کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4604957 | 1337533 | 2016 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multirate systems with shortest spline-wavelet filters
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 41, Issue 1, July 2016, Pages 266–296
Journal: Applied and Computational Harmonic Analysis - Volume 41, Issue 1, July 2016, Pages 266–296
نویسندگان
Charles K. Chui, Johan de Villiers, Xiaosheng Zhuang,