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Problemy Peredachi Informatsii, 1993, Volume 29, Issue 1, Pages 32–44
(Mi ppi161)
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Information Theory and Coding Theory
Multidimensional Lattices and Limit Efficiency of Modulation and Coding
A. N. Trofimov
Abstract:
For the Gaussian channel we investigate how the exponent of the additive estimate for the mean coding error probability over the ensemble of codes (the computational rate) $R_0$ depends on the signal-to-noise ratio per sample provided that the input symbols for the channel are chosen from a subset of a multidimensional lattice. The asymptotic behavior of $R_0$ is considered with respect to the S/N per sample, the alphabet's cardinality, and the number of samples. Some numerical results are presented and some examples are discussed.
Received: 11.11.1991
Citation:
A. N. Trofimov, “Multidimensional Lattices and Limit Efficiency of Modulation and Coding”, Probl. Peredachi Inf., 29:1 (1993), 32–44; Problems Inform. Transmission, 29:1 (1993), 27–37
Linking options:
https://www.mathnet.ru/eng/ppi161 https://www.mathnet.ru/eng/ppi/v29/i1/p32
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Abstract page: | 380 | Full-text PDF : | 132 |
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