 6, 7 and 8 and point to frozen bits 1, 2, 3, 4 and 5, and satisfies the element g of the i-th row and j-th column in the polar code generation matrix G ( When i,j) =1, there will be a directed edge between the information bit and the frozen bit. For example, in Figure 3, there is information bit 6 pointing to frozen bit 1, which means that the element g (6,1) in row 6 and column 1 of the polar code generation matrix G = 1; there is information bit 8 pointing to frozen bit 4, Then it means that the element g (8,4) = 1 in the 8th row and 4th column of the polar code generation matrix G.
可选的,对于M-QAM调制,设M=2m。经过实值分解后,一个符号对应m/2个比特。例如,对于16-QAM调制,一个符号对应2个比特,即将相邻的两个比特看做一个整体,将边的起点和终点修正为符号,删除重复的边,删除产生自环的边,即可得到基于符号的等价有向图。Optionally, for M-QAM modulation, set M=2 m . After real-valued decomposition, one symbol corresponds to m/2 bits. For example, for 16-QAM modulation, one symbol corresponds to 2 bits, that is, the two adjacent bits are regarded as a whole, the starting point and end point of the edge are corrected into symbols, duplicate edges are deleted, and edges that generate self-loops are deleted, that is, Equivalent directed graphs based on symbols can be obtained.
S202、根据等价有向图,获取至少两个初始符号同步集合。S202. Obtain at least two initial symbol synchronization sets according to the equivalent directed graph.
其中,初始符号同步集合中可以包括信息符号和冻结符号。将包含的比特全部为冻结位的符号定义为冻结符号,将其他类型的符号定义为信息符号。The initial symbol synchronization set may include information symbols and frozen symbols. A symbol containing all frozen bits is defined as a frozen symbol, and other types of symbols are defined as information symbols.
在本实施例中,可以对等价有向图进行拆解,将等价有向图中的符号之间的边去掉,将有一定关系的符号放在同一个集合中,生成初始符号同步集合。例如,针对等价有向图中的信息符号A,可以将从信息符号A出发的边删掉,然后检查与信息符号A连接的冻结符号B,在与信息符号A连接的冻结符号的入度为0的条件下,将该信息符号A和该信息符号B放在同一个集合中。可以按照以上方法遍历等价有向图中的所有符号,将所有符号归类到各集合中,最终得到多个初始符号同步集合。In this embodiment, the equivalent directed graph can be disassembled, the edges between the symbols in the equivalent directed graph can be removed, and symbols with a certain relationship can be placed in the same set to generate an initial symbol synchronization set. . For example, for the information symbol A in the equivalent directed graph, you can delete the edge starting from the information symbol A, and then check the frozen symbol B connected to the information symbol A. At the in-degree of the frozen symbol connected to the information symbol A, Under the condition that is 0, put the information symbol A and the information symbol B in the same set. You can follow the above method to traverse all symbols in the equivalent directed graph, classify all symbols into each set, and finally obtain multiple initial symbol synchronization sets.
例如,从最后一个信息比特开始,去掉通过其出发的边,检查所有的冻结符号,在冻结比特的入度为0的条件下,该信息比特和冻结比特将会放在同一个集合中,该集合被称为初始比特同步集合,同一个比特同步集合中比特的欧氏距离将会同步被计算出来。依次遍历所有信息比特,得到该极化码生成矩阵对应的等价有向图的所有初始比特同步集合。For example, starting from the last information bit, remove the edges passing through it, and check all frozen symbols. Under the condition that the in-degree of the frozen bit is 0, the information bit and the frozen bit will be placed in the same set. The set is called the initial bit synchronization set, and the Euclidean distance of the bits in the same bit synchronization set will be calculated simultaneously. All information bits are traversed in sequence to obtain all initial bit synchronization sets of the equivalent directed graph corresponding to the polar code generation matrix.
S203、根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合。S203. Optimize each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set.
其中,预设集合可以为各初始符号同步集合中的任一集合,例如,至少两个初始符号同步集合中可以包括初始符号同步集合1、初始符号同步集合2、初始符号同步集合3,在对初始符号同步集合1进行优化的条件下,则预设集合可以为初始符号同步集合2或初始符号同步集合3。The preset set may be any of the initial symbol synchronization sets. For example, the at least two initial symbol synchronization sets may include initial symbol synchronization set 1, initial symbol synchronization set 2, and initial symbol synchronization set 3. Under the condition that the initial symbol synchronization set 1 is optimized, the preset set may be the initial symbol synchronization set 2 or the initial symbol synchronization set 3.
在本实施例中,可以根据初始符号同步集合中的冻结符号和预设集合中的信息符号预设集合中的信息符号之间的依赖关系,对各初始符号同步集合进行优化,例如,按照集合的枚举顺序,初始符号同步集合在预设集合之前,在预设集合中的信息符号会影响初始符号同步集合中的冻结符号取值的条件下,该初始符号同步集合中的冻结符号不可以出现在当前的初始符号同步集合中,该冻结符合可以放在预设集合中,也可以放在当前的初始符 号同步集合的枚举顺序之后的初始符号同步集合中。可以按照上述方式对各个初始符号同步集合进行优化,使得每个符号同步集合中的符号的位置比较准确,从而得到优化后的符号同步集合。In this embodiment, each initial symbol synchronization set can be optimized according to the dependency relationship between the frozen symbols in the initial symbol synchronization set and the information symbols in the preset set. For example, according to the set In the enumeration order, the initial symbol synchronization set is before the preset set. Under the condition that the information symbols in the preset set will affect the value of the frozen symbols in the initial symbol synchronization set, the frozen symbols in the initial symbol synchronization set cannot Appears in the current initial symbol synchronization set. The frozen symbol can be placed in the preset set or in the current initial symbol synchronization set. The initial symbol sync set follows the enumeration order of the number sync set. Each initial symbol synchronization set can be optimized in the above manner, so that the position of the symbols in each symbol synchronization set is relatively accurate, thereby obtaining an optimized symbol synchronization set.
S204、根据优化后的符号同步集合确定目标译码路径。S204. Determine the target decoding path according to the optimized symbol synchronization set.
在本实施例中,可以按照集合枚举顺序以及各个优化后的符号同步集合中的各符号的枚举顺序,枚举每个优化后的符号同步集合中每个符号的欧式距离,从而根据每个优化后的符号同步集合中每个符号的欧式距离确定目标译码路径。例如,当包括优化后的符号同步集合1和优化后的符号同步集合2时,可以先计算优化后的符号同步集合1中的每个符号的欧式距离,然后再计算优化后的符号同步集合2中的每个符号的欧式距离,在根据上述计算得到的所有欧式距离确定出目标译码路径。或者,也可以从优化后的符号同步集合1中的每个符号的欧式距离选择出K1个最小的欧式距离,从优化后的符号同步集合2中的每个符号的欧式距离中选择出K2个最小的欧式距离,根据K1个最小的欧式距离和K2个最小的欧式距离确定出目标译码路径。In this embodiment, the Euclidean distance of each symbol in each optimized symbol synchronization set can be enumerated according to the set enumeration order and the enumeration order of each symbol in each optimized symbol synchronization set, so that according to each The Euclidean distance of each symbol in the optimized symbol synchronization set determines the target decoding path. For example, when the optimized symbol synchronization set 1 and the optimized symbol synchronization set 2 are included, the Euclidean distance of each symbol in the optimized symbol synchronization set 1 can be calculated first, and then the optimized symbol synchronization set 2 can be calculated The Euclidean distance of each symbol in , the target decoding path is determined based on all the Euclidean distances calculated above. Alternatively, K1 minimum Euclidean distances can be selected from the Euclidean distances of each symbol in the optimized symbol synchronization set 1, and K2 minimum Euclidean distances can be selected from the Euclidean distances of each symbol in the optimized symbol synchronization set 2. The smallest Euclidean distance determines the target decoding path based on the K1 smallest Euclidean distances and the K2 smallest Euclidean distances.
