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Introduction: Signals and Transforms Read chapter Read first chapter

2014 | OriginalPaper | Chapter

16. Biorthogonal Wavelet Transforms Originating from Splines

Authors : Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev

Published in: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

Publisher: Springer Netherlands

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Abstract

This section describes how to generate families of biorthogonal wavelet transforms in spaces of periodic signals using prediction p-filters originating from polynomial and discrete splines. The wavelets related to those transforms are (anti)symmetric, well localized in time domain and have flat spectra. The families contain low-pass p-filters, which locally restore sampled polynomials of any degree, while the respective high-pass p-filters locally eliminate polynomials of the same degrees.

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previous chapter Biorthogonal Wavelet Transforms
next chapter Wavelet Frames Generated by Spline Based p-Filter Banks
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Metadata
Title
Biorthogonal Wavelet Transforms Originating from Splines
Authors
Amir Z. Averbuch
Pekka Neittaanmaki
Valery A. Zheludev
Copyright Year
2014
Publisher
Springer Netherlands
Book
Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

Print ISBN: 978-94-017-8925-7

Electronic ISBN: 978-94-017-8926-4

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-94-017-8926-4_16