Constructive updating/downdating of oblique projectors:a generalization of the Gram-Schmidt process

Abstract

A generalization of the Gram-Schmidt procedure is achieved by providing equations for updating and downdating oblique projectors. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting. The proposed techniques are shown to be relevant to the problem of discriminating signals produced by different phenomena when the order of the signal model needs to be adjusted.

Publication DOI: https://doi.org/10.1088/1751-8113/40/24/007
Divisions: College of Engineering & Physical Sciences > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2007 IOP Publishing Ltd. After the Embargo Period, the full text of the Accepted Manuscript may be made available on the non-commercial repository for anyone with an internet connection to read and download. After the Embargo Period a CC BY-NC-ND 3.0 licence applies to the Accepted Manuscript, in which case it may then only be posted under that CC BY-NC-ND licence provided that all the terms of the licence are adhered to, and any copyright notice and any cover sheet applied by IOP is not deleted or modified.
Uncontrolled Keywords: Gram-Schmidt process,oblique projectors,Mathematical Physics,Physics and Astronomy(all),Statistical and Nonlinear Physics,Modelling and Simulation,Statistics and Probability
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://iopscien ... 8121/40/24/007/ (Publisher URL)
PURE Output Type: Article
Published Date: 2007-06-15
Authors: Rebollo-Neira, Laura (ORCID Profile 0000-0002-7420-8977)

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