Organizing gray code states for maximum error tolerance

  • Authors:
  • Nicholas Harkiolakis;Lambros Ekonomou

  • Affiliations:
  • School of Electrical and Computer Engineering, National Technical University of Athens, Athens, Greece;Department of Electrical Engineering Educators, School of Pedagogical and Technological Education, Athens, Greece

  • Venue:
  • MACMESE'09 Proceedings of the 11th WSEAS international conference on Mathematical and computational methods in science and engineering
  • Year:
  • 2009

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Abstract

An alternative to Gray codes is presented where the error between two codes is proportionally analogous to the distance of their positions. The new coding scheme (Selected coding) uses a certain subset of Gray codes of higher length that the ones that would normally being used to carry a given signal. This makes efficient coding for cyclic values that represent rotational variables. This makes it ideal for representing cyclic patterns in neural networks and genetic algorithms. Case studies are used to present the coding scheme and its error handling efficiency.