کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605617 | 1337587 | 2008 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extension principles for tight wavelet frames of periodic functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A unitary extension principle for constructing normalized tight wavelet frames of periodic functions of one or higher dimensions is established. While the wavelets are nonstationary, the method much simplifies their construction by reducing it to a matrix extension problem that involves finite rows of complex numbers. Further flexibility is achieved by reformulating the result as an oblique extension principle. In addition, with a constructive proof, necessary and sufficient conditions for a solution of the matrix extension problem are obtained. A complete characterization of all possible solutions is also provided. As illustration, parametric families of trigonometric polynomial tight wavelet frames are constructed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 25, Issue 2, September 2008, Pages 168-186
Journal: Applied and Computational Harmonic Analysis - Volume 25, Issue 2, September 2008, Pages 168-186