本申请实施例提供的译码路径确定方法,根据极化码生成矩阵构建基于符号的等价有向图,根据等价有向图,获取至少两个初始符号同步集合,根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合,根据优化后的符号同步集合确定目标译码路径。本申请实施例中,基于等价有向图,将符号归类为集合,基于集合确定译码路径,使得符号的枚举顺序更加的优化,在每个译码层级的路径评估变得更加精确,并且,对于初始符号同步集合进行优化,使得优化后的符号同步集合中的各符合的枚举顺序进一步的被优化,那么最终得到的目标译码路径也更加精确。The decoding path determination method provided by the embodiment of the present application constructs a symbol-based equivalent directed graph according to the polar code generation matrix, obtains at least two initial symbol synchronization sets based on the equivalent directed graph, and obtains at least two initial symbol synchronization sets based on each initial symbol synchronization set. The frozen symbols in and the information symbols in the preset set are optimized for each initial symbol synchronization set to obtain an optimized symbol synchronization set, and the target decoding path is determined based on the optimized symbol synchronization set. In the embodiment of this application, symbols are classified into sets based on equivalent directed graphs, and the decoding path is determined based on the sets, so that the enumeration order of symbols is more optimized, and the path evaluation at each decoding level becomes more accurate. , and the initial symbol synchronization set is optimized so that the corresponding enumeration order in the optimized symbol synchronization set is further optimized, so that the final target decoding path is more accurate.
在图2所示实施例的基础上,可以对等价有向图中的边进行删减后,根据冻结符号的入度来确定初始符号同步集合,步骤S202“根据等价有向图,获取至少两个初始符号同步集合”可以包括以下步骤:根据等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定初始符号同步集合;目标边为以信号符号出发的边。Based on the embodiment shown in Figure 2, after deleting the edges in the equivalent directed graph, the initial symbol synchronization set can be determined according to the in-degree of the frozen symbol. Step S202 "According to the equivalent directed graph, obtain "At least two initial symbol synchronization sets" may include the following steps: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of each information symbol, determine the initial symbol synchronization set according to the in-degree of the frozen symbol; The target edge is the edge starting from the semaphore symbol.
其中,冻结符号的入度指进入该冻结符号有向边的数量。Among them, the in-degree of the frozen symbol refers to the number of directed edges entering the frozen symbol.
在本实施例中,等价有向图中的各个符号存在一定的枚举顺序,可以基于枚举顺序,对各信息符号上以其出发的边删除,然后查看与该信息符号连接的冻结符号的入度,在该冻结符号的入度为0的条件下,将该信息符号和该冻结符号放在一个初始符号同步集合中,按照枚举顺序参照上述方式遍历每个信息符号和冻结符号,最终得到各初始符号同步集合。In this embodiment, each symbol in the equivalent directed graph has a certain enumeration order. Based on the enumeration order, the edge starting from each information symbol can be deleted, and then the frozen symbols connected to the information symbol can be viewed. Under the condition that the in-degree of the frozen symbol is 0, put the information symbol and the frozen symbol in an initial symbol synchronization set, and traverse each information symbol and frozen symbol in the enumeration order with reference to the above method, Finally, each initial symbol synchronization set is obtained.
可选地,如图4,上述获取初始符号同步集合的过程可以包括以下步骤:Optionally, as shown in Figure 4, the above process of obtaining the initial symbol synchronization set may include the following steps:
S401、执行归类操作;其中,归类操作包括:根据等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,则将当前信息符号和目标冻结符号归类到同一个集合中。S401. Perform a classification operation; wherein the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the deletion of the target edge connected to the current information symbol. The in-degree of the target freeze symbol, under the condition that the in-degree of the target freeze signal is zero, then the current information symbol and the target freeze symbol are classified into the same set.
S402、根据枚举顺序,将与当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行归类操作,直至所有的符号均归类到集合中,得到各初始符号同步集合。S402. According to the enumeration sequence, determine the next information symbol adjacent to the current information symbol as the new current information symbol, and return to perform the classification operation until all symbols are classified into the set, and each initial symbol synchronization is obtained. gather.
请参考图5上半部分,其示出了本申请实施例提供的初步符号等价有向图。如图5上半部分所示,对于16-QAM调制,一个符号对应2个比特,即将相邻的两个比特看做一个整体,也即,根据比特枚举的逐比特序列将相邻的两个比特看做是一个符号。例如,可以将比特1和比特2看成符号b1,也可以将比特3和比特4看成符号b2,需要说明的是,不可以将比特8和比特1看成一个符号,因为它们不符合比特枚举的逐比特序列。 Please refer to the upper part of Figure 5 , which shows a preliminary symbolic equivalent directed graph provided by the embodiment of the present application. As shown in the upper part of Figure 5, for 16-QAM modulation, one symbol corresponds to 2 bits, that is, the two adjacent bits are regarded as a whole, that is, the two adjacent bits are regarded as a whole according to the bit-by-bit sequence of bit enumeration. A bit is regarded as a symbol. For example, bit 1 and bit 2 can be regarded as the symbol b1, and bit 3 and bit 4 can be regarded as the symbol b2. It should be noted that bit 8 and bit 1 cannot be regarded as one symbol because they do not conform to the bit Bit-by-bit sequence of the enumeration.
可选的,从最后一个信息符号b4开始,与b4连接的冻结符号为b1和b2,删除以符号b4出发的边,然后检查冻结符号b1和b2的入度,其中,冻结符号b2的入度为零,那么信息符号b4与该冻结符号b2放在同一个初始同步集合中。接下来在按照上述方法检查其他的信息符号,得到初始同步集合。如图5上半部分所示,最后一个信息符号b4与冻结符号b2在同一个初始同步集合T1’={b4,b2}中。信息符号b3与冻结符号b1在同一个初始同步集合T2’={b3,b1}中。Optionally, starting from the last information symbol b4, the frozen symbols connected to b4 are b1 and b2, delete the edge starting from symbol b4, and then check the in-degree of frozen symbols b1 and b2, where the in-degree of frozen symbol b2 is zero, then the information symbol b4 and the frozen symbol b2 are placed in the same initial synchronization set. Next, check other information symbols according to the above method to obtain the initial synchronization set. As shown in the upper part of Figure 5, the last information symbol b4 and the frozen symbol b2 are in the same initial synchronization set T1'={b4, b2}. The information symbol b3 and the frozen symbol b1 are in the same initial synchronization set T2'={b3, b1}.
可选的,根据各初始符号同步集合,确定初始符号同步集合的枚举顺序。例如,如图5上半部分所示,初始符号同步集合的枚举顺序为T1’>>T2’。Optionally, the enumeration order of the initial symbol synchronization sets is determined according to each initial symbol synchronization set. For example, as shown in the upper part of Figure 5, the enumeration order of the initial symbol synchronization set is T1’>>T2’.
本申请实施例提供的各初始符号同步集合,根据等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定初始符号同步集合。本申请实施例中,基于冻结符号的入度确定初始符号同步集合,将串行的逐比特枚举序列转换为初始符号同步集合,由于同一个初始符号同步集合中的所有符号的欧式距离可以同时计算,不需要在对每个初始同步集合中的符号按照枚举顺手逐一计算其欧氏距离,使得符号的枚举顺序更加优化,也进一步加快了译码效率。Each initial symbol synchronization set provided by the embodiment of this application is based on the enumeration order of each symbol in the equivalent directed graph. After deleting the target edge of each information symbol, the initial symbol synchronization set is determined based on the in-degree of the frozen symbol. In the embodiment of this application, the initial symbol synchronization set is determined based on the in-degree of the frozen symbol, and the serial bit-by-bit enumeration sequence is converted into the initial symbol synchronization set. Since the Euclidean distances of all symbols in the same initial symbol synchronization set can be simultaneously There is no need to calculate the Euclidean distance of each symbol in the initial synchronization set one by one according to the enumeration, which makes the enumeration order of symbols more optimized and further speeds up the decoding efficiency.
在一个实施例中,为了进一步的提高译码路径的精确度,还可以对初始符号同步集合中的符号进行优化,如图6,步骤S203可以包括以下步骤:In one embodiment, in order to further improve the accuracy of the decoding path, the symbols in the initial symbol synchronization set can also be optimized. As shown in Figure 6, step S203 can include the following steps:
S601、获取当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;当前符号同步集合为至少两个初始符号同步集合中的任一个。S601. Obtain the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets.
在本实施例中,当前符号同步集合中的每个符号都有序号,例如,当前符号同步集合为上述图5中的初始同步集合T1’={b4,b2},其中,b2为冻结符号,则冻结符号b2的第一序号为2。预设集合可以为除了当前符号同步集合之外的其他集合,例如,在本申请中,预设集合可以为图5中的初始同步集合T2’={b3,b1},信息符号为b3,则该信息符号的第二序号为3。本申请实施例中仅以此为例说明,并不是对本方案的限制。In this embodiment, each symbol in the current symbol synchronization set has a sequence number. For example, the current symbol synchronization set is the initial synchronization set T1'={b4, b2} in Figure 5 above, where b2 is a frozen symbol, Then the first sequence number of frozen symbol b2 is 2. The preset set can be other sets besides the current symbol synchronization set. For example, in this application, the preset set can be the initial synchronization set T2'={b3, b1} in Figure 5, and the information symbol is b3, then The second sequence number of this information symbol is 3. The embodiments of this application are only used as examples for illustration, and are not intended to limit this solution.
