کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607350 | 1631444 | 2013 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
The aim of this article is to present a time-frequency theory for orthogonal polynomials on the interval [â1,1] that runs parallel to the time-frequency analysis of bandlimited functions developed by Landau, Pollak and Slepian. For this purpose, the spectral decomposition of a particular compact time-frequency operator is studied. This decomposition and its eigenvalues are closely related to the theory of orthogonal polynomials. Results from both theories, the theory of orthogonal polynomials and the Landau-Pollak-Slepian theory, can be used to prove localization and approximation properties of the corresponding eigenfunctions. Finally, an uncertainty principle is proven that reflects the limitation of coupled time and frequency locatability.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 166, February 2013, Pages 56-77
Journal: Journal of Approximation Theory - Volume 166, February 2013, Pages 56-77
نویسندگان
Wolfgang Erb,