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Volume 23 Issue 5
May  2001
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Peng Zhiwei, Bao Zheng, Liao Guisheng . A NEW PREFILTER FOR MULTIWAVELET TRANSFROMS[J]. Journal of Electronics & Information Technology, 2001, 23(5): 460-465.
Citation: Peng Zhiwei, Bao Zheng, Liao Guisheng . A NEW PREFILTER FOR MULTIWAVELET TRANSFROMS[J]. Journal of Electronics & Information Technology, 2001, 23(5): 460-465.

A NEW PREFILTER FOR MULTIWAVELET TRANSFROMS

  • Received Date: 1998-10-26
  • Rev Recd Date: 1999-08-12
  • Publish Date: 2001-05-19
  • Prefiltering is indispensable for multiwavelet transforms. This paper proposes a prefilter with the length of l and an approximate order of 2 for GHM multi-wavelet, and proves that the order of prefilters for length 1 repeating signals cannot be or greater than 2 for GHM multi-wavelet, after analyzing the constructing ideas of various currently existing prefilters for GHM multi-wavelet.
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  • G.Donovan,J.S.Geronimo,D.P.Hardin,P.R.Massopust,Construction of orthogonal wavelets using fractal interpolation functions,SIAM J.Math.Anal.,1996,27(9),1158-1192.[2]C.K.Chui,J.Lian.A study on orthogoual multiwavelets,Appl,Numer.Math.,1996,20(1):273-298.[3]Q.Jiang,Orthogonal multiwavelets with optimum time-frequency resolution,IEEE Trans.on SP,1998,SP-46(4),830-844.[4]J.Lebrun.M-Vetterli,Balanced multiwavelets theory and design,IEEE Trans.on SP,1998,SP-46(4),1119-1124.[5]G.Strang,V.Strela.Short wavelets and matrix dilation equations,IEEE Trans.on SP,1995,SP-43(1).108-115.[6]D.L.Donoho,I.M.Johnstone,Ideal spatial adaption via wavelet shrinkage,Biometrika,1994,81(3),425-455.[7]X.G.Xia,J.S.Geronimo,D.P.Hardin,B.W.Suter.Design of prefilters for discrete multiwavelettransforms,IEEE Trans.on SP,1996,SP-44(1),25-35.
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