The design of Hilbert transform pairs of wavelet bases via the flat delay filter

被引:0
|
作者
Selesnick, IW [1 ]
机构
[1] Polytech Univ, Brooklyn, NY 11201 USA
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中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper describes a simple procedure, based on spectral factorization, for the design of a pair of orthonormal wavelet bases where the two wavelets form a Hilbert transform pair. The two scaling filters respectively have the numerator and denominator of the flat delay all-pass filter as factors. The design procedure allows for an arbitrary number of zero wavelet moments to be specified. A Matlab program for the procedure is given, and examples are also given to illustrate the results.
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页码:3673 / 3676
页数:4
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