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Necessary conditions for Gabor frames 被引量：2

Necessary conditions for Gabor frames
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摘要 The goal of this paper is to establish a set of necessary conditions for Gabor frames. These conditions are also sufficient for tight frames. The goal of this paper is to establish a set of necessary conditions for Gabor frames. These conditions are also sufficient for tight frames.
作者 Xian-liang SHI Fang CHEN
机构地区 LMAM
出处 《Science China Mathematics》 SCIE 2007年第2期276-284,共9页 中国科学：数学（英文版）
基金 This work was supported by the Natural Science Foundation of Hunan Normal University
关键词 GABOR FRAME necessary condition. Gabor frame necessary condition 42C15 42C40
分类号 O241 [理学—计算数学]
  • 相关文献

参考文献4

  • 1Xianliang Shi,Fang Chen.Necessary condition and sufficient condition for affine frames[J].Science in China Series A: Mathematics.2005(10)
  • 2Christensen O.An Introduction to Frames and Riese Bases[]..2002
  • 3Daubechies I.The wavelet transform.time frequency localization and signal analysis[].IEEE Trans Inform Theory.1990
  • 4Daubechies I.Ten Lecture on waveletes[].CBMS-NSF Series in Applied Math.1992

同被引文献17

  • 1Dengfeng LI,Huikun JIANG.Basic Results of Gabor Frame on Local Fields[J].Chinese Annals of Mathematics,Series B,2007,28(2):165-176. 被引量：1
  • 2Karlheinz Gr?chenig,Yurii Lyubarskii.Gabor (super)frames with Hermite functions[J]. Mathematische Annalen . 2009 (2)
  • 3H. Führ.Simultaneous estimates for vector-valued Gabor frames of Hermite functions[J]. Advances in Computational Mathematics . 2008 (4)
  • 4Christopher Heil.History and Evolution of the Density Theorem for Gabor Frames[J]. Journal of Fourier Analysis and Applications . 2007 (2)
  • 5Bachir Bekka.Square Integrable Representations, von Neumann Algebras and An Application to Gabor Analysis[J]. Journal of Fourier Analysis and Applications . 2004 (4)
  • 6D. Han,Y. Wang.Lattice tiling and the Weyl—Heisenberg frames[J]. Geometric and Functional Analysis . 2001 (4)
  • 7Jean-Pierre Gabardo,Deguang Han.Subspace Weyl-Heisenberg frames[J]. The Journal of Fourier Analysis and Applications . 2001 (4)
  • 8Gabardo J P,Han D.Frame representations for group-like unitary operator systems. Journal of Operator Theory . 2003
  • 9Hormander L.The Analysis of Linear Partial Differential Operators I. . 1990
  • 10Balan R.Density and redundancy of the noncoherent Weyl-Heisenberg super frames. Contemporary Mathematics . 1999

引证文献2

二级引证文献3

Science China Mathematics
2007年 第2期

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