Analysis of a Sufficient Condition on the Optimality of a Decoded Codeword of Soft-Decision Decodings for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel

Takuya KUSAKA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.3   pp.570-576
Publication Date: 2018/03/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.570
Type of Manuscript: PAPER
Category: Coding Theory
sufficient condition,  optimality,  quantization,  AWGN,  binary linear codes,  

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In this paper, a study of a sufficient condition on the optimality of a decoded codeword of soft-decision decodings for binary linear codes is shown for a quantized case. A typical uniform 4-level quantizer for soft-decision decodings is employed for the analysis. Simulation results on the (64,42,8) Reed-Muller code indicates that the condition is effective for SN ratios at 3[dB] or higher for any iterative style optimum decodings.