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Alpha-expansions: a class of frame decompositions

✍ Scribed by M. Craizer; D.A. Fonini Jr.; E.A.B. da Silva

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 180 KB
Volume: 13
Category: Article
ISSN: 1063-5203
DOI: 10.1016/s1063-5203(02)00504-3

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✦ Synopsis

This article analyzes a scheme for frame decompositions that is called α-expansion. In this scheme, the choice of a parameter α adequate to a given frame is a central point. We develop a theory that helps choosing the parameter α and also suggests algorithms for obtaining the α-expansions. The method is applied to frame expansions coding. In this context we give conditions under which, for high rate coding, α-expansions are better, in a rate × distortion sense, than schemes that find the frame coefficients first and quantize them in a second step.

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