Data driven design of an orthogonal wavelet with vanishing moments

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

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