Discrete inverses for nonorthogonal wavelet transforms

Mark J. Shensa

doi:10.1117/12.170035

15 March 1994 Discrete inverses for nonorthogonal wavelet transforms

Mark J. Shensa

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170035
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

Discrete nonorthogonal wavelet transforms play an important role in signal processing by offering finer resolution in time and scale than their orthogonal counterparts. The standard inversion procedure for such transforms is a finite expansion in terms of the analyzing wavelet. While this approximation works quite well for many signals, it fails to achieve good accuracy or requires an excessive number of scales for others. This paper proposes several algorithms which provide more adequate inversion and compares them in the case of Morlet wavelets. In the process, both practical and theoretical issues for the inversion of nonorthogonal wavelet transforms are discussed.

Citation Download Citation

Mark J. Shensa "Discrete inverses for nonorthogonal wavelet transforms", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170035

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