Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics

This paper proposes a two-stage fast convergence adaptive complex-valued independent component analysis based on second-order statistics of complex-valued source signals. The first stage constructs a cost function by extending the real-valued whiten cost function to a complex-valued domain and optim...

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Main Authors: Yanfei Jia, Xiaodong Yang
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Electrical and Computer Engineering
Online Access:http://dx.doi.org/10.1155/2016/2467198
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author Yanfei Jia
Xiaodong Yang
author_facet Yanfei Jia
Xiaodong Yang
author_sort Yanfei Jia
collection DOAJ
description This paper proposes a two-stage fast convergence adaptive complex-valued independent component analysis based on second-order statistics of complex-valued source signals. The first stage constructs a cost function by extending the real-valued whiten cost function to a complex-valued domain and optimizes the cost function using a complex-valued gradient. The second stage uses the restriction that the pseudocovariance matrix of the separated signal is a diagonal matrix to construct the cost function and the geodesic method is used to optimize the cost function. Compared with other adaptive complex-valued independent component analysis, the proposed method shows a faster convergence rate and smaller error. Computer simulations were performed on synthesized signals and communications signals. The simulation results demonstrate the validity of the proposed algorithm.
format Article
id doaj-art-485d0b48a64a44eebb35a83393baccec
institution Kabale University
issn 2090-0147
2090-0155
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Journal of Electrical and Computer Engineering
spelling doaj-art-485d0b48a64a44eebb35a83393baccec2025-02-03T05:45:49ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552016-01-01201610.1155/2016/24671982467198Adaptive Complex-Valued Independent Component Analysis Based on Second-Order StatisticsYanfei Jia0Xiaodong Yang1College of Information and Communication Engineering, Harbin Engineering University, Heilongjiang 150001, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, Heilongjiang 150001, ChinaThis paper proposes a two-stage fast convergence adaptive complex-valued independent component analysis based on second-order statistics of complex-valued source signals. The first stage constructs a cost function by extending the real-valued whiten cost function to a complex-valued domain and optimizes the cost function using a complex-valued gradient. The second stage uses the restriction that the pseudocovariance matrix of the separated signal is a diagonal matrix to construct the cost function and the geodesic method is used to optimize the cost function. Compared with other adaptive complex-valued independent component analysis, the proposed method shows a faster convergence rate and smaller error. Computer simulations were performed on synthesized signals and communications signals. The simulation results demonstrate the validity of the proposed algorithm.http://dx.doi.org/10.1155/2016/2467198
spellingShingle Yanfei Jia
Xiaodong Yang
Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
Journal of Electrical and Computer Engineering
title Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
title_full Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
title_fullStr Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
title_full_unstemmed Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
title_short Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics
title_sort adaptive complex valued independent component analysis based on second order statistics
url http://dx.doi.org/10.1155/2016/2467198
work_keys_str_mv AT yanfeijia adaptivecomplexvaluedindependentcomponentanalysisbasedonsecondorderstatistics
AT xiaodongyang adaptivecomplexvaluedindependentcomponentanalysisbasedonsecondorderstatistics