J4 ›› 2009, Vol. 44 ›› Issue (12): 85-90.

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A new method for construction of orthogonal multiwavelets functions

LIU Jun 1 , ZHANG Xiaowei 2   

  1. 1. Department of Mathematics, Jining University, Qufu 273155, Shandong, China;
    2. School of Science, Harbin Engineering University, Harbin 150001, Heilongjiang, China
  • Received:2009-03-18 Online:2009-12-16 Published:2010-02-05

Abstract:

 new method for constructing orthogonal multiscaling functions with dilation three is given by using orthogonal scaling functions. An explicit construction formula for corresponding orthogonal wavelets is obtained. Finally, a construction example is given.

Key words: scaling function, orthogonal wavelet, multiscaling function, orthogonal multiwavelets

CLC Number: 

  • O1742
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