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.
| Original language | English |
|---|---|
| Article number | 007 |
| Pages (from-to) | 6381-6394 |
| Number of pages | 14 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 40 |
| Issue number | 24 |
| DOIs | |
| Publication status | Published - 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.Keywords
- Gram-Schmidt process
- oblique projectors