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Simplified Successive Cancellation Decoding of Polar Codes Has Sublinear Latency

机译:极性码的简化连续取消对码具有亚线性延迟

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This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It is shown that, unlike conventional successive cancellation decoding, where latency is linear in the block length, the latency of SSC decoding is sublinear. More specifically, the latency of SSC decoding is O(N1−1/µ), where N is the block length and µ is the scaling exponent of the channel, which captures the speed of convergence of the rate to capacity. Numerical results demonstrate the tightness of the bound and show that most of the latency reduction arises from the parallel decoding of subcodes of rate 0 and 1.
机译:这项工作分析了由Alamdar-Yazdi和Kschischang提出的极性码的简化连续消除(SSC)解码方案的延迟。结果表明,与传统的相继对消解码不同,在块长度中等待时间是线性的,而SSC解码的等待时间是亚线性的。更具体地说,SSC解码的等待时间为O(N 1-1 / µ ),其中N是块长度,μ是通道的缩放指数,它捕获速率到容量的收敛速度。数值结果证明了边界的紧密性,并表明大部分等待时间的减少是由速率为0和1的子码的并行解码引起的。

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