Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 811-820.

• Articles • Previous Articles     Next Articles

Orthogonal Multiscaling Functions and Orthogonal Multiwavelets with |Dilation a

 YANG Shou-Zhi   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    广东省自然科学基金(032038)、广东省自然科学基金博士科研启 动基金(04300917)资助

Abstract:

A method for constructing orthonormal multiscaling  function with  dilation a is given  by using an orthogonal uniscaling with dilation  a.  In addition, 
explicit construction formula for the corresponding orthogonal multiwavelets is  obtained. Finally, the example for construction orthogonal multiscaling functions and multiwavelets with  dilation  3 is given.

Key words: Orthogonal scaling function with dilation a;Orthogonal wavelets with dilat ion a; Orthogonal multiscaling function with , dilation , a; Orthogona l multiwavelets with dilation a

CLC Number: 

  • 42C40
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