Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604957 | Applied and Computational Harmonic Analysis | 2016 | 31 Pages |
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 MM channels, for any integer M⩾2M⩾2, based on the MM-dilated refinement sequence pmpm of the mth order cardinal B-spline. By imposing the additional constraint of ℓ th order sum rule on the MM-dual low-pass sequence amam, the smoothness property of the MM-dual scaling function, along with its corresponding analysis wavelets, is studied, and consequently yielding the ℓ th order vanishing moment for each of the M−1M−1 synthesis (spline) wavelets. Several illustrative examples and tables of the filter systems are also included in this paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Charles K. Chui, Johan de Villiers, Xiaosheng Zhuang,