Multirate systems with shortest spline-wavelet filters
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 266-296 |
Journal / Publication | Applied and Computational Harmonic Analysis |
Volume | 41 |
Issue number | 1 |
Online published | 18 Jun 2015 |
Publication status | Published - Jul 2016 |
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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, 07.2016, p. 266-296.
In: Applied and Computational Harmonic Analysis, Vol. 41, No. 1, 07.2016, p. 266-296.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review