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Proceedings Paper

Local frames
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Paper Abstract

In this paper we introduce the concept of a local Hilbert space frame and develop theory for the representation and reconstruction of signals using local frames. The theory of global frames is due to Duffin and Schaeffer. Local frames are defined with respect to a global frame and a particular element from a Hilbert space H. For any signal f* (epsilon) H, H may be decomposed into two signal dependent subspaces: a finite dimensional one which essentially contains the signal f* and one to which the signal is essentially orthogonal. The frame elements associated with the former subspace constitute the local frame around f*.

Paper Details

Date Published: 1 November 1993
PDF: 12 pages
Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); doi: 10.1117/12.162276
Show Author Affiliations
Anthony Teolis, Univ. of Maryland/College Park (United States)
John J. Benedetto, Univ. of Maryland/College Park (United States)


Published in SPIE Proceedings Vol. 2034:
Mathematical Imaging: Wavelet Applications in Signal and Image Processing
Andrew F. Laine, Editor(s)

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