On Extending the Complex FastICA Algorithm to Noncircular Sources

The complex fast independent component analysis (c-FastICA) algorithm is one of the most ubiquitous methods for solving the ICA problems with complex-valued data. In this study, we extend the work of Bingham and Hyvarinen to the more general case of noncircular sources by deriving a new fixed-point...

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Vydáno v:IEEE transactions on signal processing Ročník 56; číslo 5; s. 2148 - 2154
Hlavní autoři: Novey, M., Adali, T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY IEEE 01.05.2008
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Algebra
Algorithms
Applied sciences
Binary systems
Computer simulation
Cryptography
Digital signal processing
Error correction
Error correction codes
Exact sciences and technology
Independent component analysis
Independent component analysis (ICA)
Information, signal and communications theory
Keying
Modulation, demodulation
noncircular signals
nonlinear functions
Separation
Signal and communications theory
Signal processing
Signal processing algorithms
Stability analysis
Telecommunications and information theory
Performance evaluation
nonlinear functions
Non circular signal
Independent component analysis
Non linear function
Stability criterion
Covariance matrix
Binary phase shift keying
Algorithm
Complex variable method
Simulation
noncircular signals
Gaussian signal
Independent component analysis (ICA)
Fixed point
ISSN:1053-587X, 1941-0476
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Shrnutí:The complex fast independent component analysis (c-FastICA) algorithm is one of the most ubiquitous methods for solving the ICA problems with complex-valued data. In this study, we extend the work of Bingham and Hyvarinen to the more general case of noncircular sources by deriving a new fixed-point algorithm that uses the information in the pseudo-covariance matrix. This modification provides significant improvement in performance when confronted with noncircular sources, specifically with sub-Gaussian noncircular signals such as binary phase-shift keying (BPSK) signals, where c-FastICA fails to achieve separation. We also present a rigorous local stability analysis that we use to quantify the effects of noncircularity on performance. Simulations are presented to demonstrate the effectiveness of our method.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2007.911278