Optimization of symmetric self-Hilbertian filters for the dual-tree complex wavelet transform

被引：16

作者：

Dumitrescu, Bogdan ^{[1
]}

Bayram, Ilker ^{[2
]}

Selesnick, Ivan W. ^{[2
]}

机构：

[1] Tampere Univ Technol, Tampere Int Ctr Signal Proc, FIN 33101 Tampere, FIN-33101 Tampere, Finland

[2] Polytech Univ, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

来源：

IEEE SIGNAL PROCESSING LETTERS | 2008年 / 15卷 / 146-149期

基金：

芬兰科学院;

关键词：

complex wavelet; Hilbert pair; orthogonal filter banks; positive trigonometric polynomials;

D O I：

10.1109/LSP.2007.913609

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this letter, we expand upon the method of Tay et al for the design of orthonormal "Q-shift" filters for the dual-tree complex wavelet transform. The method of Tay et al searches for good Hilbert-pairs in a one-parameter family of conjugate-quadrature filters that have one vanishing moment less than the Daubechies conjugate-quadrature filters (CQFs). In this letter, we compute feasible sets for one- and two-parameter families of CQFs by employing the trace parameterization of nonnegative trigonometric polynomials and semidefinite programming. This permits the design of CQF pairs that define complex wavelets that are more nearly analytic, yet still have a high number of vanishing moments.

引用

页码：146 / 149

页数：4

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