S602、根据第一序号、第二序号和信道矩阵对应的上三角矩阵,对当前符号同步集合进行优化,得到优化后的符号同步集合。S602: Optimize the current symbol synchronization set according to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, and obtain an optimized symbol synchronization set.
在本实施例中,上三角矩阵可以上述前景介绍的矩阵R。可以将第一序号、第二序号视为矩阵R中的元素的索引,从而根据第一序号、第二序号从矩阵R中定位元素的值,根据该元素的值对当前符号同步集合进行优化,得到优化后的符号同步集合。In this embodiment, the upper triangular matrix can be the matrix R introduced in the foreground. The first serial number and the second serial number can be regarded as the index of the elements in the matrix R, so that the value of the element is located from the matrix R according to the first serial number and the second serial number, and the current symbol synchronization set is optimized according to the value of the element. Obtain the optimized symbol synchronization set.
可选地,如图7所示,步骤S602可以包括以下步骤:Optionally, as shown in Figure 7, step S602 may include the following steps:
S701、以第一序号为行、以第二序号为列,从上三角矩阵中确定目标元素的值。S701. Using the first serial number as the row and the second serial number as the column, determine the value of the target element from the upper triangular matrix.
在本实施例中,继续以当前符号同步集合为上述图5中的初始同步集合T1’={b4,b2},预设集合为图5中的初始同步集合T2’={b3,b1}为例,T1’={b4,b2}中的冻结符号为b2,T2’={b3,b1}中的信息符号为b3,则第一序号为2,第二符号为3,那么以2为行、以3为列,在上三角矩阵R中查找元素r(2,3)的值作为目标元素的值。In this embodiment, the current symbol synchronization set is continued to be the initial synchronization set T1'={b4, b2} in Figure 5, and the default set is the initial synchronization set T2'={b3, b1} in Figure 5. For example, the frozen symbol in T1'={b4,b2} is b2, and the information symbol in T2'={b3,b1} is b3, then the first serial number is 2 and the second symbol is 3, then 2 is the row , with 3 as the column, find the value of element r(2,3) in the upper triangular matrix R as the value of the target element.
S702、在第二序号大于第一序号,且目标元素的值不为零的条件下,将冻结符号从当前符号同步集合中删除,并将冻结符号添加至目标符号同步集合中;目标符号同步集合中的信息符号的第三序号小于第一序号,且第一序号和第三序号对应的上三角矩阵中的元素的值不为零;或者,目标符号同步集合为预设集合。S702. Under the condition that the second sequence number is greater than the first sequence number and the value of the target element is not zero, delete the frozen symbol from the current symbol synchronization set, and add the frozen symbol to the target symbol synchronization set; the target symbol synchronization set The third sequence number of the information symbol in is less than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or, the target symbol synchronization set is a preset set.
请参考图5下半部分,其示出了本申请实施例提供的改进的符号等价有向图。如图5下半部分所示,对于第一个初始符号同步集合T1’={b4,b2}中的冻结符号b2,找到一个预设集合k,其中信息符号bi∈k,如果i>2,且满足R矩阵中第2行第i列的元素r(2,i)≠0,那么b2一定不可能在bi之前,也就是说b2要么和bi在同一个集合中,b2要么在bi的后面一个集合中,由于目标符号同步集合包括两个T1’和T2’,因此b2一定在T2’集合中。继续以当前符号同步集合为上述图5中的初始同步集合T1’={b4,b2},预设集合 为图5中的初始同步集合T2’={b3,b1}为例,T1’={b4,b2}中的冻结符号为b2,T2’={b3,b1}中的信息符号为b3,则第一序号为2,第二符号为3,第二序号3大于第一序号2,且上三角矩阵R中第二行第三列的元素r(2,3)不为零,将当前符号同步集合T1’={b4,b2}中的冻结符号b2从该符号同步集合中删除,并将冻结符号b2添加至目标符号同步集合中,由于目标符号同步集合包括两个T1’和T2’,因此b2一定在T2’集合中。Please refer to the lower part of FIG. 5 , which shows an improved signed equivalent directed graph provided by the embodiment of the present application. As shown in the lower part of Figure 5, for the frozen symbol b2 in the first initial symbol synchronization set T1'={b4,b2}, find a preset set k, in which the information symbol bi∈k, if i>2, And if the element r(2,i)≠0 in row 2 and column i of the R matrix is satisfied, then b2 must not be before bi. That is to say, b2 is either in the same set as bi, or b2 is after bi. In a set, since the target symbol synchronization set includes two T1' and T2', b2 must be in the T2' set. Continue to use the current symbol synchronization set as the initial synchronization set T1'={b4, b2} in Figure 5 above, the default set Taking the initial synchronization set T2'={b3,b1} in Figure 5 as an example, the frozen symbol in T1'={b4,b2} is b2, and the information symbol in T2'={b3,b1} is b3, then The first sequence number is 2, the second symbol is 3, the second sequence number 3 is greater than the first sequence number 2, and the element r(2,3) in the second row and third column of the upper triangular matrix R is not zero, synchronize the current symbol The frozen symbol b2 in the set T1'={b4,b2} is deleted from the symbol synchronization set, and the frozen symbol b2 is added to the target symbol synchronization set. Since the target symbol synchronization set includes two T1' and T2', therefore b2 must be in the T2' set.
可选的,如图5所示,得到改进后的符号同步集合T1={b4}和T2={b3,b2,b1},然后根据改进后的符号同步集合,确定改进后的符号同步集合的枚举顺序。例如,如图5下半部分所示,初始符号同步集合的枚举顺序为T1>>T2。Optionally, as shown in Figure 5, the improved symbol synchronization set T1={b4} and T2={b3, b2, b1} are obtained, and then the improved symbol synchronization set is determined based on the improved symbol synchronization set. Enumeration order. For example, as shown in the lower part of Figure 5, the enumeration order of the initial symbol synchronization set is T1>>T2.
本实施例提供的各初始符号同步集合,根据当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;根据第一序号、第二序号和信道矩阵对应的上三角矩阵,对当前符号同步集合进行优化,得到优化后的符号同步集合。本申请实施例中,基于各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合,使得各符号可以归类在正确的符号同步集合,避免了由于符号的位置错误而影响欧氏距离的计算,使得各符号同步集合中的符号的枚举顺序更加准确,那么最终的得到的目标译码路径也更加精确。Each initial symbol synchronization set provided in this embodiment is based on the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; according to the first sequence number, the second sequence number and the channel matrix corresponding The upper triangular matrix optimizes the current symbol synchronization set to obtain the optimized symbol synchronization set. In the embodiment of the present application, based on the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, each initial symbol synchronization set is optimized to obtain an optimized symbol synchronization set, so that each symbol can be classified in the correct The symbol synchronization set avoids the influence of the Euclidean distance calculation due to symbol position errors, making the enumeration order of symbols in each symbol synchronization set more accurate, and the final target decoding path is also more accurate.
在一个实施例中,获取到优化后的符号同步集合,可以基于优化后的符号同步集合中的符号的欧式距离确定目标译码路径。如图8所示,步骤S204可以包括以下步骤:In one embodiment, after the optimized symbol synchronization set is obtained, the target decoding path can be determined based on the Euclidean distance of the symbols in the optimized symbol synchronization set. As shown in Figure 8, step S204 may include the following steps:
S801、根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离。S801. According to the enumeration order of each optimized symbol synchronization set, obtain the Euclidean distance of each information symbol in each optimized symbol synchronization set.
在本实施例中,各信息符号的欧式距离可以根据公式计算得出,在该公式中,u为每个符号中的两个比特对应的比特序列。In this embodiment, the Euclidean distance of each information symbol can be calculated according to the formula It is calculated that in this formula, u is the bit sequence corresponding to the two bits in each symbol.
S802、根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。S802. Determine the target decoding path according to the Euclidean distance of each information symbol in each optimized symbol synchronization set.
其中,由于每个信息符号可能存在多个欧式距离,因此,优化后的符号同步集合的欧式距离与各信息符号的欧式距离相关,冻结符号的欧氏距离对优化后的符号同步集合的欧式距离没有影响。Among them, since each information symbol may have multiple Euclidean distances, the Euclidean distance of the optimized symbol synchronization set is related to the Euclidean distance of each information symbol, and the Euclidean distance of the frozen symbol is related to the Euclidean distance of the optimized symbol synchronization set. No effect.
