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An Extended Generalized Minimum Distance Decoding for Binary Linear Codes on a 4-Level Quantization over an AWGN Channel
Shunsuke UEDA Ken IKUTA Takuya KUSAKA Md. Al-Amin KHANDAKER Md. Arshad ALI Yasuyuki NOGAMI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/08/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Coding Theory
GMD decoding, quantization, AWGN, binary linear codes,
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Generalized Minimum Distance (GMD) decoding is a well-known soft-decision decoding for linear codes. Previous research on GMD decoding focused mainly on unquantized AWGN channels with BPSK signaling for binary linear codes. In this paper, a study on the design of a 4-level uniform quantizer for GMD decoding is given. In addition, an extended version of a GMD decoding algorithm for a 4-level quantizer is proposed, and the effectiveness of the proposed decoding is shown by simulation.