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Implementation method for low-complexity polarization code folding hardware framework based on k-segment decomposition

An implementation method and low-complexity technology, which is applied in the direction of encoding components, error correction/detection, and encoding using block codes, to achieve the effects of reducing hardware resource consumption, reducing hardware complexity, and improving node resource utilization

Active Publication Date: 2017-05-10
SOUTHEAST UNIV
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Problems solved by technology

When our hardware platform resources are limited, the traditional SC decoding hardware design has become a fatal factor restricting the code length of polar codes

Method used

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  • Implementation method for low-complexity polarization code folding hardware framework based on k-segment decomposition
  • Implementation method for low-complexity polarization code folding hardware framework based on k-segment decomposition
  • Implementation method for low-complexity polarization code folding hardware framework based on k-segment decomposition

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Embodiment Construction

[0031] The technical solution of the present invention will be further introduced below in combination with specific embodiments.

[0032] First introduce the traditional SC decoding algorithm.

[0033] Consider a polar code (N, K, A), where N represents the code length of the polar code, K represents the number of effective information in the polar code, and A represents the set of effective information bits. Let the vector to be decoded received by the receiving end be y i =(y 1 ,...,y N ), the decoding result at the receiving end is expressed as if u i is not valid information bits, we will Zero. Otherwise the decoded bits can be expressed as:

[0034]

[0035] in, The channel transmission probability is defined. The decoding operation uses LLR (log-likelihood ratio) to calculate, and the definition of LLR is as follows:

[0036]

[0037] The algorithm of LLR satisfies the following recurrence relation:

[0038]

[0039] The traditional SC decoder con...

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Abstract

The invention discloses an implementation method for a low-complexity polarization code folding hardware framework based on k-segment decomposition. The method comprises the following steps of S1.decomposing an n-stage SC decoding algorithm into k segments, wherein k is a factor of n and meets a relation that n is equal to kp, p is an integer, the code length of a polarization code is N and N is equal to 2n; S2.configuring (k-1) secondary decoders for the decomposed k-segment SC decoding algorithm and computing a folding set of each segment, wherein the number of decoding stages of each decoder is p stage; and S3.constructing the polarization code folding hardware framework according to the folding set of each segment, which is obtained in the step S2. According to the method, the hardware complexity is greatly reduced, the hardware resource consumption is reduced and the node resource utilization rate is increased.

Description

technical field [0001] The invention relates to a method for realizing a polar code folding hardware framework, in particular to a method for realizing a low-complexity polar code folding hardware framework based on k-segment decomposition. Background technique [0002] Ar1kan proposed that polar codes are the first class of channel coding that can almost achieve the capacity of symmetric binary-input discrete memoryless channels (B-DMCs). Due to its low computational complexity of O(NlogN), where N is the length of the polar code; and the decoding structure in the form of Fast Fourier Transformation (FFT), serial offset decoding successive cancellation (SC) algorithm Has become one of the most effective polar decoding algorithms. Most polar code decoding schemes have been decoded based on SC. [0003] However, the basic decoding principle followed by the SC decoding algorithm is to use the decoded bit information as the feedback information to decode bit by bit in sequenc...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/13H03M13/00
Inventor 张川梁霄杨俊梅尤肖虎
Owner SOUTHEAST UNIV
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