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首页> 外文期刊>IEEE Transactions on Communications >Evaluation of the Low Error-Rate Performance of LDPC Codes over Rayleigh Fading Channels Using Importance Sampling
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Evaluation of the Low Error-Rate Performance of LDPC Codes over Rayleigh Fading Channels Using Importance Sampling

机译：使用重要性采样评估Rayleigh衰落信道上LDPC码的低误码率性能

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摘要

In this paper we propose a novel importance sampling (IS) scheme to estimate the low error-rate performance of low-density parity-check (LDPC) codes over Rayleigh fading channels. The proposed scheme exploits the structural weakness of LDPC codes due to trapping sets (TSs). The Rayleigh fading distribution on the bits belonging to a TS is biased by parameter scaling (PS), while the noise distribution on them is biased via mean translation (MT) according to their fading coefficients. The biases in PS and MT are determined so that the variance of the proposed IS estimator is minimized. The proposed IS scheme is compared with the Monte Carlo (MC) simulator and other IS schemes modified from the conventional IS scheme employed for performance estimation of LDPC codes over an AWGN channel. Numerical results show that it provides much more accurate performance than other IS schemes. Furthermore, the proposed IS estimator is even more efficient than the MC estimator and other IS estimators from the viewpoint of the number of required simulation runs.
机译：在本文中，我们提出了一种新颖的重要性采样（IS）方案，以估计瑞利衰落信道上低密度奇偶校验（LDPC）码的低误码率性能。所提出的方案利用了由于陷印集（TS）导致的LDPC码的结构弱点。属于TS的比特上的瑞利衰落分布通过参数缩放（PS）进行偏置，而它们上的噪声分布则根据其衰落系数通过均值平移（MT）进行偏置。确定PS和MT中的偏差，以使建议的IS估计量的方差最小。将该提议的IS方案与Monte Carlo（MC）模拟器进行比较，并将其他IS方案从常规IS方案修改而来，该方案用于AWGN信道上LDPC码的性能估计。数值结果表明，它提供了比其他IS方案更为准确的性能。此外，从所需仿真运行次数的角度来看，所提出的IS估计器甚至比MC估计器和其他IS估计器更有效。

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