示例性的,可以先计算出每个优化后的符号同步集合中的各个信息符号的欧式距离,再将每个优化后的符号同步集合中的各个信息符号的欧式距离相互进行组合,最终确定出目标译码路径。或者,也可以按照符号同步集合的枚举顺序,依次计算出各优化后的符号同步集合中的信息符号的欧式距离,针对每个符号确定N个优化后的的欧式距离,根据各优化后的符号同步集合中各信息符号的N个优化后的的欧式距离确定目标译码路径。或者,还可以在也可以按照符号同步集合的枚举顺序,依次计算出各优化后的符号同步集合中的信息符号的欧式距离,针对每个优化后的符号同步集合,根据其中符号的欧式距离确定该每个优化后的符号同步集合的欧式距离,在根据各优化后的符号同步集合的欧式距离确定译码路径。For example, the Euclidean distance of each information symbol in each optimized symbol synchronization set can be calculated first, and then the Euclidean distance of each information symbol in each optimized symbol synchronization set can be combined with each other to finally determine Target decoding path. Alternatively, the Euclidean distances of the information symbols in each optimized symbol synchronization set can be calculated sequentially according to the enumeration order of the symbol synchronization sets, and N optimized Euclidean distances are determined for each symbol. The target decoding path is determined by the N optimized Euclidean distances of each information symbol in the symbol synchronization set. Alternatively, you can also calculate the Euclidean distance of the information symbols in each optimized symbol synchronization set in sequence according to the enumeration order of the symbol synchronization sets. For each optimized symbol synchronization set, according to the Euclidean distance of the symbols in it, The Euclidean distance of each optimized symbol synchronization set is determined, and the decoding path is determined based on the Euclidean distance of each optimized symbol synchronization set.
可选地,如图9,步骤S802可以包括以下步骤:Optionally, as shown in Figure 9, step S802 may include the following steps:
S901、根据各优化后的符号同步集合中各信息符号的欧式距离,针对各优化后的符号同步集合均确定预设数量的候选译码路径。S901. According to the Euclidean distance of each information symbol in each optimized symbol synchronization set, determine a preset number of candidate decoding paths for each optimized symbol synchronization set.
在本实施例中,预设数量的候选译码路径可以是各优化后的符号同步集合中各信息符号的欧式距离对应的全部译码路径,也可以是各优化后的符号同步集合中各信息符号的欧式距离中距离最小的K条。In this embodiment, the preset number of candidate decoding paths may be all decoding paths corresponding to the Euclidean distance of each information symbol in each optimized symbol synchronization set, or may be each information symbol in each optimized symbol synchronization set. The K bars with the smallest distance among the Euclidean distances of the symbols.
S902、根据各优化后的符号同步集合对应的候选译码路径,确定目标译码路径。S902. Determine the target decoding path according to the candidate decoding paths corresponding to each optimized symbol synchronization set.
具体的,例如,假设有改进的符号同步集合T1和T2,先对改进的符号同步集合T1 计算其欧式距离,保留K1条最好的路径(即为欧式距离最小的路径),再对集合T2计算其欧式距离,保留K2条最好的路径,累加集合T1的K1条最好的路径和集合T2的K2条最好的路径,共K1×K2条路径,再从K1×K2条路径中保留其中K3条欧氏距离最小的路径作为目标译码路径。Specifically, for example, assuming that there are improved symbol synchronization sets T1 and T2, first the improved symbol synchronization set T1 Calculate its Euclidean distance, retain the K1 best paths (that is, the paths with the smallest Euclidean distance), then calculate the Euclidean distance for the set T2, retain the K2 best paths, and accumulate the sum of the K1 best paths of the set T1 Set the K2 best paths of T2, a total of K1×K2 paths, and then retain the K3 paths with the smallest Euclidean distance from the K1×K2 paths as the target decoding path.
本实施例提供的目标译码路径,根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离;根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。本申请实施例中,由于对符号同步集合中的符号进一步优化,使得符号的枚举顺序更加的准确,在每个译码层级的路径评估变得更加精确,那么最终得到的目标译码路径也更加精确。The target decoding path provided by this embodiment obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to each information in each optimized symbol synchronization set The Euclidean distance of symbols determines the target decoding path. In the embodiment of the present application, due to the further optimization of the symbols in the symbol synchronization set, the enumeration order of the symbols is more accurate, the path evaluation at each decoding level becomes more accurate, and the final target decoding path is also More precise.
图10为本申请实施例提供的一种译码路径确定方法的流程图,如图9所示,该方法可以包括以下步骤:Figure 10 is a flow chart of a decoding path determination method provided by an embodiment of the present application. As shown in Figure 9, the method may include the following steps:
S1001、构建从极化码生成矩阵到等价有向图的映射规则。S1001. Construct a mapping rule from the polar code generation matrix to the equivalent directed graph.
其中,该映射规则包括:N个比特在有向图中对应了N个节点;Among them, the mapping rules include: N bits correspond to N nodes in the directed graph;
如果极化码生成矩阵的第i行第j列的元素g(i,j)=1且满足i>j,i∈A,那么在等价有向图中,节点i就有一条有向边指向节点j。If the element g (i,j) of the i-th row and j-th column of the polar code generation matrix = 1 and satisfies i>j,i∈A, then in the equivalent directed graph, node i has a directed edge Point to node j.
S1002、基于映射规则和极化码生成矩阵构建基于比特节点的等价有向图。S1002. Construct an equivalent directed graph based on bit nodes based on the mapping rules and polar code generation matrix.
S1003、基于比特的等价有向图,将连续的比特映射为符号,将边的起点和终点修正为符号,删除重复的边,删除产生自环的边,即可得到基于符号的等价有向图。S1003. Equivalent directed graph based on bits. Map continuous bits into symbols, correct the starting point and end point of the edges into symbols, delete duplicate edges, and delete edges that generate self-loops. Then you can obtain equivalent directed graphs based on symbols. to the graph.
S1004、根据等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,将当前信息符号和目标冻结符号归类到同一个集合中;S1004. According to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtain the in-degree of the target frozen symbol connected to the current information symbol after deleting the target edge. In the target frozen signal Under the condition that the in-degree is zero, the current information symbol and the target frozen symbol are classified into the same set;
S1005、根据枚举顺序,将与当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行对新的当前信息符号的目标边进行删除后,获取删除目标边后与新的当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,将新的当前信息符号和目标冻结符号归类到同一个集合中的步骤,直至所有的符号均归类的集合中,得到各初始符号同步集合。S1005. According to the enumeration sequence, determine the next information symbol adjacent to the current information symbol as the new current information symbol, and return to execute the deletion of the target edge of the new current information symbol, and obtain the deleted target edge and the new The in-degree of the target frozen symbol connected to the current information symbol, under the condition that the in-degree of the target frozen signal is zero, the step of classifying the new current information symbol and the target frozen symbol into the same set until all symbols From the sets that are all classified, each initial symbol synchronization set is obtained.
S1006、获取当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;当前符号同步集合为至少两个初始符号同步集合中的任一个。S1006. Obtain the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets.
S1007、以第一序号为行、以第二序号为列,从上三角矩阵中确定目标元素的值。S1007. Using the first serial number as the row and the second serial number as the column, determine the value of the target element from the upper triangular matrix.
S1008、在第二序号大于第一序号,且目标元素的值不为零的条件下,则将冻结符号从当前符号同步集合中删除,并将冻结符号添加至目标符号同步集合中;目标符号同步集合中的信息符号的第三序号小于第一序号,且第一序号和第三序号对应的上三角矩阵中的元素的值不为零;或者,目标符号同步集合为预设集合。S1008. Under the condition that the second sequence number is greater than the first sequence number and the value of the target element is not zero, delete the frozen symbol from the current symbol synchronization set and add the frozen symbol to the target symbol synchronization set; the target symbol synchronization The third sequence number of the information symbol in the set is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is a preset set.
S1009、根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离。S1009. According to the enumeration order of each optimized symbol synchronization set, obtain the Euclidean distance of each information symbol in each optimized symbol synchronization set.
S1010、根据各优化后的符号同步集合中各信息符号的欧式距离,针对各优化后的符号同步集合均确定预设数量的候选译码路径;S1010. Based on the Euclidean distance of each information symbol in each optimized symbol synchronization set, determine a preset number of candidate decoding paths for each optimized symbol synchronization set;
S1011、根据各优化后的符号同步集合对应的候选译码路径,确定目标译码路径。S1011. Determine the target decoding path according to the candidate decoding paths corresponding to each optimized symbol synchronization set.
