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A Decoding Algorithm for Convolutional Codes

Author

Listed:
  • Sandra Martín Sánchez

    (Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1, 37008 Salamanca, Spain)

  • Francisco J. Plaza Martín

    (Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1, 37008 Salamanca, Spain)

Abstract

It is shown how the decoding algorithms of Pellikaan and Rosenthal can be coupled to produce a decoding algorithm for convolutional codes. Bounds for the computational cost per decoded codeword are also computed. As a case study, our results are applied to a family of convolutional codes constructed by Rosenthal–Schumacher–York and, in this situation, the previous bounds turn out to be polynomial on the degree of the code.

Suggested Citation

  • Sandra Martín Sánchez & Francisco J. Plaza Martín, 2022. "A Decoding Algorithm for Convolutional Codes," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1573-:d:810012
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    References listed on IDEAS

    as
    1. Rosenthal, J. & Schumacher, J.M. & York, E.V., 1996. "On behaviors and convolutional codes," Other publications TiSEM 1c23f564-7bce-463e-898b-6, Tilburg University, School of Economics and Management.
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