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Fast Simplified Successive-Cancellation List Decoding of Polar Codes

机译:极性码的快速简化逐次消除列表解码

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摘要

Polar codes are capacity achieving error correcting codes that can be decodedthrough the successive-cancellation algorithm. To improve its error-correctionperformance, a list-based version called successive-cancellation list (SCL) hasbeen proposed in the past, that however substantially increases the number oftime-steps in the decoding process. The simplified SCL (SSCL) decodingalgorithm exploits constituent codes within the polar code structure to greatlyreduce the required number of time-steps without introducing anyerror-correction performance loss. In this paper, we propose a faster decodingapproach to decode one of these constituent codes, the Rate-1 node. We use thisRate-1 node decoder to develop Fast-SSCL. We demonstrate that only alist-size-bound number of bits needs to be estimated in Rate-1 nodes andFast-SSCL exactly matches the error-correction performance of SCL and SSCL.This technique can potentially greatly reduce the total number of time-stepsneeded for polar codes decoding: analysis on a set of case studies show thatFast-SSCL has a number of time-steps requirement that is up to 66.6% lower thanSSCL and 88.1% lower than SCL.
机译:极性码是可以实现纠错码的容量,可以通过逐级取消算法将其解码。为了提高其纠错性能,过去已经提出了一种基于列表的版本,称为逐次取消列表(SCL),但是该版本大大增加了解码过程中的时间步数。简化的SCL(SSCL)解码算法利用极性代码结构内的组成代码来大大减少所需的时间步数,而不会造成任何纠错性能损失。在本文中,我们提出了一种更快的解码方法来对这些组成代码之一Rate-1节点进行解码。我们使用thisRate-1节点解码器来开发Fast-SSCL。我们证明,在Rate-1节点中仅需要估计列表大小限制的位数,而Fast-SSCL完全匹配SCL和SSCL的纠错性能,该技术可以极大地减少所需的时间步长总数极地代码解码:对一组案例研究的分析表明,Fast-SSCL的时间步长要求比SSCL低66.6%,比SCL低88.1%。

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