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

doi:10.1587/transfun.E101.A.1235

Regular Section

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

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Keywords: GMD decoding, quantization, AWGN, binary linear codes

JOURNAL RESTRICTED ACCESS

2018 Volume E101.A Issue 8 Pages 1235-1244

DOI https://doi.org/10.1587/transfun.E101.A.1235

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Abstract

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.

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