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Complex-Valued adaptive networks based on entropy estimation

delete2018-08-01
delete19
PRE
AI
G
Gang Wang
R
Rui Xue *
C
Chao Zhou
J
Junjie Gong
DOI:10.1016/j.sigpro.2018.03.003delete
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摘要

摘要

En 中文
In distributed estimation, the mean-square error (MSE) criterion has been extensively studied. When complex-valued signals are involved, the additive noise can present different degrees of non-circular properties. The MSE criterion can be optimal only when the error signal is circular, and may not perform well for non-circular error signal. To improve the performance, we present a new diffusion adaptive strategy using the Gaussian entropy criterion as the cost function. Complex-valued Gaussian entropy was early introduced for linear and widely linear filtering. Unfortunately, the closed-form solution based on Gaussian entropy was not obtained due to the nonlinearity of the entropy equation. In this paper, we derive a closed-form solution based on Gaussian entropy for linear and widely linear filters, and provide mean value steady and mean-square performance analysis for the network in detail. Our theoretical analysis demonstrates that the steady-state error approaches zero when the additive noise is maximally non-circular. The simulations demonstrate that the proposed method outperforms the MSE criterion for non-circular noise. (C) 2018 Elsevier B.V. All rights reserved.
Keyword:
Gaussian entropy
Multi-sensor network (MSN)
Mean-square error (MSE)
Degree of non-circularity (DNC)
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期刊

Signal Processing 封面图
Signal Processing
IF:
3.6
论文数:
10.0K
被引数:
1.7W

机构

B
Beihang University
学者数:
5.2W
论文数: 4.1W
被引数: 37
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