Characterization and Computation of Canonical Tight Windows for Gabor Frames
نویسندگان
چکیده
منابع مشابه
Characterization and computation of canonical tight windows for Gabor frames
Let (gna,mb)n,m∈Z be a Gabor frame for L (R) for given window g. We show that the window h0 = S− 1 2 g that generates the canonically associated tight Gabor frame minimizes ‖g − h‖ among all windows h generating a normalized tight Gabor frame. We present and prove versions of this result in the time domain, the frequency domain, the time-frequency domain, and the Zak transform domain, where in ...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2002
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-002-0001-x