کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605711 | 1631331 | 2006 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dual frames in L2(0,1) connected with generalized sampling in shift-invariant spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Dual frames in L2(0,1) connected with generalized sampling in shift-invariant spaces Dual frames in L2(0,1) connected with generalized sampling in shift-invariant spaces](/preview/png/4605711.png)
چکیده انگلیسی
The aim of this article is to derive stable generalized sampling in a shift-invariant space by using some special dual frames in L2(0,1). These sampling formulas involve samples of filtered versions of the functions in the shift-invariant space. The involved samples are expressed as the frame coefficients of an appropriate function in L2(0,1) with respect to some particular frame in L2(0,1). Since any shift-invariant space with stable generator is the image of L2(0,1) by means of a bounded invertible operator, our generalized sampling is derived from some dual frame expansions in L2(0,1).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 20, Issue 3, May 2006, Pages 422-433
Journal: Applied and Computational Harmonic Analysis - Volume 20, Issue 3, May 2006, Pages 422-433