Finite-size effects and error-free communication in Gaussian channels

Abstract

The efficacy of a specially constructed Gallager-type error-correcting code to communication in a Gaussian channel is examined. The construction is based on the introduction of complex matrices, used in both encoding and decoding, which comprise sub-matrices of cascading connection values. The finite-size effects are estimated for comparing the results with the bounds set by Shannon. The critical noise level achieved for certain code rates and infinitely large systems nearly saturates the bounds set by Shannon even when the connectivity used is low.

Publication DOI: https://doi.org/10.1088/0305-4470/33/8/311
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright of the Institute of Physics
Uncontrolled Keywords: Gallager-type error-correcting code,Gaussian channel,complex matrices,critical noise,Physics and Astronomy(all),Statistical and Nonlinear Physics,Mathematical Physics
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://iopscie ... 0/33/8/311/meta (Publisher URL)
PURE Output Type: Article
Published Date: 2000-03-03
Authors: Kanter, Ido
Saad, David ( 0000-0001-9821-2623)

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Version: Accepted Version


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