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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 52
  3. Science in China Series A: Mathematics : Volume 52, Issue 8, August 2009
  4. Gabor systems on discrete periodic sets
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 52, Issue 12, December 2009
Science in China Series A: Mathematics : Volume 52, Issue 11, November 2009
Science in China Series A: Mathematics : Volume 52, Issue 10, October 2009
Science in China Series A: Mathematics : Volume 52, Issue 9, September 2009
Science in China Series A: Mathematics : Volume 52, Issue 8, August 2009
The C $^{α}$ regularity of a class of non-homogeneous ultraparabolic equations
Construction of multiwavelets with high approximation order and symmetry
Construction of convex solutions for the second type of Feigenbaum’s functional equations
Gabor systems on discrete periodic sets
Linear fractional composition operators on the Dirichlet space in the unit ball
Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
Minimal circumscribed Hermitian ellipsoid of Hartogs domains and an application to an extremal problem
Normality concerning shared values
The contact Yamabe flow on K-contact manifolds
Total colorings of planar graphs with maximum degree at least 8
The total chromatic number of regular graphs of high degree
Genus distribution of ladder type and cross type graphs
Path-following interior point algorithms for the Cartesian P $_{*}$(κ)-LCP over symmetric cones
Multifractal structure of the product measure of two independent general subordinators’ occupation measures
Birkhoff’s theorem and viscosity solutions of Hamilton-Jacobi equations
Codimension 2 reversible heteroclinic bifurcations with inclination flips
A topological position of the set of continuous maps in the set of upper semicontinuous maps
Science in China Series A: Mathematics : Volume 52, Issue 7, July 2009
Science in China Series A: Mathematics : Volume 52, Issue 6, June 2009
Science in China Series A: Mathematics : Volume 52, Issue 5, May 2009
Science in China Series A: Mathematics : Volume 52, Issue 4, April 2009
Science in China Series A: Mathematics : Volume 52, Issue 3, March 2009
Science in China Series A: Mathematics : Volume 52, Issue 2, February 2009
Science in China Series A: Mathematics : Volume 52, Issue 1, January 2009
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Gabor systems on discrete periodic sets

Content Provider Springer Nature Link
Author Li, YunZhang Lian, QiaoFang
Copyright Year 2009
Abstract Due to its good potential for digital signal processing, discrete Gabor analysis has interested some mathematicians. This paper addresses Gabor systems on discrete periodic sets, which can model signals to appear periodically but intermittently. Complete Gabor systems and Gabor frames on discrete periodic sets are characterized; a sufficient and necessary condition on what periodic sets admit complete Gabor systems is obtained; this condition is also proved to be sufficient and necessary for the existence of sets E such that the Gabor systems generated by χ$_{ E }$ are tight frames on these periodic sets; our proof is constructive, and all tight frames of the above form with a special frame bound can be obtained by our method; periodic sets admitting Gabor Riesz bases are characterized; some examples are also provided to illustrate the general theory.
Starting Page 1639
Ending Page 1660
Page Count 22
File Format PDF
ISSN 10069283
Journal Science in China Series A: Mathematics
Volume Number 52
Issue Number 8
e-ISSN 18622763
Language English
Publisher SP Science in China Press
Publisher Date 2009-08-08
Publisher Place Heidelberg
Access Restriction Subscribed
Subject Keyword Gabor systems periodic sets discrete Zak transform Wavelets and other special systems Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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