A Punching Method Based on Combined Polar Code

Abstract

The invention discloses a puncturing method based on a combined polar code, which uses a combined polar code composed of two kinds of cores with a size of 2×2 and 3×3 in coding, and the length of the generated mother code is M= 3×2 n , where n represents the power, which can be any positive integer; then, for the target code length N (N≤M), apply the principle of equal-capacity segmentation on the mother code structure to generate the corresponding punching pattern, and punch out (M‑N) bit; this method can realize any code length; at the same time, in order to realize the target code length N, compared with the prior art, the present invention requires fewer bits to be punctured, and the polarization performance of polar code coding is retained. Therefore, compared with the BR puncturing method under the traditional polar code structure, the puncturing method proposed by the present invention has better performance in group error rate.

Description

technical field [0001] The present invention relates to the technical field of channel coding, in particular to a puncturing method based on combined polar codes. Background technique [0002] The traditional polar code is composed of a binary kernel with a fixed size of 2×2 as the Kronecker product. The generator matrix of this structure limits the code length to be a power of 2. In actual systems, technologies such as hybrid automatic repeat request transmission require that the code rate can be flexibly configured by changing the code length. [0003] Without changing the coding structure, the most direct solution is to add a punching operation after coding, that is, the code length obtained after coding is M=2 n On the basis of the encoded bit sequence of (wherein n is a power, which can be any positive integer), a part of (M-N) bits are selected and discarded directly without channel transmission. Among them, N is the code length required by the system. The puncturi...

AI Technical Summary

Problems solved by technology

However, this method is only when the code length is relatively short, the group error rate performance is better than the punctured polar code based on the power of 2, and it still cannot realize the diversification of the code length, such as the code length is a prime number

In addition, as the code length increases, this encoding method will bring higher encoding and decoding complexity

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