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双正交多重小波的一种构造方法 被引量:2

A Method on Construction of Biorthogonal Multiwavelets
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摘要 多重小波是近年来新兴的小波研究方向,它具有许多一维小波所不具备的优越性质.完全正交的多重小波在构造上有很大的难度。 Multiwavelets are the newest direction of wavelets research. They have some good properties that scalar wavelets have not. The construction of completely orthogonal multiwavelets is very difficult, so in many application people can use biorthogonal multiwavelets as analysing tool. This note gives a method to construct biorthogonal multiscaling functions from multiscaling functions, and give an example by using this method.
出处 《应用数学》 CSCD 1999年第4期121-125,共5页 Mathematica Applicata
关键词 多重小波 多重尺度函数 双正交多重小波 Multiwavelets Multiscaling functions Biorthogonal multiwavelets
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参考文献3

  • 1李世雄..小波变换及其应用[M],1997.
  • 2李世雄,小波变换及其应用,1997年 被引量:1
  • 3Chui C K,Texas A & M University, CAT Report351,1995年 被引量:1

同被引文献7

  • 1Via Xiang-Gen. A new prefilter design for discrete multiwavelet transforms[J]. IEEE Transactions on Signal Processing, 1998, 46(6) : 1558 - 1570. 被引量:1
  • 2Bui Tien D, Chen Guangyi. Translation-invariant denoising using multiwavelet [ J ]. IEEE Transactions on Signal Processing, 1998, 46(12) :3414 - 3420. 被引量:1
  • 3Wang Xin. Nonlinear multiwavelet transform based soft thresholding [EB/OL]. http://ieeexplore, ieee. org. 2001-02-03/2002-10-01. 被引量:1
  • 4Cotronei Mariantonia, Montrfusco Laura B, Puccio Luigia.Multiwavelet analysis and signal processing [ J ]. IEEE Transactions on Circuits and Systems, 1998, 45(8):970-987. 被引量:1
  • 5Tham Jo Yew, Shen Lixin, Lee Seng Luan, et al. A general approach for analysis and application of discrete multiwavelet transforms [J]. IEEE Transactions on Signal Processing,2000, 48(2) :457 - 464. 被引量:1
  • 6Bala Erdem, Ertuzun Aysin. Applications of multiwavelet techniques to image denosing[EB/OL]. http://ieeexplore.ieee. org. 2002-06-01/2002-11-05. 被引量:1
  • 7杨守志.二维正交的多加细函数和多小波滤波器[J].自然科学进展,2004,14(2):216-219. 被引量:1

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