On non-orthogonal signal representation

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Abstract

In this chapter we present recent techniques for signal representation outside the traditional orthogonal basis setting. The appropriate setting for our purpose is provided by the general structure of frames. The highly non-linear problem arising in non-orthogonal signal approximation is addressed here by recourse to adaptive pursuit strategies. Forward and backward adaptive biorthogonalisation techniques are derived, which allow for an effective implementation of such strategies. A new motivation for the use of redundant representations is discussed. Namely, the possibility of using redundancy for the purpose of transmitting or storing hidden information. An approach for compressing redundancy is also advanced.

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Publication date1 Jan 2011
Publication titleNew Topics in Mathematical Physics Research
PublisherNova Science Publishers Inc
Pages205-239
Number of pages35
ISBN (Electronic)9781614703747
ISBN (Print)9781594548079
Original languageEnglish

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