Unconditional Bases and Bit-Level Compression
نویسندگان
چکیده
منابع مشابه
Unconditional Bases and Bit-Level Compression
A previous article [2] gave results showing that an orthogonal basis which is an unconditional basis for a functional class F furnishes an optimal representation of elements of F for certain de-noising and compression tasks. Since publication of that article, the author received several queries which pointed out that the definition of compression in that article was based on counting the number...
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An orthogonal basis of L which is also an unconditional basis of a functional space F is a kind of optimal basis for compressing, estimating, and recovering functions in F . Simple thresholding operations, applied in the unconditional basis, work essentially better for compressing, estimating, and recovering than they do in any other orthogonal basis. In fact, simple thresholding in an uncondit...
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Let X he a Banach space with an unconditional finite-dimensional Schauder decomposition (En). We consider the general problem of characterizing conditions under which one can construct an unconditional basis for X by forming an unconditional basis for each En. For example, we show that if sup,, dim En < c~ and X has Gordon-Lewis local unconditional s t ructure then X has an unconditional basis ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 1996
ISSN: 1063-5203
DOI: 10.1006/acha.1996.0032