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Data driven design of an orthogonal wavelet with vanishing moments

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Abstract

We present a framework to design an orthogonal wavelet with compact support and vanishing moments, tuned to a given application. This is achieved by optimizing a criterion, such that a prototype signal, which is characteristic for the application, becomes sparse in the wavelet domain. This approach is beneficial for compression and detection purposes. A parameterization is developed for which orthogonality and compact support are built in, and in terms of which we can express the vanishing moment conditions conveniently. The ap- proach is developed for critically sampled wavelet transforms as well as for the stationary wavelet transform. Several examples illustrate the methods.
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Details

Original languageEnglish
Title of host publication21st International Symposium on Mathematical Theory of Networks and Systems
Pages1665-1672
ISBN (Electronic)978-90-367-6321-9
Publication statusPublished - 11 Jul 2014