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The Viterbi and Differential Trellis Decoding Algorithms

  • Shu Lin
  • Tadao Kasami
  • Toru Fujiwara
  • Marc Fossorier
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 443)

Abstract

Decoding algorithms based on the trellis representation of a code (block or convolutional) drastically reduce decoding complexity. The best known and most commonly used trellis-based decoding algorithm is the Viterbi algorithm [23, 79, 105]. It is a maximum likelihood decoding algorithm. Convolutional codes with the Viterbi decoding have been widely used for error control in digital communications over the last two decades. This chapter is concerned with the application of the Viterbi decoding algorithm to linear block codes. First, the Viterbi algorithm is presented. Then, optimum sectionalization of a trellis to minimize the computational complexity of a Viterbi decoder is discussed and an algorithm is presented. Some design issues for IC (integrated circuit) implementation of a Viterbi decoder are considered and discussed. Finally, a new decoding algorithm based on the principle of compare-select-add is presented. This new algorithm can be applied to both block and convolutional codes and is more efficient than the conventional Viterbi algorithm based on the add-compare-select principle. This algorithm is particularly efficient for rate-1/n antipodal convolutional codes and their high-rate punctured codes. It reduces computational complexity by one-third compared with the Viterbi algorithm.

Keywords

Convolutional Code Decode Algorithm Viterbi Algorithm Code Trellis Linear Block Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Shu Lin
    • 1
  • Tadao Kasami
    • 2
  • Toru Fujiwara
    • 3
  • Marc Fossorier
    • 1
  1. 1.University of Hawaii at ManoaHawaiiUSA
  2. 2.Nara Institute of Science and TechnologyNaraJapan
  3. 3.Osaka UniversityOsakaJapan

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