A Study on the Error Performance of Soft-Decision Decodings for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel

Takuya KUSAKA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.12   pp.3016-3022
Publication Date: 2017/12/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Coding Theory
Keyword: 
quantization,  error performance,  AWGN,  binary linear codes,  

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Summary: 
In this paper, a study on the design and implementation of uniform 4-level quantizers for soft-decision decodings for binary linear codes is shown. Simulation results on quantized Viterbi decoding with a 4-level quantizer for the (64,42,8) Reed-Muller code show that the optimum stepsize, which is derived from the cutoff rate, gives an almost optimum error performance. In addition, the simulation results show that the case where the number of optimum codewords is larger than the one for a received sequence causes non-negligible degradation on error performance at high SN ratios of Eb/N0.