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Volume 24 Issue 5
May  2002
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Chen Junli, Yang Xinxing, Jiao Licheng . Orthogonal multiwavelet packet theory[J]. Journal of Electronics & Information Technology, 2002, 24(5): 621-625.
Citation: Chen Junli, Yang Xinxing, Jiao Licheng . Orthogonal multiwavelet packet theory[J]. Journal of Electronics & Information Technology, 2002, 24(5): 621-625.

Orthogonal multiwavelet packet theory

  • Received Date: 2000-11-14
  • Rev Recd Date: 2001-03-14
  • Publish Date: 2002-05-19
  • In this paper, the goal is to generalize the notions and properties of Wavelet packet to multiwavelet packet and to develop the theoretical framework of raultiwavelet packet. Moreover, the proof is given.
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  • 赵松年,熊小芸,子波变换与子波分析,北京,电子工业出版社,1997,第二章.[2]R.R. Coifman, V. Wickerhauser, Entropy-based algorithms for best basis selection, IEEE Trans.on IT, 1992, IT-38(2), 713-718.[3]J.S. Geronimo, D. P. Hardin, P. R. Massopust, Fractal function and wavelet expansions based on several scaling functions, J. Approx. Theory, 1994, 78(3), 373-401.[4]X.G. Xia, J. S. Geronimo, D. P. Hardin, B. W. Suter, Design of prefilters for discrete multiwavelet transform, IEEE Trans. on SP, 1996, 44(1), 25-35.[5]X.G. Xia, A new prefilter design for disctete multiwavelet transforms, IEEE Trans. on SP, 1998,46(6), 1558-1570.[6]V. Strela, P. N. Heller, G. Strang, P. Topiwala, C. Heil, The application of multiwavelet filter banks to image processing, IEEE Trans. on Image Processing, to be published.[7]M. Cotronei, L. Puccio, An Application of Multiwavelet Analysis to Signal Compression. in Surface Fitting and Multiresolution Method, A. Le Mehaute, C. Rabut, and L. Schumaker, Eds.Nashville, TN: Vanderbit Univ. Press, 1997, 75-82.[8]G. Strang. Eigenvalues of ( 2) H and convergence of the cascade algorithm. IEEE Trans. on SP, 1996, 44(2), 233-238.
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