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

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)1235-1244
Number of pages10
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number8
Publication statusPublished - Aug 1 2018



  • AWGN
  • Binary linear codes
  • GMD decoding
  • Quantization

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this