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IEEE Communications Letters

A Simplified Successive-Cancellation Decoder for Polar Codes

Amin Alamdar-Yazdi, Frank R. Kschischang

Published Nov 1, 2011• 467 citations
Publisher

Abstract

A modification is introduced of the successive-cancellation decoder for polar codes, in which local decoders for rate-one constituent codes are simplified. This modification reduces the decoding latency and algorithmic complexity of the conventional decoder, while preserving the bit and block error rate. Significant latency and complexity reductions are achieved over a wide range of code rates.

DOI
10.1109/lcomm.2011.101811.111480

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A modification is introduced of the successive-cancellation decoder for polar codes, in which local decoders for rate-one constituent codes are simplified. This modification reduces the decoding latency and algorithmic complexity of the conventional decoder, while preserving the bit and block error rate. Significant latency and complexity reductions are achieved over a wide range of code rates.
In this paper, we propose a simplified multi-bit successive cancellation list (SMSCL) decoding method for polar codes. In the proposed SMSCL decoding, frozen bits are ignored, and multiple information bits are intermediately decoded at each decision step. In addition, a modified two-stage pruning network is proposed to reduce the complexity of path pruning in SMSCL decoding. Compared to the existing multi-bit SCL decoders, the SMSCL decoder can achieve significant latency and complexity reduction over a wide range of code rates.
Polar codes are considered as a competitive candidate for 5G ultra-reliable and low-latency communication (URLLC) channel codes, but its strict latency and reliability requirements pose signicant challenges to the existing decoding schemes, especially in terms of decoding latency. In this paper, we propose a neural network based successive cancellation (NN-SC) decoding algorithm. In the proposed algorithm, neural networks are used to replace the local decoders for rate-R constituent codes because of their one-shot decoding capacity, which greatly reduce the decoding latency and algorithmic complexity. The simulation results indicate that the NN-SC decoding algorithm can achieve comparable reliability performance against the successive cancellation (SC) decoding for a polar code of length 128 and rate 1/6, while reducing the decoding latency by 65.2% when compared with the simplified SC decoding. In addition, for two conventional decoding algorithms: SC and belief propagation (BP) decoding, the proposed algorithm can further reduce the decoding latency by 22.8% and 13.8%, respectively.