کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607810 | 1337885 | 2010 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Explicit construction of symmetric orthogonal wavelet frames in L2(Rs)
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Recently, some researchers propose the concept of orthogonal wavelet frames, which are useful for multiple access communication systems. In this article, we first give two explicit algorithms for constructing paraunitary symmetric matrices (p.s.m. for short), whose entries are symmetric or antisymmetric Laurent polynomials. We also give two algorithms for constructing orthogonal wavelet frames from existing tight or dual wavelet frames in L2(Rs). The constructed orthogonal wavelet frames are also tight or dual ones. Furthermore, based on the constructed p.s.m. and the existing symmetric tight (dual) wavelet frames, we can obtain symmetric orthogonal (s.o. for short) tight (dual) wavelet frames in L2(Rs). From the constructed s.o. wavelet frames in L2(Rs), we can obtain s.o. wavelet frames in L2(Rm) by the projection method, where mâ¤s. To illustrate our results, we construct s.o. wavelet frames in L2(R) and L2(R2) from the quadratic B-spline B3(x). Especially, in Example 2, we obtain nonseparable tight 2I2-wavelet frames in L2(R2) from a separable tight 2I2-wavelet frame constructed by tensor product.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 162, Issue 5, May 2010, Pages 891-909
Journal: Journal of Approximation Theory - Volume 162, Issue 5, May 2010, Pages 891-909
نویسندگان
Youfa Li, Shouzhi Yang,