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A Comparative Performance Analysis of Regular LDPC Codes Over AWGN and Rayleigh Fading Channels

机译：AWGN和瑞利衰落信道上常规LDPC码的比较性能分析

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In this paper, we provide a comparative performance analysis of regular Low Density Parity Check (LDPC) codes with rate ½ over uncorrelated Rayleigh fading channel and Additive White Gaussian Noise (AWGN) channel to find out to what extent a Rayleigh channel, in which the transmissions are interleaved, approximates the effect of an Additive White Gaussian Noise (AWGN) channel . We provide two performance metrics to quantify this comparative study, probability of bit error, and cross correlation of the bits as they travel across the two channels. We calculate cross correlation of the transmitted codewords while the bits are fully or partially interleaved and demonstrate that fully interleaving bits of LDPC encoded codewords (transmitted across Rayleigh fading channel) creates the most correlation with encoded codewords (transmitted across Additive White Gaussian Noise channel) by a factor of 7/5. Additionally, we show that the regular LDPC code used in this study generally performs better (or similar) over Gaussian channel. For two specific signal to noise ratios of 2 dB and 4 dB, probability of bit error associated with Rayleigh channel is approximately twice as much as probability of bit error associated with AWGN channel.
机译：在本文中，我们对不相关的瑞利衰落信道和加性高斯白噪声（AWGN）信道上速率为½的常规低密度奇偶校验（LDPC）码进行了比较性能分析，以找出瑞利信道的程度，其中传输是交错的，近似于加性高斯白噪声（AWGN）信道的效果。我们提供了两个性能指标来量化此比较研究，误码的可能性以及当比特在两个通道中传播时的比特互相关性。我们计算了比特被完全或部分交织时传输码字的互相关性，并证明了完全交织的LDPC编码码字（在瑞利衰落信道上传输）的比特与编码码字（在相加白高斯噪声信道上传输）产生了最大的相关性。系数是7/5。此外，我们表明，本研究中使用的常规LDPC码通常在高斯信道上表现更好（或类似）。对于2 dB和4 dB的两个特定信噪比，与瑞利信道相关的误码概率约为与AWGN信道相关的误码概率的两倍。

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