2007
DOI: 10.1109/lsp.2007.898317
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Oblique Matching Pursuit

Abstract: A method for selecting a suitable subspace for discriminating signal components through an oblique projection is proposed. The selection criterion is based on the consistency principle introduced by M. Unser and A. Aldroubi and extended by Y. Elder. An effective implementation of this principle for the purpose of subspace selection is achieved by updating of the dual vectors yielding the corresponding oblique projector.Comment: Last version- as it will appear in IEEE SPL. IEEE Signal Processing Letters (in p… Show more

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Cited by 13 publications
(20 citation statements)
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“…However, as discussed above, even possessing this knowledge about the sought signal the problem of finding the right subspace by exhaustive search is not affordable. Hence, an adaptive greedy strategy for the subspace selection, given a signal, was advanced in [13]. Before revising and extending that strategy we need to recall two relevant properties of oblique projectors.…”
Section: Getting Ready For the Searchmentioning
confidence: 99%
See 3 more Smart Citations
“…However, as discussed above, even possessing this knowledge about the sought signal the problem of finding the right subspace by exhaustive search is not affordable. Hence, an adaptive greedy strategy for the subspace selection, given a signal, was advanced in [13]. Before revising and extending that strategy we need to recall two relevant properties of oblique projectors.…”
Section: Getting Ready For the Searchmentioning
confidence: 99%
“…|γn , γ n = 0 is maximal over all n ∈ J \ J k . The OBMP selection criterion [13] selects the index ℓ k+1 as the maximizer over n ∈ J \ J k of | γ n |f | |γ n 2 , ||γ n || = 0.…”
Section: Forward/backward Adapting Of Measurement Vectorsmentioning
confidence: 99%
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“…Even when this condition is theoretically fulfilled, if the subspaces S 1 and S 2 are not well separated, the concomitant linear problem for extracting one of the signal components may be ill posed, which causes the failure to correctly split the signal by a linear operation. Hence, nonlinear techniques for determining a subspace V ⊂ S 1 , such that |f 1 ∈ V, and the projection onto V along S 2 is well posed, have been considered [3][4][5]. In those publications the theoretically complementary subspaces S 1 and S 2 are assumed to be known.…”
Section: Introductionmentioning
confidence: 99%