广义基插值的正交多尺度函数和多小波

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Orthogonal Multiscaling Functions and Multiwavelets with General Cardinal Property

Yang Shouzhi; Yang Xiaozhong

Department of Mathematics, Shantou University, Shantou 515063

Received:2005-03-09 Revised:2006-05-10 Online:2007-06-25 Published:2007-06-25
Contact: Yang Shouzhi

Abstract

Abstract: A general scheme for constructing a class of orthogonal multiscaling functions with general cardinal property is presented. The corresponding orthogonal
multiwavelets also have the same general cardinal property. The multiwavelets sampling theorem is established. Finally, the authors give some examples.

Key words: Orthogonal, General cardinal property, Multiscaling functions, Multiwavelets, Sampling theorem

CLC Number:

42C15

Yang Shouzhi; Yang Xiaozhong. Orthogonal Multiscaling Functions and Multiwavelets with General Cardinal Property[J].Acta mathematica scientia,Series A, 2007, 27(3): 470-475.

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Orthogonal Multiscaling Functions and Multiwavelets with General Cardinal Property

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