期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Sampling theorem for multiwavelet subspaces 被引量：2

Sampling theorem for multiwavelet subspaces
原文传递
导出
摘要 Sampling theorem on multiwavelet subspaces is established. Necessary and sufficient conditions are obtained. The result covers the Shannon’s sampling theorem and the early results on the sampling theorem for wavelet subspaces. Sampling theorem on multiwavelet subspaces is established. Necessary and sufficient conditions are obtained. The result covers the Shannon’s sampling theorem and the early results on the sampling theorem for wavelet subspaces.
作者 Wenchang Sun Xingwei Zhou
机构地区 Nankai Univ
出处 《Chinese Science Bulletin》 SCIE EI CAS 1999年第14期1283-1286,共4页
关键词 sampling THEOREM multiwavelet. sampling theorem multiwavelet
分类号 O174.22 [理学—基础数学]
  • 相关文献

参考文献8

  • 1孙文昌,周性伟.Frames and sampling theorem[J].Science China Mathematics,1998,41(6):606-612. 被引量：3
  • 2Wenchang Sun,Xingwei Zhou.Frames and sampling theorem[J]. Science in China Series A: Mathematics . 1998 (6)
  • 3Walter G G.A sampling theorem for wavelet subspaces. IEEE Transactions on Information Theory . 1992
  • 4AUGUSTUS E M,JANSSEN.The Zak Transform and Sampling Theorem for Wavelet Subspaces. IEEE Transactions on Signal Processing . 1993
  • 5LONG R L.Multidimensional Wavelet Analysis. . 1995
  • 6DeBoor,C. A practical guide to splines . 1978
  • 7Goodman, T,Lee, S.Wavelets of multiplicity r. Trans. Ammer. Soc . 1994
  • 8Massopust, P. R,Ruck, D. K,van Fleet, P. J.On the support porperties of scaling vectors. Applied and Computational Harmonic Analysis . 1996

共引文献2

同被引文献17

  • 1Zhou X W, Sun W C. On the sampling theorem for wavelet subspaces[J]. Journal of Fourier Analysis and Applications, 1999, 5 (4) : 347-354.
  • 2Zhou X W, Sun W C. Sampling theorem for wavelet subspaces: error estimate and irregular sampling [J]. IEEE Trans Signal Processing, 2000, 48 (1) : 225-226.
  • 3Christensen O. An Introduction to frames and riesz bases [M]. Boston, MA: Birkhauser, 2003.
  • 4Blanco C, Cabrelli C, Heineken S. Functions in sampling ppaces [J]. Sampling Theory in Signal and Image Processing, 2006, 5 (3) : 275-295.
  • 5Wenchang Sun,Xingwei Zhou.Frames and sampling theorem[J].Science in China Series A: Mathematics.1998(6)
  • 6XIA X G,,ZHANG Z.On sampling theorem,wavelets and wavelet transforms[].IEEE Transactions on Sig- nal Processing.1993
  • 7BLU T,,UNSER M.Approximation error for quasi- interpolators and(multi)wavelet expansions[].Ap- plied and Computation Harmonic Analysis.1999
  • 8SELESNICK I W.Interpolating multiwavelets bases and the sampling theorem[].IEEE Transactions on Signal Processing.1999
  • 9SUN W C,ZHOU X W.Sampling theorem for multi- wavelet subspaces[].Chinese Science.1999
  • 10JIA C Y,GAO X P.A general sampling theorem for multiwavelet subspaces[].Science in China.2002

引证文献2

Chinese Science Bulletin
1999年 第14期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部