本实施例提供的目标译码路径,根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离;根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。以调制出4个符号为例,其中,符号4、符号3为信息符号,包含着多种可能性,符号2,符号1为冻结符号,为固定的取值,那么,现有的 融合型检测译码需要4个枚举层级,本申请实施例中,符号意义下的等价有向图中每一条节点i指向节点j的边均代表了符号i的取值对于符号j的欧式距离的计算有影响,所生成的符号意义下的同步集合为T1和T2,仅需要2个枚举层级,也即在相同的枚举层级,考量了更多符号的欧式距离,提高了路径评估的精度。The target decoding path provided by this embodiment obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to each information in each optimized symbol synchronization set The Euclidean distance of symbols determines the target decoding path. Take the modulation of 4 symbols as an example. Among them, symbol 4 and symbol 3 are information symbols, containing multiple possibilities. Symbol 2 and symbol 1 are frozen symbols with fixed values. Then, the existing Fusion detection decoding requires four enumeration levels. In the embodiment of this application, each edge from node i to node j in the equivalent directed graph in the symbolic sense represents the Euclidean value of symbol i for symbol j. The calculation of distance has an impact. The generated synchronization sets in the symbolic sense are T1 and T2, which only require 2 enumeration levels. That is, at the same enumeration level, the Euclidean distance of more symbols is considered, which improves path evaluation. accuracy.
可选的,如图11所示,在N=128,信息位为11的仿真环境中,提出的宽度优先球型译码方法与已有的宽度优先球形译码方法相比较,在参数K=4的情况下,在达到帧误码率(Frame Error Rate,FER)为10-3所需信噪比(Signal Noise Rate,SNR)仅为9dB,比已有的宽度优先球型译码方法提升了高达7.7dB。Optionally, as shown in Figure 11, in a simulation environment with N=128 and information bits of 11, the proposed width-first spherical decoding method is compared with the existing width-first spherical decoding method. When the parameter K= In the case of 4, the signal-to-noise ratio (SNR) required to achieve a frame error rate (Frame Error Rate, FER) of 10-3 is only 9dB, which is improved compared to the existing width-first spherical decoding method. up to 7.7dB.
可以理解的是,虽然如上的各实施例所涉及的流程图中的各个步骤按照箭头的指示依次显示,但是这些步骤并不是必然按照箭头指示的顺序依次执行。除非本文中有明确的说明,这些步骤的执行并没有严格的顺序限制,这些步骤可以其它的顺序执行。而且,如上的各实施例所涉及的流程图中的至少一部分步骤可以包括多个步骤或者多个阶段,这些步骤或者阶段并不必然是在同一时刻执行完成,而是可以在不同的时刻执行,这些步骤或者阶段的执行顺序也不必然是依次进行,而是可以与其它步骤或者其它步骤中的步骤或者阶段的至少一部分轮流或者交替地执行。It can be understood that although the steps in the flowcharts involved in the above embodiments are shown in sequence as indicated by the arrows, these steps are not necessarily executed in the order indicated by the arrows. Unless explicitly stated in this article, there is no strict order restriction on the execution of these steps, and these steps can be executed in other orders. Moreover, at least some of the steps in the flowcharts involved in the above embodiments may include multiple steps or multiple stages. These steps or stages are not necessarily executed at the same time, but may be executed at different times. The execution order of these steps or stages is not necessarily sequential, but may be performed in turn or alternately with other steps or at least part of the steps or stages in other steps.
基于同样的发明构思,本申请实施例还提供了一种实现上述所涉及的译码路径确定方法的检测译码装置。该装置所提供的解决问题的实现方案与上述方法中所记载的实现方案相似,故下面所提供的一个或多个检测译码装置实施例中的具体限定可以参见上文中对于译码路径确定方法的限定,在此不再赘述。Based on the same inventive concept, embodiments of the present application also provide a detection decoding device that implements the above-mentioned decoding path determination method. The implementation solution provided by this device to solve the problem is similar to the implementation solution recorded in the above method. Therefore, for the specific limitations in one or more detection and decoding device embodiments provided below, please refer to the decoding path determination method mentioned above. The limitations will not be repeated here.
在一个实施例中,如图12所示,为一个实施例中译码路径确定装置的结构框图。一种译码路径确定装置,包括:构建模块201、获取模块202、优化模块203和确定模块204,其中:In one embodiment, as shown in Figure 12, it is a structural block diagram of a decoding path determination device in an embodiment. A decoding path determination device includes: a construction module 201, an acquisition module 202, an optimization module 203 and a determination module 204, wherein:
构建模块201,根据极化码生成矩阵构建基于符号的等价有向图;Building module 201, constructs a symbol-based equivalent directed graph according to the polar code generation matrix;
获取模块202,根据等价有向图,获取至少两个初始符号同步集合;The acquisition module 202 acquires at least two initial symbol synchronization sets according to the equivalent directed graph;
优化模块203,根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合;The optimization module 203 optimizes each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set;
确定模块204,根据优化后的符号同步集合确定目标译码路径。The determination module 204 determines the target decoding path according to the optimized symbol synchronization set.
可选地,在图12所示实施例的基础上,获取模块202,具体根据等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定初始符号同步集合;目标边为以信号符号出发的边。Optionally, based on the embodiment shown in Figure 12, the acquisition module 202 specifically deletes the target edge of each information symbol according to the enumeration order of each symbol in the equivalent directed graph, and then deletes the target edge of each information symbol according to the input of the frozen symbol. The degree determines the initial symbol synchronization set; the target edge is the edge starting from the signal symbol.
在一个实施例中,如图13所示,获取模块202包括:In one embodiment, as shown in Figure 13, the acquisition module 202 includes:
归类单元2021,根据执行归类操作;其中,归类操作包括:根据等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,将当前信息符号和目标冻结符号归类到同一个集合中。The classification unit 2021 performs a classification operation; wherein the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the deletion of the target edge and the current The in-degree of the target freeze symbol connected by the information symbol, under the condition that the in-degree of the target freeze signal is zero, classifies the current information symbol and the target freeze symbol into the same set.
第一确定单元2022,根据枚举顺序,将与当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行归类操作,直至所有的符号均归类到集合中,得到各初始符号同步集合。The first determination unit 2022 determines the next information symbol adjacent to the current information symbol as the new current information symbol according to the enumeration sequence, and returns to perform the classification operation until all symbols are classified into the set, obtaining Each initial symbol synchronization set.
在一个实施例中,如图14所示,优化模块203,包括:In one embodiment, as shown in Figure 14, the optimization module 203 includes:
第一获取单元2031,获取当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;当前符号同步集合为至少两个初始符号同步集合中的任一个;The first obtaining unit 2031 obtains the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
优化单元2032,根据第一序号、第二序号和信道矩阵对应的上三角矩阵,对当前符 号同步集合进行优化,得到优化后的符号同步集合。The optimization unit 2032 optimizes the current symbol based on the first sequence number, the second sequence number and the upper triangular matrix corresponding to the channel matrix. The number synchronization set is optimized to obtain the optimized symbol synchronization set.
在一个实施例中,优化单元2032,具体以第一序号为行、以第二序号为列,从上三角矩阵中确定目标元素的值;在第二序号大于第一序号,且目标元素的值不为零的条件下,将冻结符号从当前符号同步集合中删除,并将冻结符号添加至目标符号同步集合中;目标符号同步集合中的信息符号的第三序号小于第一序号,且第一序号和第三序号对应的上三角矩阵中的元素的值不为零;或者,目标符号同步集合为预设集合。In one embodiment, the optimization unit 2032 specifically uses the first serial number as the row and the second serial number as the column to determine the value of the target element from the upper triangular matrix; when the second serial number is greater than the first serial number, and the value of the target element If it is not zero, the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; the third sequence number of the information symbol in the target symbol synchronization set is less than the first sequence number, and the first The value of the element in the upper triangular matrix corresponding to the serial number and the third serial number is not zero; or, the target symbol synchronization set is a preset set.
在一个实施例中,如图15所示,确定模块204包括:In one embodiment, as shown in Figure 15, the determining module 204 includes:
第二获取单元2041,根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离;根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。The second acquisition unit 2041 obtains the Euclidean distance of each information symbol in each optimized symbol synchronization set according to the enumeration order of each optimized symbol synchronization set; according to the Euclidean distance of each information symbol in each optimized symbol synchronization set , determine the target decoding path.
第二确定单元2042,根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。The second determination unit 2042 determines the target decoding path based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
在一个实施例中,优化单元2042,具体根据各优化后的符号同步集合中各信息符号的欧式距离,针对各优化后的符号同步集合均确定预设数量的候选译码路径;根据各优化后的符号同步集合对应的候选译码路径,确定目标译码路径。In one embodiment, the optimization unit 2042 determines a preset number of candidate decoding paths for each optimized symbol synchronization set based on the Euclidean distance of each information symbol in each optimized symbol synchronization set; according to each optimized symbol synchronization set, The candidate decoding path corresponding to the symbol synchronization set determines the target decoding path.
