# Sublinear Latency for Simplified Successive Cancellation Decoding of Polar Codes

Marco Mondelli, Seyyed Ali Hashemi, John M. Cioffi, Andrea Goldsmith

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

## Abstract

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 $O(N^{1-1/\mu })$ , where $N$ is the block length and $\mu$ 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 or 1.

Original language English (US) 9199132 18-27 10 IEEE Transactions on Wireless Communications 20 1 https://doi.org/10.1109/TWC.2020.3022922 Published - Jan 2021

## All Science Journal Classification (ASJC) codes

• Computer Science Applications
• Electrical and Electronic Engineering
• Applied Mathematics

## Keywords

• Polar codes
• latency
• scaling exponent
• simplified successive cancellation (SSC) decoding

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