Multirate systems with shortest spline-wavelet filters

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)266-296
Journal / PublicationApplied and Computational Harmonic Analysis
Volume41
Issue number1
Publication statusPublished - 1 Jul 2016

Abstract

Motivated by the need of short FIR filters for perfect-reconstruction multirate systems, the main objective of this paper is to derive the shortest filters for such filter banks with M channels, for any integer M≥2, based on the M-dilated refinement sequence pm of the mth order cardinal B-spline. By imposing the additional constraint of ℓth order sum rule on the M-dual low-pass sequence am, the smoothness property of the M-dual scaling function, along with its corresponding analysis wavelets, is studied, and consequently yielding the ℓth order vanishing moment for each of the M-1 synthesis (spline) wavelets. Several illustrative examples and tables of the filter systems are also included in this paper.

Research Area(s)

  • Arbitrarily integer dilation, B-spline, Filter bank, Matrix extension, Multirate system, Polyphase matrices, Shortest wavelet filters, Wavelet function spaces

Citation Format(s)

Multirate systems with shortest spline-wavelet filters. / Chui, Charles K.; De Villiers, Johan; Zhuang, Xiaosheng.

In: Applied and Computational Harmonic Analysis, Vol. 41, No. 1, 01.07.2016, p. 266-296.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review