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

doi:10.1587/transfun.E100.A.3016

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

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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 E_b/N₀.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.12 pp.3016-3022

Publication Date: 2017/12/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.3016

Type of Manuscript: PAPER

Category: Coding Theory

Authors

Takuya KUSAKA
Okayama University Graduate School of Natural Science and Technology

Keyword

quantization, error performance, AWGN, binary linear codes

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Takuya KUSAKA, "A Study on the Error Performance of Soft-Decision Decodings for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 12, pp. 3016-3022, December 2017, doi: 10.1587/transfun.E100.A.3016.
Abstract: 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 E_b/N₀.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.3016/_p

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@ARTICLE{e100-a_12_3016,
author={Takuya KUSAKA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Study on the Error Performance of Soft-Decision Decodings for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel},
year={2017},
volume={E100-A},
number={12},
pages={3016-3022},
abstract={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 E_b/N₀.},
keywords={},
doi={10.1587/transfun.E100.A.3016},
ISSN={1745-1337},
month={December},}

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TY - JOUR
TI - A Study on the Error Performance of Soft-Decision Decodings for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3016
EP - 3022
AU - Takuya KUSAKA
PY - 2017
DO - 10.1587/transfun.E100.A.3016
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2017
AB - 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 E_b/N₀.
ER -