Design of prefilters for discrete multiwavelet transforms
作者： X.-G. Xia , J.S. Geronimo , D.P. Hardin , B.W. Suter
DOI: 10.1109/78.482009
关键词: Algorithm 、 Filter (signal processing) 、 Stationary wavelet transform 、 Filter bank 、 Digital filter 、 Wavelet transform 、 Mathematics 、 Harmonic wavelet transform 、 Mathematical optimization 、 Discrete wavelet transform 、 Cascade algorithm
摘要: The pyramid algorithm for computing single wavelet transform coefficients is well known. can be implemented by using tree-structured multirate filter banks. authors propose a general to compute multiwavelet adding proper premultirate banks before the vector that generate multiwavelets. proposed thought of as discrete vector-valued certain discrete-time signals. also then present some numerical experiments illustrate performance algorithm, which indicates energy compaction transforms may better than one conventional transforms.
core.ac.uk
harvard.edu
udel.edu 
sci-hub.se 参考文章(28)
P.N. Heller, V. Strela, G. Strang, P. Topiwala, C. Heil, L.S. Hills, Multiwavelet filter banks for data compression international symposium on circuits and systems. ,vol. 3, pp. 1796- 1799 ,(1995) , 10.1109/ISCAS.1995.523762
Peter Rieder, Jiirgen Gotze, Josef A Nossek, Multiwavelet transforms based on several scaling functions ieee sp international symposium on time frequency and time scale analysis. pp. 393- 396 ,(1994) , 10.1109/TFSA.1994.467330
M. Vetterli, G. Strang, Time-varying filter banks and multiwavelets international conference on digital signal processing. pp. 223- 226 ,(1994) , 10.1109/DSP.1994.379836
T. N. T. Goodman, S. L. Lee, W. S. Tang, Wavelets in wandering subspaces Transactions of the American Mathematical Society. ,vol. 338, pp. 639- 654 ,(1993) , 10.1090/S0002-9947-1993-1117215-0
Gilbert Strang, Orthogonal multiwavelets with vanishing moments Optical Engineering. ,vol. 33, pp. 2104- 2107 ,(1994) , 10.1117/12.172247
O. Rioul, M. Vetterli, Wavelets and signal processing IEEE Signal Processing Magazine. ,vol. 8, pp. 14- 38 ,(1991) , 10.1109/79.91217
I. Daubechies, The wavelet transform, time-frequency localization and signal analysis IEEE Transactions on Information Theory. ,vol. 36, pp. 961- 1005 ,(1990) , 10.1109/18.57199
G. Strang, V. Strela, Short wavelets and matrix dilation equations IEEE Transactions on Signal Processing. ,vol. 43, pp. 108- 115 ,(1995) , 10.1109/78.365291
Christopher Heil, Gilbert Strang, Vasily Strela, Approximation by translates of refinable functions Numerische Mathematik. ,vol. 73, pp. 75- 94 ,(1996) , 10.1007/S002110050185
Charles A. Micchelli, Yuesheng Xu, Using the Matrix Refinement Equation for the Construction of Wavelets on Invariant Sets Applied and Computational Harmonic Analysis. ,vol. 1, pp. 391- 401 ,(1994) , 10.1006/ACHA.1994.1024