论文标题
在BEC上解码的窗口下的空间耦合LDPC代码的有限长度缩放
Finite-Length Scaling of Spatially Coupled LDPC Codes Under Window Decoding Over the BEC
论文作者
论文摘要
我们分析了在二进制擦除通道上窗口解码下的空间耦合低密度均衡检查（SC-LDPC）代码的有限长度性能。特别是，我们提出了Olmos和Urbanke对缩放定律的改进，以在完全信念传播（BP）解码下终止的SC-LDPC合奏的帧错误率（FER）。精致的缩放定律将解码过程模拟为两个独立的Ornstein-uhlenbeck过程，与两个解码波相应地，这些解码波向终止的SC-LDPC代码传播的两个解码波。然后，我们将提出的缩放定律扩展，以预测（终止）SC-LDPC代码合奏在更实际的滑动窗口解码下的性能。最后，我们扩展了此框架，以预测SC-LDPC代码合奏的位错误率（BER）和块错误率（BLER）。所提出的缩放定律对完整的BP和窗口解码产生了非常准确的FER，BLER和BER的预测。
We analyze the finite-length performance of spatially coupled low-density parity-check (SC-LDPC) codes under window decoding over the binary erasure channel. In particular, we propose a refinement of the scaling law by Olmos and Urbanke for the frame error rate (FER) of terminated SC-LDPC ensembles under full belief propagation (BP) decoding. The refined scaling law models the decoding process as two independent Ornstein-Uhlenbeck processes, in correspondence to the two decoding waves that propagate toward the center of the coupled chain for terminated SC-LDPC codes. We then extend the proposed scaling law to predict the performance of (terminated) SC-LDPC code ensembles under the more practical sliding window decoding. Finally, we extend this framework to predict the bit error rate (BER) and block error rate (BLER) of SC-LDPC code ensembles. The proposed scaling law yields very accurate predictions of the FER, BLER, and BER for both full BP and window decoding.
