Capacity Bounds for Additive Symmetric α-Stable Noise Channels

被引:36
作者
de Freitas, Mauro L. [1 ]
Egan, Malcolm [2 ]
Clavier, Laurent [3 ,4 ]
Goupil, Alban [5 ]
Peters, Gareth W. [6 ]
Azzaoui, Nourddine [7 ]
机构
[1] Univ Valenciennes, Univ Lille, CNR 59650S, ISEN,UMR 8520,IEMN, F-59650 Lille, France
[2] Univ Lyon, CITI Lab, INSA, INRIA, F-69621 Villeurbanne, France
[3] Univ Valenciennes, Univ Lille, CNRS, ISEN,UMR 8520,IEMN, F-59650 Lille, France
[4] IMT Lille Douai, Inst Mines Telecom, F-59650 Paris, France
[5] Univ Reims, CReSTIC, F-51687 Reims, France
[6] UCL, Dept Stat Sci, London WC1E 6BT, England
[7] Univ Blaise Pascal, Dept Math Informat, F-63170 Aubiere, France
关键词
Random variables; channel capacity; wireless communication; information theory; convergence; optimization; INTERFERENCE; MODELS;
D O I
10.1109/TIT.2017.2676104
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Impulsive noise features in many modern communication systems-ranging from wireless to molecular-and is often modeled by the alpha-stable distribution. At present, the capacity of alpha-stable noise channels is not well understood, with the exception of Cauchy noise (alpha = 1) with a logarithmic constraint and Gaussian noise (alpha = 2) with a power constraint. In this paper, we consider additive symmetric alpha-stable noise channels with alpha is an element of (1, 2]. We derive bounds for the capacity with an absolute moment constraint. We then compare our bounds with a numerical approximation via the Blahut-Arimoto algorithm, which provides insight into the effect of noise parameters on the bounds. In particular, we find that our lower bound is in good agreement with the numerical approximation for alpha near 2.
引用
收藏
页码:5115 / 5123
页数:9
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