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Complementary Mean-Square Analysis of CNLMS Algorithm Using Pseudo-Energy-Conservation Method

delete2020-01-01
delete6
PRE
AI
张升 (Sheng Zhang) *
H
Hongyu Han
X
Xinglian Jin
Y
Yili Xia
DOI:10.1109/LSP.2020.3012825delete
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Abstract

Abstract

En 中文
This study develops a pseudo-energy-conservation relation to analyze the complementary mean-square performance of a complex-valued normalized least mean-square (CNLMS) algorithm. Based on this relation, we derive a recursion describing the transient complementary mean-square deviation (CMSD) behavior of the CNLMS. Closed-form expressions to predict the steady-state CMSD and complementary excess mean-square error conjugate (CEMSEc) are obtained. Because this method inherits the advantages of the energy-conservation method, our results do not restrict the distribution of input signals. Numerical simulations validate our theoretical analysis results.
Keywords:
Complex NLMS
complementary mean-square
pseudo-energy-conservation
transient analysis
steady-state analysis
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Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

S
Southwest Jiaotong University
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2.9W
Papers: 2.1W
Citations: 2.3W
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Sichuan Normal University
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Papers: 3.3K
Citations: 4.3K
S
southeast university - china
Scholars:
5.3W
Papers: 4.9W
Citations: 57
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