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Applied and Computational Harmonic Analysis
Article
License: Elsevier Non-Commercial
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Applied and Computational Harmonic Analysis
Article . 1997
License: Elsevier Non-Commercial
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Applied and Computational Harmonic Analysis
Article . 1997 . Peer-reviewed
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zbMATH Open
Article . 1997
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Analysis of Multiwindow Gabor-Type Schemes by Frame Methods

Analysis of multiwindow Gabor-type schemes by frame methods
Authors: Zibulski, Meir; Zeevi, Yehoshua Y.;

Analysis of Multiwindow Gabor-Type Schemes by Frame Methods

Abstract

The authors generalize the Gabor scheme by using several windows instead of a single window, i.e., \[ f(k)= \sum^R_{r= 0} c_{r,m,n} g_{r,m,n}(x),\quad g_{r,m,n}= g_r(x- na)e^{2\pi imbx}. \] Combining the Zak transform with the concept of frames, they characterize properties of the expansion coefficients \(g_{r,m,n}\) for the case where the product \(ab\) is a rational number. They consider the use of different sampling rates for each window as well as the application of nonexponential kernels. The authors examine the Balian-Low phenomenon in their context of multiwindows.

Keywords

Signal theory (characterization, reconstruction, filtering, etc.), Applied Mathematics, Zak transform, frames, Balian-Low phenomenon, multiwindows, Gabor transform, General harmonic expansions, frames

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
104
Top 10%
Top 1%
Top 10%
hybrid