### Abstract

Original language | English |
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Title of host publication | 21st International Symposium on Mathematical Theory of Networks and Systems |

Pages | 1665-1672 |

ISBN (Electronic) | 978-90-367-6321-9 |

Publication status | Published - 11 Jul 2014 |

### Cite this

*21st International Symposium on Mathematical Theory of Networks and Systems*(pp. 1665-1672)

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*21st International Symposium on Mathematical Theory of Networks and Systems.*pp. 1665-1672.

**Data driven design of an orthogonal wavelet with vanishing moments.** / Peeters, Ralf; Karel, Joël.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

TY - GEN

T1 - Data driven design of an orthogonal wavelet with vanishing moments

AU - Peeters, Ralf

AU - Karel, Joël

PY - 2014/7/11

Y1 - 2014/7/11

N2 - 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.

AB - 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.

M3 - Conference article in proceeding

SP - 1665

EP - 1672

BT - 21st International Symposium on Mathematical Theory of Networks and Systems

ER -