上述各实施例提供的译码路径确定装置的实现原理和有益效果,可参照对应的译码确定路径方法的实施例,此处不再赘述。The implementation principles and beneficial effects of the decoding path determination device provided by the above embodiments can be referred to the corresponding embodiments of the decoding path determination method, and will not be described again here.
关于译码路径确定装置的具体限定可以参见上文中对于译码路径确定方法的限定,在此不再赘述。上述译码路径确定装置中的各个模块可全部或部分通过软件、硬件及其组合来实现。上述各模块可以硬件形式内嵌于或独立于计算机设备中的处理器中,也可以以软件形式存储于计算机设备中的存储器中,以便于处理器调用执行以上各个模块对应的操作。For specific limitations on the decoding path determination device, please refer to the above limitations on the decoding path determination method, which will not be described again here. Each module in the above-mentioned decoding path determination device may be implemented in whole or in part by software, hardware, or combinations thereof. Each of the above modules may be embedded in or independent of the processor of the computer device in the form of hardware, or may be stored in the memory of the computer device in the form of software, so that the processor can call and execute the operations corresponding to the above modules.
上述译码路径确定装置中的各个模块可全部或部分通过软件、硬件及其组合来实现。上述各模块可以硬件形式内嵌于或独立于计算机设备中的处理器中,也可以以软件形式存储于计算机设备中的存储器中,以便于处理器调用执行以上各个模块对应的操作。Each module in the above-mentioned decoding path determination device may be implemented in whole or in part by software, hardware, or combinations thereof. Each of the above modules may be embedded in or independent of the processor of the computer device in the form of hardware, or may be stored in the memory of the computer device in the form of software, so that the processor can call and execute the operations corresponding to the above modules.
在一个实施例中,提供了一种计算机设备,该计算机设备可以是服务器,其内部结构图可以如图16所示。该计算机设备包括通过系统总线连接的处理器、存储器和网络接口。其中,该计算机设备的处理器提供计算和控制能力。该计算机设备的存储器包括非易失性存储介质和内存储器。该非易失性存储介质存储有操作系统、计算机程序和数据库。该内存储器为非易失性存储介质中的操作系统和计算机程序的运行提供环境。该计算机设备的数据库存储译码路径、极化码、集合等数据。该计算机设备的网络接口与外部的终端通过网络连接通信。该计算机程序被处理器执行时以实现一种译码路径确定方法。In one embodiment, a computer device is provided. The computer device may be a server, and its internal structure diagram may be as shown in Figure 16. The computer device includes a processor, memory, and network interfaces connected through a system bus. Wherein, the processor of the computer device provides computing and control capabilities. The memory of the computer device includes non-volatile storage media and internal memory. The non-volatile storage medium stores operating systems, computer programs and databases. This internal memory provides an environment for the execution of operating systems and computer programs in non-volatile storage media. The computer device's database stores decoding paths, polar codes, sets, and other data. The network interface of the computer device communicates with the external terminal through a network connection. The computer program implements a decoding path determination method when executed by a processor.
在一个实施例中,提供了一种计算机设备,该计算机设备可以是终端,其内部结构图可以如图17所示。该计算机设备包括通过系统总线连接的处理器、存储器、通信接口、显示屏和输入装置。其中,该计算机设备的处理器提供计算和控制能力。该计算机设备的存储器包括非易失性存储介质、内存储器。该非易失性存储介质存储有操作系统和计算机程序。该内存储器为非易失性存储介质中的操作系统和计算机程序的运行提供环境。该计算机设备的通信接口与外部的终端进行有线或无线方式的通信,无线方式可通过WIFI、移动蜂窝网络、NFC(近场通信)或其他技术实现。该计算机程序被处理器执行时以实现一种译码路径确定方法。该计算机设备的显示屏可以是液晶显示屏或者电子墨水显示屏,该计算机设备的输入装置可以是显示屏上覆盖的触摸层,也可以是计算机设备外壳上设置的按键、轨迹球或触控板,还可以是外接的键盘、触控板或鼠标等。In one embodiment, a computer device is provided. The computer device may be a terminal, and its internal structure diagram may be as shown in Figure 17. The computer device includes a processor, memory, communication interface, display screen and input device connected through a system bus. Wherein, the processor of the computer device provides computing and control capabilities. The memory of the computer device includes non-volatile storage media and internal memory. The non-volatile storage medium stores operating systems and computer programs. This internal memory provides an environment for the execution of operating systems and computer programs in non-volatile storage media. The communication interface of the computer device communicates with an external terminal in a wired or wireless manner. The wireless manner can be implemented through WIFI, mobile cellular network, NFC (Near Field Communication) or other technologies. The computer program implements a decoding path determination method when executed by a processor. The display screen of the computer device may be a liquid crystal display or an electronic ink display. The input device of the computer device may be a touch layer covered on the display screen, or may be a button, trackball or touch pad provided on the computer device shell. , it can also be an external keyboard, trackpad or mouse, etc.
本领域技术人员可以理解,图16和图17中示出的结构,可以是与本申请方案相关的部分结构的框图,并不构成对本申请方案所应用于其上的计算机设备的限定,具体的计 算机设备可以包括比图中所示更多或更少的部件,或者组合某些部件,或者具有不同的部件布置。Those skilled in the art can understand that the structures shown in Figures 16 and 17 may be block diagrams of partial structures related to the solution of the present application, and do not constitute a limitation on the computer equipment to which the solution of the present application is applied. Specifically, count A computer device may include more or fewer components than shown in the figures, or some combinations of components, or have a different arrangement of components.
在一个实施例中,提供了一种计算机设备,包括存储器和处理器,存储器中存储有计算机程序,该处理器执行计算机程序时实现以下步骤:In one embodiment, a computer device is provided, including a memory and a processor. A computer program is stored in the memory. When the processor executes the computer program, it implements the following steps:
根据极化码生成矩阵构建基于符号的等价有向图;Construct an equivalent symbol-based directed graph based on the polar code generation matrix;
根据等价有向图,获取至少两个初始符号同步集合;According to the equivalent directed graph, obtain at least two initial symbol synchronization sets;
根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合;According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
根据优化后的符号同步集合确定目标译码路径。The target decoding path is determined based on the optimized symbol synchronization set.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
根据等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定初始符号同步集合;目标边为以信号符号出发的边。According to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of each information symbol, the initial symbol synchronization set is determined according to the in-degree of the frozen symbol; the target edge is the edge starting from the signal symbol.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
执行归类操作;其中,归类操作包括:根据等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,将当前信息符号和目标冻结符号归类到同一个集合中;Perform a classification operation; the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the target freeze connected to the current information symbol after deleting the target edge. The in-degree of the symbol, under the condition that the in-degree of the target freezing signal is zero, the current information symbol and the target freezing symbol are classified into the same set;
根据枚举顺序,将与当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行归类操作,直至所有的符号均归类到集合中,得到各初始符号同步集合。According to the enumeration sequence, the next information symbol adjacent to the current information symbol is determined as the new current information symbol, and the classification operation is returned until all symbols are classified into sets, and each initial symbol synchronization set is obtained.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
获取当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;当前符号同步集合为至少两个初始符号同步集合中的任一个;Obtain the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
根据第一序号、第二序号和信道矩阵对应的上三角矩阵,对当前符号同步集合进行优化,得到优化后的符号同步集合。According to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, the current symbol synchronization set is optimized to obtain an optimized symbol synchronization set.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
以第一序号为行、以第二序号为列,从上三角矩阵中确定目标元素的值;With the first serial number as the row and the second serial number as the column, determine the value of the target element from the upper triangular matrix;
在第二序号大于第一序号,且目标元素的值不为零的条件下,将冻结符号从当前符号同步集合中删除,并将冻结符号添加至目标符号同步集合中;目标符号同步集合中的信息符号的第三序号小于第一序号,且第一序号和第三序号对应的上三角矩阵中的元素的值不为零;或者,目标符号同步集合为预设集合。Under the condition that the second sequence number is greater than the first sequence number and the value of the target element is not zero, the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; in the target symbol synchronization set The third sequence number of the information symbol is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is a preset set.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离;According to the enumeration order of each optimized symbol synchronization set, obtain the Euclidean distance of each information symbol in each optimized symbol synchronization set;
根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。The target decoding path is determined based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
在一个实施例中,处理器执行计算机程序时还实现以下步骤:In one embodiment, the processor also implements the following steps when executing the computer program:
根据各优化后的符号同步集合中各信息符号的欧式距离,针对各优化后的符号同步集合均确定预设数量的候选译码路径;According to the Euclidean distance of each information symbol in each optimized symbol synchronization set, a preset number of candidate decoding paths are determined for each optimized symbol synchronization set;
根据各优化后的符号同步集合对应的候选译码路径,确定目标译码路径。The target decoding path is determined based on the candidate decoding paths corresponding to each optimized symbol synchronization set.
