DocumentCode
1386847
Title
Projections on unstructured subspaces
Author
Krim, H. ; Forster, P.
Author_Institution
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
Volume
44
Issue
10
fYear
1996
fDate
10/1/1996 12:00:00 AM
Firstpage
2634
Lastpage
2637
Abstract
Orthogonal projection on vector subspaces arises in many applied fields. The common assumption about the orthogonal complementary subspace is that it is spanned by white noise components. We generalize a previous perturbation analysis of projection operators to that with a noise field with an arbitrarily structured covariance matrix. The resulting expressions are insightful, and their algebraic power is very useful for applications
Keywords
array signal processing; covariance matrices; mathematical operators; perturbation techniques; spectral analysis; white noise; algebraic power; arbitrarily structured covariance matrix; noise field; orthogonal complementary subspace; orthogonal projection; perturbation analysis; projection operators; unstructured subspaces; vector subspaces; white noise; Adaptive arrays; Electrons; Gaussian noise; Gaussian processes; H infinity control; Nonlinear filters; Signal processing; Signal to noise ratio; Statistics; White noise;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.539050
Filename
539050
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