کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605619 | 1337587 | 2008 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uncertainty in time–frequency representations on finite Abelian groups and applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Uncertainty in time–frequency representations on finite Abelian groups and applications Uncertainty in time–frequency representations on finite Abelian groups and applications](/preview/png/4605619.png)
چکیده انگلیسی
Classical and recent results on uncertainty principles for functions on finite Abelian groups relate the cardinality of the support of a function to the cardinality of the support of its Fourier transform. We obtain corresponding results relating the support sizes of functions and their short-time Fourier transforms. We use our findings to construct a class of equal norm tight Gabor frames that are maximally robust to erasures. Also, we discuss consequences of our findings to the theory of recovering and storing signals with sparse time–frequency representations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 25, Issue 2, September 2008, Pages 209-225
Journal: Applied and Computational Harmonic Analysis - Volume 25, Issue 2, September 2008, Pages 209-225