NDLI: Second-order improperness in frequency-domain colored signal model

Content Provider	IEEE Xplore Digital Library
Author	Fengyu Cong Ristaniemi, T.
Copyright Year	2008
Description	Author affiliation: Sch. of Inf. Technol., Univ. of Jyvaskyla, Jyvaskyla (Fengyu Cong; Ristaniemi, T.)
Abstract	This study discusses the second-order improperness in the frequency-domain colored signal model. After the real-valued and colored signal in the time-domain is transformed into the frequency domain, the convolutive blind source separation (BSS) methods may generate a window indexed vector, and minimum variance distortionless response (MVDR) beamforming may produce an array sensor indexed vector, and the trial structured EEG data set may provide a trial-indexed vector. These three complex-valued vectors have such similarities: 1) despite of resulting from the Fourier transformation, they are not indexed by the frequency bins; 2) its real part and image part are proved to be correlated. Hence, such a complex-valued vector is improper, and the pseudo-autocorrelation matrix of this improper vector exists. Moreover, if components of an improper complex-valued vector are uncorrelated, except the autocorrelation matrix, the pseudo-autocorrelation matrix should also be diagonal. This one more statistics could be useful to design better the complex-valued BSS algorithm and MVDR beamforming algorithm.
Starting Page	321
Ending Page	326
File Size	5289003
Page Count	6
File Format	PDF
ISBN	9781424423750
ISSN	15512541
DOI	10.1109/MLSP.2008.4685500
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-10-16
Publisher Place	Mexico
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sensor arrays Source separation Array signal processing Brain modeling Time domain analysis Frequency domain analysis Blind source separation Signal generators Distortion Electroencephalography second order improperness Frequency-domain colored signal model window indexed vector sensor indexed vector trial indexed vector
Content Type	Text
Resource Type	Article

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