具有非对称偏差模型的噪声密度演化
Noisy Density Evolution With Asymmetric Deviation Models
摘要：
本文考虑低密度奇偶校验（LDPC）解码器的偏差所引入的电子设备上实现的解码器的影响。噪声密度演化（DE），允许从理论上研究这些LDPC解码器的性能，只能考虑对称偏差模型，由于全零码字的假设。提出了一种新的DE方法，允许使用非对称偏差模型，从而扩大了可以分析的错误实现的范围。DE方程提供了三个噪声解码器：信念传播，Gallager B，和量化的最小和（MS）。仿真结果表明，所提出的DE准确地预测LDPC译码器的性能与非对称偏差。此外，提出了Gallager B和MS解码器的非对称版本，以补偿非对称偏差的影响。这些解码器的参数，然后使用建议DE优化，导致更好的合奏阈值和改进的有限长度的非对称偏差的存在下的性能。
英文摘要：
This paper considers low-density parity-check (LDPC) decoders affected by deviations introduced by the electronic device on which the decoder is implemented. Noisy density evolution (DE) that allows to theoretically study the performance of these LDPC decoders can only consider symmetric deviation models due to the all-zero codeword assumption. A novel DE method is proposed that admits the use of asymmetric deviation models, thus widening the range of faulty implementations that can be analyzed. DE equations are provided for three noisy decoders: belief propagation, Gallager B, and quantized min-sum (MS). Simulation results confirm that the proposed DE accurately predicts the performance of LDPC decoders with asymmetric deviations. Furthermore, asymmetric versions of the Gallager B and MS decoders are proposed to compensate the effect of asymmetric deviations. The parameters of these decoders are then optimized using the proposed DE, leading to better ensemble thresholds and improved finite-length performance in the presence of asymmetric deviations.
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