Acta mathematica scientia,Series B

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TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

Liu Youming   

  1. Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, China
  • Received:2003-12-17 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
  • Contact: Liu Youming

Abstract:

A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved.

Key words: Wavelet, Gabor frame, density

CLC Number: 

  • 42C15
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