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.

As it will appear in Journal of Physics A: Mathematical and Theoretical (2007)

References in corpus (2)

• Backward Optimized Orthogonal Matching Pursuit
• Recursive bi-orthogonalisation approach and orthogonal projectors

Cited by in corpus (6)

• From cardinal spline wavelet bases to highly coherent dictionaries
• Oblique Matching Pursuit
• A dedicated greedy pursuit algorithm for sparse spectral representation of music sound
• Measurements design and phenomena discrimination
• Nonlinear non-extensive approach for identification of structured information
• Subspace modelling for structured noise suppression