Blind Identification of SIMO Wiener Systems based on Kernel Canonical Correlation Analysis

TitleBlind Identification of SIMO Wiener Systems based on Kernel Canonical Correlation Analysis
Publication TypeJournal Article
Year of Publication2013
AuthorsS. Van Vaerenbergh, J. Vía, and I. Santamaría
JournalIEEE Transactions on Signal Processing
Volume61
Issue9
Pagination2219-2230
Month PublishedMay
ISSN1053-587X
AbstractWe consider the problem of blind identification and equalization of single-input multiple-output (SIMO) nonlinear channels. Specifically, the nonlinear model consists of multiple single-channel Wiener systems that are excited by a common input signal. The proposed approach is based on a well-known blind identification technique for linear SIMO systems. By transforming the output signals into a reproducing kernel Hilbert space (RKHS), a linear identification problem is obtained, which we propose to solve through an iterative procedure that alternates between canonical correlation analysis (CCA) to estimate the linear parts, and kernel canonical correlation (KCCA) to estimate the memoryless nonlinearities. The proposed algorithm is able to operate on systems with as few as two output channels, on relatively small data sets and on colored signals. Simulations are included to demonstrate the effectiveness of the proposed technique.
DOI10.1109/TSP.2013.2248004
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