Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 946-957.

• Articles • Previous Articles     Next Articles

Approximation Order and Balance Order of Orthonormal Multiwavelets with Scale a

 JIANG Li, ZHU Shan-Hua, LV Yong   

  1. School of Science, Hunan University of Technology, Hunan Zhuzhou 412007
  • Received:2009-06-12 Revised:2010-04-28 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    湖南省教育厅科研项目(09C319)和国家自然科学基金(10971059)资助

Abstract:

Generalizing the definition of m-order approximation of two-scale orthonormal multiwavelets to the case that the scale factor is equals to a(a ≥2), a sufficient and necessary condition is proposed for orthonormal multiwavelets with scale a to have m-order approximation, by studying the factorization of a-scale matrix symbol; Based on the m-balanced definition of orthonormal multiscaling functions with
scale a, three sufficient and necessary conditions are investigated for such orthonormal multiwavelets to have m-order balance; Then,
verify the theory by means of an example.

Key words: Orthonormal multiscaling function, Orthonormal multiwavelets, Approximation order, Balancing order

CLC Number: 

  • 42C40
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