Shape nature of error-control codes

  • Authors:

  • Janak Sodha;Adrian Als

  • Affiliations:

  • Department of Computer Science, Mathematics and Physics, University of the West Indies, Cave Hill Campus, P. O. Box 64, Barbados;Department of Computer Science, Mathematics and Physics, University of the West Indies, Cave Hill Campus, P. O. Box 64, Barbados

  • Venue:
  • Signal Processing - From signal processing theory to implementation
  • Year:
  • 2003

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Abstract

In this paper we demonstrate that the perception of a shape property within error-control codes provides an alternative insight to their error-control capability. This insight may lead to the development of a new class of error-control codes based on shapes. To demonstrate the concept of shape, we illustrate the shape nature of convolutional codes within the Viterbi, maximum a posteriori, and Turbo decoding algorithms. We also introduce the concept of shape codes, in which binary information digits are mapped onto predefined imaginary shapes within a given signal constellation, and make use of these predefined shapes to provide a coding gain at very low signal-to-noise ratios, with a penalty of a reduction in the information throughput.