LDPC卷积码短周期的分析与消除

Ziqin Su, Qiaoyong Qiu, Hua Zhou
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引用次数: 4

摘要

定常低密度校验卷积码(TI LDPC- cc)可由相应的准循环(QC) LDPC分组码(LDPC- bc)衍生出多项式域校验矩阵来表示,时变(TV) LDPC- cc可通过对LDPC- bc的校验矩阵展开得到。比较了TI和TV ldpc - cc的周期计数器。在分析短周期图结构的基础上,提出了一种ldpc - cc的多项式综合征前矩阵HCRT(D)的设计方法。该算法在加性高斯白噪声(AWGN)信道上消除了短周期,具有较低的误码率曲线,提高了译码性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis and elimination of short cycles in LDPC convolutional codes
Time-invariant low-density parity-check convolutional codes (TI LDPC-CCs) can be represented by a polynomial-domain parity-check matrix derived from the corresponding quasi-cyclic (QC) LDPC block codes (LDPC-BCs), while time-varying (TV) LDPC-CCs can be obtained by unwrapping the parity-check matrices of LDPC-BCs. The cycle enumerators for TI and TV LDPC-CCs are compared. Based on the analysis of the graphical structures of short cycles in HT(D), we introduce a method of designing the polynomial syndrome former matrix HCRT(D) for LDPC-CCs. It eliminates short cycles and shows improved decoding performance on an additive white Gaussian noise (AWGN) channel with lower bit error ratio (BER) curves.
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