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

Laura Rebollo-Neira*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number007
Pages (from-to)6381-6394
Number of pages14
JournalJournal of Physics A: Mathematical and Theoretical
Issue number24
Publication statusPublished - 15 Jun 2007

Bibliographical note

©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.


  • Gram-Schmidt process
  • oblique projectors


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