在一个实施例中,提供了一种计算机可读存储介质,其上存储有计算机程序,计算机程序被处理器执行时实现以下步骤:In one embodiment, a computer-readable storage medium is provided with a computer program stored thereon. When the computer program is executed by a processor, the following steps are implemented:
根据极化码生成矩阵构建基于符号的等价有向图;Construct an equivalent symbol-based directed graph based on the polar code generation matrix;
根据等价有向图,获取至少两个初始符号同步集合;According to the equivalent directed graph, obtain at least two initial symbol synchronization sets;
根据各初始符号同步集合中的冻结符号和预设集合中的信息符号,对各初始符号同步集合进行优化,得到优化后的符号同步集合; According to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set, optimize each initial symbol synchronization set to obtain an optimized symbol synchronization set;
根据优化后的符号同步集合确定目标译码路径。The target decoding path is determined based on the optimized symbol synchronization set.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
根据等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定初始符号同步集合;目标边为以信号符号出发的边。According to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of each information symbol, the initial symbol synchronization set is determined according to the in-degree of the frozen symbol; the target edge is the edge starting from the signal symbol.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
执行归类操作;其中,归类操作包括:根据等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与当前信息符号连接的目标冻结符号的入度,在目标冻结信号的入度为零的条件下,将当前信息符号和目标冻结符号归类到同一个集合中;Perform a classification operation; the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the target freeze connected to the current information symbol after deleting the target edge. The in-degree of the symbol, under the condition that the in-degree of the target freezing signal is zero, the current information symbol and the target freezing symbol are classified into the same set;
根据枚举顺序,将与当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行归类操作,直至所有的符号均归类到集合中,得到各初始符号同步集合。According to the enumeration sequence, the next information symbol adjacent to the current information symbol is determined as the new current information symbol, and the classification operation is returned until all symbols are classified into sets, and each initial symbol synchronization set is obtained.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
获取当前符号同步集合中的冻结符号的第一序号和预设集合中的信息符号的第二序号;当前符号同步集合为至少两个初始符号同步集合中的任一个;Obtain the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of at least two initial symbol synchronization sets;
根据第一序号、第二序号和信道矩阵对应的上三角矩阵,对当前符号同步集合进行优化,得到优化后的符号同步集合。According to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, the current symbol synchronization set is optimized to obtain an optimized symbol synchronization set.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
以第一序号为行、以第二序号为列,从上三角矩阵中确定目标元素的值;With the first serial number as the row and the second serial number as the column, determine the value of the target element from the upper triangular matrix;
在第二序号大于第一序号,且目标元素的值不为零的条件下,将冻结符号从当前符号同步集合中删除,并将冻结符号添加至目标符号同步集合中;目标符号同步集合中的信息符号的第三序号小于第一序号,且第一序号和第三序号对应的上三角矩阵中的元素的值不为零;或者,目标符号同步集合为预设集合。Under the condition that the second sequence number is greater than the first sequence number and the value of the target element is not zero, the frozen symbol is deleted from the current symbol synchronization set and the frozen symbol is added to the target symbol synchronization set; in the target symbol synchronization set The third sequence number of the information symbol is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is a preset set.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
根据各优化后的符号同步集合的枚举顺序,获取各优化后的符号同步集合中各信息符号的欧式距离;According to the enumeration order of each optimized symbol synchronization set, obtain the Euclidean distance of each information symbol in each optimized symbol synchronization set;
根据各优化后的符号同步集合中各信息符号的欧式距离,确定目标译码路径。The target decoding path is determined based on the Euclidean distance of each information symbol in each optimized symbol synchronization set.
在一个实施例中,计算机程序被处理器执行时还实现以下步骤:In one embodiment, the computer program, when executed by the processor, also implements the following steps:
根据各优化后的符号同步集合中各信息符号的欧式距离,针对各优化后的符号同步集合均确定预设数量的候选译码路径;According to the Euclidean distance of each information symbol in each optimized symbol synchronization set, a preset number of candidate decoding paths are determined for each optimized symbol synchronization set;
根据各优化后的符号同步集合对应的候选译码路径,确定目标译码路径。The target decoding path is determined based on the candidate decoding paths corresponding to each optimized symbol synchronization set.
本领域普通技术人员可以理解实现上述实施例方法中的全部或部分流程,是可以通过计算机程序来指令相关的硬件来完成的,计算机程序可存储于一非易失性计算机可读取存储介质中,该计算机程序在执行时,可包括如上述各方法的实施例的流程。其中,本申请所提供的各实施例中所使用的对存储器、数据库或其它介质的任何引用,均可包括非易失性和易失性存储器中的至少一种。非易失性存储器可包括只读存储器(Read-Only Memory,ROM)、磁带、软盘、闪存、光存储器、高密度嵌入式非易失性存储器、阻变存储器(ReRAM)、磁变存储器(Magnetoresistive Random Access Memory,MRAM)、铁电存储器(Ferroelectric Random Access Memory,FRAM)、相变存储器(Phase Change Memory,PCM)、石墨烯存储器等。易失性存储器可包括随机存取存储器(Random Access Memory,RAM)或外部高速缓冲存储器等。作为说明而非局限,RAM可以是多种形式,比如静态随机存取存储器(Static Random Access Memory,SRAM)或动态随机存取存储器(Dynamic Random Access Memory,DRAM)等。本申请所提供的各实施例中所涉及的数据库可包括关系型数据库和非关系型数据库中至少一种。非关系型数据库可包括基于区块链的分布式数据库等,不限于此。本申请所提供的各实施例中所涉及的处理器可为通用处理器、中央处理器、 图形处理器、数字信号处理器、可编程逻辑器、基于量子计算的数据处理逻辑器等,不限于此。Those of ordinary skill in the art can understand that all or part of the processes in the methods of the above embodiments can be implemented by instructing relevant hardware through a computer program. The computer program can be stored in a non-volatile computer-readable storage medium. , when executed, the computer program may include the processes of the above method embodiments. Any reference to memory, database or other media used in the embodiments provided in this application may include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive memory (ReRAM), magnetic variable memory (Magnetoresistive Random Access Memory (MRAM), ferroelectric memory (Ferroelectric Random Access Memory (FRAM)), phase change memory (Phase Change Memory, PCM), graphene memory, etc. Volatile memory may include random access memory (Random Access Memory, RAM) or external cache memory. By way of illustration but not limitation, RAM can be in various forms, such as static random access memory (Static Random Access Memory, SRAM) or dynamic random access memory (Dynamic Random Access Memory, DRAM). The databases involved in the various embodiments provided in this application may include at least one of a relational database and a non-relational database. Non-relational databases may include blockchain-based distributed databases, etc., but are not limited thereto. The processors involved in the various embodiments provided in this application may be general-purpose processors, central processing units, Graphics processors, digital signal processors, programmable logic devices, data processing logic devices based on quantum computing, etc. are not limited to these.
以上实施例的各技术特征可以进行任意的组合,为使描述简洁,未对上述实施例中的各个技术特征所有可能的组合都进行描述,然而,只要这些技术特征的组合不存在矛盾,都可以认为是本说明书记载的范围。The technical features of the above embodiments can be combined in any way. To simplify the description, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, all possible combinations can be used. It is considered to be within the scope of this manual.
以上实施例仅表达了本申请的几种实施方式,其描述较为具体和详细,但并不能因此而理解为对本申请专利范围的限制。可以指出的是,对于本领域的普通技术人员来说,在不脱离本申请构思的前提下,还可以做出若干变形和改进,这些都属于本申请的保护范围。因此,本申请的保护范围应以所附权利要求为准。 The above embodiments only express several implementation modes of the present application, and their descriptions are relatively specific and detailed, but they should not be construed as limiting the patent scope of the present application. It can be pointed out that for those of ordinary skill in the art, several modifications and improvements can be made without departing from the concept of the present application, and these all fall within the protection scope of the present application. Therefore, the scope of protection of this application should be determined by the appended claims.

