Optimized signal expansions for sparse representation
β Scribed by Aase, S.O.; Husoy, J.H.; Skretting, J.H.H.K.; Engan, K.
- Book ID
- 118691023
- Publisher
- IEEE
- Year
- 2001
- Tongue
- English
- Weight
- 201 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1053-587X
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This paper reviews a technique of adaptive wavelet expansions and introduces the novel concept of ''biased wavelets.'' These are functions that are localized in time and in frequency but, unlike conventional wavelets, have an adjustable nonzero mean component. Under mild conditions, it is shown that
## Abstract Estimation of a sparse signal representation, one with the minimum number of nonzero components, is hard. In this paper, we show that for a nontrivial set of the input data the corresponding optimization problem is equivalent to and can be solved by an algorithm devised for a simpler op