Symmetric orthogonal complex-valued filter bank design by semidefinite programming

被引：8

作者：

Kha, Ha Hoang ^{[1
]}

Tuan, Hoang Duong

Vo, Ba-Ngu

Nguyen, Truong Q.

机构：

[1] Univ New S Wales, Sch Elect Engn & Telecommun, Sydney, NSW 2052, Australia

[2] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia

[3] Univ Calif San Diego, Dept Elect & Comp Engn, La Jolla, CA 92093 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2007年 / 55卷 / 09期

基金：

澳大利亚研究理事会;

关键词：

complex-valued filter bank; semidefinite programming (SDP); trigonometric polynomial;

D O I：

10.1109/TSP.2007.896288

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：

A new design method for complex-valued two-channel finite impulse response (FIR) filter banks with both orthogonality and symmetry properties is developed. Based on a novel linear matrix inequality (LMI) characterization of trigonometric curves, the optimal design of perfect-reconstruction filter banks is cast into a semidefinite programming (SDP) problem. The dimension of the resulting SDP problem is further reduced by exploiting convex duality. Consequently, the globally optimal solution can be found for any practical filter length and desired regularity order.

引用

页码：4405 / 4414

页数：10

共 21 条

[1] FIR DIGITAL-FILTERS WITH LEAST-SQUARES STOPBANDS SUBJECT TO PEAK-GAIN CONSTRAINTS
ADAMS, JW
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04): : 376 - 388
[2] Akansu A. N., 2001, MULTIRESOLUTION SIGN
[3] [Anonymous], 1993, Ten Lectures of Wavelets
[4] Boyd S., 2003, CONVEX OPTIMIZATION
[5] Linear matrix inequality formulation of spectral mask constraints with applications to FIR filter design
Davidson, TN
Luo, ZQ
Sturm, JF
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (11) : 2702 - 2715
[6] A study of two-channel complex-valued filterbanks and wavelets with orthogonality and symmetry properties
Gao, XQQ
Nguyen, TQ
Strang, G
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (04) : 824 - 833
[7] WAVELETS AND RECURSIVE FILTER BANKS
HERLEY, C
VETTERLI, M
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (08) : 2536 - 2556
[8] KHA HH, 2006, P 2006 IEEE INT C AC
[9] Complex wavelets for shift invariant analysis and filtering of signals
Kingsbury, N
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2001, 10 (03) : 234 - 253
[10] KINGSBURY N, 1999, P IEEE C ACOUST SPEE

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