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arXiv · cond-mat/9907424

Finite size effects and error-free communication in Gaussian channels

Ido Kanter·David Saad
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Abstract

The efficacy of a specially constructed Gallager-type error-correcting code to communication in a Gaussian channel is being 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 to 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.

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Ido Kanter, David Saad. 1999-07-27. Finite size effects and error-free communication in Gaussian channels. https://doi.org/10.1088/0305-4470%2F33%2F8%2F311

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