An Inverse DWT for Nonorthogonal Wavelets
NAVAL COMMAND CONTROL AND OCEAN SURVEILLANCE CENTER RDT AND E DIV SAN DIEGO CA
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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. This approximation works quite well for many signals however, for other signals, it fails to achieve good accuracy or requires an excessive number of scales. This paper proposes several algorithms that 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. Nonorthogonal wavelet transforms, Dual wavelets.
- Numerical Mathematics
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