TY - JOUR

T1 - Some large linear systems in communications

T2 - Estimation, information and statistical physics

AU - Guo, Dongning

N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - Linear systems are frequently used to model physical channels in communication problems. In such systems, the goal is to recover the information bearing input signal to the linear transformation based on noisy observations of the output. This paper investigates the performance of linear systems randomly selected from some ensembles in the large-dimension limit. Previous analysis of such systems using statistical physics techniques is strengthened, where it is shown that the posterior of each individual input symbol is asymptotically identical to the posterior of a Gaussian channel with the same input. Interestingly, the replica symmetry solution takes an identical form as the rigorous result obtained for an ensemble of sparse linear systems. Some challenges to the information theory and statistical physics communities are highlighted.

AB - Linear systems are frequently used to model physical channels in communication problems. In such systems, the goal is to recover the information bearing input signal to the linear transformation based on noisy observations of the output. This paper investigates the performance of linear systems randomly selected from some ensembles in the large-dimension limit. Previous analysis of such systems using statistical physics techniques is strengthened, where it is shown that the posterior of each individual input symbol is asymptotically identical to the posterior of a Gaussian channel with the same input. Interestingly, the replica symmetry solution takes an identical form as the rigorous result obtained for an ensemble of sparse linear systems. Some challenges to the information theory and statistical physics communities are highlighted.

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U2 - 10.1088/1742-6596/95/1/012007

DO - 10.1088/1742-6596/95/1/012007

M3 - Article

AN - SCOPUS:41849142674

VL - 95

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012007

ER -