Claims (10)

  1. 一种译码路径确定方法,其中,所述方法包括:A decoding path determination method, wherein the method includes:
    根据极化码生成矩阵构建基于符号的等价有向图;Construct an equivalent symbol-based directed graph based on the polar code generation matrix;
    根据所述等价有向图,获取至少两个初始符号同步集合;According to the equivalent directed graph, obtain at least two initial symbol synchronization sets;
    根据各所述初始符号同步集合中的冻结符号和预设集合中的信息符号,对各所述初始符号同步集合进行优化,得到优化后的符号同步集合;According to the frozen symbols in each of the initial symbol synchronization sets and the information symbols in the preset set, optimize each of the initial symbol synchronization sets to obtain an optimized symbol synchronization set;
    根据所述优化后的符号同步集合确定目标译码路径。The target decoding path is determined according to the optimized symbol synchronization set.
  2. 根据权利要求1所述的方法,其中,所述根据所述等价有向图,获取至少两个初始符号同步集合,包括:The method according to claim 1, wherein said obtaining at least two initial symbol synchronization sets according to the equivalent directed graph includes:
    根据所述等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定所述初始符号同步集合;所述目标边为以所述信号符号出发的边。According to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of each information symbol, the initial symbol synchronization set is determined according to the in-degree of the frozen symbol; the target edge is based on the signal The edge from which the symbol originates.
  3. 根据权利要求2所述的方法,其中,所述根据所述等价有向图中各符号的枚举顺序,对各信息符号的目标边进行删除后,根据冻结符号的入度确定所述初始符号同步集合,包括:The method according to claim 2, wherein, after deleting the target edge of each information symbol according to the enumeration order of each symbol in the equivalent directed graph, the initial determination is based on the in-degree of the frozen symbol. Symbol synchronization collection, including:
    执行归类操作;其中,所述归类操作包括:根据所述等价有向图中各符号的枚举顺序,对当前信息符号的目标边进行删除后,获取删除目标边后与所述当前信息符号连接的目标冻结符号的入度,在所述目标冻结信号的入度为零的条件下,将所述当前信息符号和所述目标冻结符号归类到同一个集合中;Perform a classification operation; wherein the classification operation includes: according to the enumeration order of each symbol in the equivalent directed graph, after deleting the target edge of the current information symbol, obtaining the deletion of the target edge and the current The in-degree of the target frozen symbol connected by the information symbol, under the condition that the in-degree of the target frozen signal is zero, the current information symbol and the target frozen symbol are classified into the same set;
    根据所述枚举顺序,将与所述当前信息符号相邻的下一个信息符号确定为新的当前信息符号,并返回执行所述归类操作,直至所有的符号均归类到集合中,得到各所述初始符号同步集合。According to the enumeration sequence, the next information symbol adjacent to the current information symbol is determined as the new current information symbol, and the classification operation is returned until all symbols are classified into the set, and we obtain Each of the initial symbol synchronization sets.
  4. 根据权利要求1-3任一项所述的方法,其中,所述根据各所述初始符号同步集合中的冻结符号和预设集合中的信息符号,对各所述初始符号同步集合进行优化,得到优化后的符号同步集合,包括:The method according to any one of claims 1 to 3, wherein each of the initial symbol synchronization sets is optimized according to the frozen symbols in each of the initial symbol synchronization sets and the information symbols in the preset set, Obtain the optimized symbol synchronization set, including:
    获取当前符号同步集合中的冻结符号的第一序号和所述预设集合中的信息符号的第二序号;所述当前符号同步集合为所述至少两个初始符号同步集合中的任一个;Obtain the first sequence number of the frozen symbol in the current symbol synchronization set and the second sequence number of the information symbol in the preset set; the current symbol synchronization set is any one of the at least two initial symbol synchronization sets;
    根据所述第一序号、所述第二序号和信道矩阵对应的上三角矩阵,对所述当前符号同步集合进行优化,得到优化后的符号同步集合。According to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, the current symbol synchronization set is optimized to obtain an optimized symbol synchronization set.
  5. 根据权利要求4所述的方法,其中,所述根据所述第一序号、所述第二序号和信道矩阵对应的上三角矩阵,对各所述初始符号同步集合进行优化,得到优化后的符号同步集合,包括:The method according to claim 4, wherein each of the initial symbol synchronization sets is optimized according to the upper triangular matrix corresponding to the first sequence number, the second sequence number and the channel matrix, to obtain an optimized symbol Synchronized collections, including:
    以所述第一序号为行、以所述第二序号为列,从所述上三角矩阵中确定目标元素的值;在所述第二序号大于所述第一序号,且所述目标元素的值不为零的条件下,将所述冻结符号从所述当前符号同步集合中删除,并将所述冻结符号添加至目标符号同步集合中;所述目标符号同步集合中的信息符号的第三序号小于所述第一序号,且所述第一序号和所述第三序号对应的上三角矩阵中的元素的值不为零;或者,所述目标符号同步集合为所述预设集合。Using the first serial number as a row and the second serial number as a column, determine the value of the target element from the upper triangular matrix; when the second serial number is greater than the first serial number and the target element If the value is not zero, the frozen symbol is deleted from the current symbol synchronization set, and the frozen symbol is added to the target symbol synchronization set; the third information symbol in the target symbol synchronization set The sequence number is smaller than the first sequence number, and the value of the element in the upper triangular matrix corresponding to the first sequence number and the third sequence number is not zero; or the target symbol synchronization set is the preset set.
  6. 根据权利要求1-3任一项所述的方法,其中,所述根据所述优化后的符号同步集合确定目标译码路径,包括: The method according to any one of claims 1-3, wherein determining the target decoding path according to the optimized symbol synchronization set includes:
    根据各所述优化后的符号同步集合的枚举顺序,获取各所述优化后的符号同步集合中各信息符号的欧式距离;Obtain the Euclidean distance of each information symbol in each of the optimized symbol synchronization sets according to the enumeration order of each of the optimized symbol synchronization sets;
    根据各所述优化后的符号同步集合中各信息符号的欧式距离,确定所述目标译码路径。The target decoding path is determined according to the Euclidean distance of each information symbol in each of the optimized symbol synchronization sets.
  7. 根据权利要求6所述的方法,其中,所述根据各所述优化后的符号同步集合中各信息符号的欧式距离,确定所述目标译码路径,包括:The method according to claim 6, wherein determining the target decoding path based on the Euclidean distance of each information symbol in each of the optimized symbol synchronization sets includes:
    根据各所述优化后的符号同步集合中各信息符号的欧式距离,针对各所述优化后的符号同步集合均确定预设数量的候选译码路径;According to the Euclidean distance of each information symbol in each of the optimized symbol synchronization sets, a preset number of candidate decoding paths are determined for each of the optimized symbol synchronization sets;
    根据各所述优化后的符号同步集合对应的候选译码路径,确定所述目标译码路径。The target decoding path is determined according to the candidate decoding paths corresponding to each of the optimized symbol synchronization sets.
  8. 一种译码路径确定装置,其中,所述装置包括:A decoding path determination device, wherein the device includes:
    构建模块,根据所述极化码生成矩阵构建基于符号的等价有向图;A building module to construct a symbol-based equivalent directed graph according to the polar code generation matrix;
    获取模块,根据所述等价有向图,获取至少两个初始符号同步集合;The acquisition module acquires at least two initial symbol synchronization sets according to the equivalent directed graph;
    优化模块,根据所述各初始符号同步集合中的冻结符号和预设集合中的信息符号,对所述各初始符号同步集合进行优化,得到优化后的符号同步集合;An optimization module that optimizes each initial symbol synchronization set according to the frozen symbols in each initial symbol synchronization set and the information symbols in the preset set to obtain an optimized symbol synchronization set;
    确定模块,根据所述优化后的符号同步集合确定目标译码路径。A determining module determines a target decoding path according to the optimized symbol synchronization set.
  9. 一种计算机设备,包括存储器和处理器,所述存储器存储有计算机程序,其中,所述处理器执行所述计算机程序时实现权利要求1至7中任一项所述的方法的步骤。A computer device includes a memory and a processor, the memory stores a computer program, wherein the steps of the method according to any one of claims 1 to 7 are implemented when the processor executes the computer program.
  10. 一种计算机可读存储介质,其上存储有计算机程序,其中,所述计算机程序被处理器执行时实现权利要求1至7中任一项所述的方法的步骤。 A computer-readable storage medium having a computer program stored thereon, wherein the steps of the method according to any one of claims 1 to 7 are implemented when the computer program is executed by a processor.
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CN109510630A (en) * 2018-11-21 2019-03-22 东南大学 It is a kind of to be polarized coding/decoding method based on synchronizing determining list ball-type
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