کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1139783 | 956695 | 2011 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The lifting factorization of wavelet bi-frames with arbitrary generators
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The lifting factorization of wavelet bi-frames with arbitrary generators The lifting factorization of wavelet bi-frames with arbitrary generators](/preview/png/1139783.png)
چکیده انگلیسی
In this paper, we present the lifting scheme of wavelet bi-frames with arbitrary generators. The Euclidean algorithm for arbitrary n Laurent polynomials and the factorization theorem of polyphase matrices of wavelet bi-frames are proposed. We prove that any wavelet bi-frame with arbitrary generators can be factorized into a finite number of alternating lifting and dual lifting steps. Based on this concept, we present a new idea for constructing bi-frames by lifting. For the construction, by using generalized Bernstein basis functions, we realize a lifting scheme of wavelet bi-frames with arbitrary prediction and update filters and establish explicit formulas for wavelet bi-frame transforms. By combining the different designed filters for the prediction and update steps, we can devise practically unlimited forms of wavelet bi-frames. Furthermore, we present an algorithm for increasing the number of vanishing moments of wavelet bi-frames to arbitrary order by the presented lifting scheme, which adopts an iterative algorithm. Several examples are constructed to illustrate the conclusion.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 4, December 2011, Pages 570-589
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 4, December 2011, Pages 570-589
نویسندگان
Yan Shi, Xiaoyuan Yang,