An improved method of reliability-based maximum likelihood decoding algorithms using an order relation among binary vectors

Hideki Yagi, Manabu Kobayashi, Toshiyasu Matsushima, Shigeichi Hirasawa

Research output: Contribution to journalArticle

Abstract

Reliability-based maximum likelihood decoding (MLD) algorithms of linear block codes have been widely studied. These algorithms efficiently search the most likely codeword using the generator matrix whose most reliable and linearly independent k (dimension of the code) columns form the identity matrix. In this paper, conditions for omitting unnecessary metrics computation of candidate codewords are derived in reliability-based MLD algorithms. The proposed conditions utilize an order relation of binary vectors. A simple method for testing if the proposed conditions are satisfied is devised. The method for testing proposed conditions requires no real number operations and, consequently, the MLD algorithm employing this method reduces the number of real number operations, compared to known reliability-based MLD algorithms.

Original languageEnglish
Pages (from-to)2493-2502
Number of pages10
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE87-A
Issue number10
Publication statusPublished - 2004 Oct

Keywords

  • Linear block codes
  • Maximum likelihood decoding
  • Order relation
  • Reliability measure
  • Soft decision decoding

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'An improved method of reliability-based maximum likelihood decoding algorithms using an order relation among binary vectors'. Together they form a unique fingerprint.

  • Cite this