Bases optimales pour des espaces de signaux

Yonathan Aflalo; Haïm Brezis; Alfred Bruckstein; Ron Kimmel; Nir Sochen

doi:10.1016/j.crma.2016.10.002

Bases optimales pour des espaces de signaux

Translated title of the contribution: Best bases for signal spaces

Yonathan Aflalo, Haïm Brezis, Alfred Bruckstein, Ron Kimmel, Nir Sochen

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the topic of selecting optimal orthonormal bases for representing classes of signals defined either through statistics or via some deterministic characterizations, or combinations of the two. In all cases, the best bases result from spectral analysis of a Hermitian matrix that summarizes the prior information we have on the signals we want to represent, achieving optimal progressive approximations. We also provide uniqueness proofs for the discrete cases.

Translated title of the contribution	Best bases for signal spaces
Original language	French
Pages (from-to)	1155-1167
Number of pages	13
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	12
DOIs	https://doi.org/10.1016/j.crma.2016.10.002
State	Published - 1 Dec 2016

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10.1016/j.crma.2016.10.002

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Bases optimales pour des espaces de signaux

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