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Volume 23 Issue 7
Jul.  2001
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Wang Ling, Song Guoxiang . A MULTIWAVELET WITH NON-BOUNDARY DISTORTION[J]. Journal of Electronics & Information Technology, 2001, 23(7): 693-699.
Citation: Wang Ling, Song Guoxiang . A MULTIWAVELET WITH NON-BOUNDARY DISTORTION[J]. Journal of Electronics & Information Technology, 2001, 23(7): 693-699.

A MULTIWAVELET WITH NON-BOUNDARY DISTORTION

  • Received Date: 1999-06-11
  • Rev Recd Date: 2000-01-03
  • Publish Date: 2001-07-19
  • The multiwavelet research has been an important aspect of the wavelet theory in recent years. This paper summarizes some important properties of multiwavelets. Using the properties of orthogonality and symmetry, A multiwavelet with compact support in [0,1], accurate reconstruction and approximation order 2 is constructed. The multiwavelet has the most advantage of non- boundary distortion. Needless to prefilter, it has better lowpass and highpass characteristics after being balanced. Examples of signal reconstruction and image compression are given, with satisfactory reconstruction results over the single wavelet.
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  • Jiang Qingtang, On the design of multifilter banks and orthonormal multiwavelet banks, IEEE Trans. on Signal Processing, 1998, SP-46(12), 3292-3302.[2]T.N.T. Goodman, S. L. Lee, Wavelets of multiplicity r, Trans. Amer. Math. Soc., 1994, 342(1), 307-324.[3]J.S. Geronimo, D. P. Hardin, P. R. Massopust, Fractal functions and wavelet expansions basedon several sealing functions, J. Approx. Theory, 1994, 78(3), 373-401.[4]I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conf., Ser. in Appl. Math., SIAM,Philadelphia, PA, 1992, 251-253. [5]C.K. Chui, J-a. Lian, A study of orthonormal multi-wavelets, Appl. Numer. Math., 1996, 20(3),273-298.[5]X.G. Xia, A new prefilter design for discrete multiwavelet transforms, IEEE Trans. on SignalProcessing, 1998, SP-46(6), 1558-1570.[6]T.D. Bui, Chen G, Translation-invariant denoising using multiwavelets, IEEE Trans. on SignalProcesying, 1998, SP-46(12), 3414-3420.[7]J. Lebrun, M. Vetterli, Balanced multiwavelets theory and design, IEEE Trans. on Signal Pro-cessing, 1998, SP-46(4), 1119-1125.
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