Optimal design of complex FIR filters with arbitrary magnitude and group delay responses

被引：24

作者：

Lee, WR ^{[1
]}

Caccetta, L

Teo, KL

Rehbock, V

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Western Australian Ctr Excellence Ind Optimizat, Perth, WA 6845, Australia

[2] Hong Kong Polytech Univ, Dept Elect & Informat Technol, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

[3] Hong Kong Polytech Univ, Dept Elect & Informat Technol, Ctr Multimedia Signal Proc, Kowloon, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2006年 / 54卷 / 05期

关键词：

complex finite impulse response (FIR) filters; optimal design; weighted least squares;

D O I：

10.1109/TSP.2006.872542

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：

This paper presents a method for the frequency-domain design of digital finite impulse response filters with arbitrary magnitude and group delay responses. The method can deal with both the equiripple design problem and the peak constrained least squares (PCLS) design problem. Consequently, the method can also be applied to the equiripple passbands and PCLS stopbands design problem as a special case of the PCLS design. Both the equiripple and the PCLS design problems are converted into weighted least squares optimization problems. They are then solved iteratively with appropriately updated error weighting functions. A novel scheme for updating the error weighting function is developed to incorporate the design requirements. Design examples are included in order to compare the performance of the filters designed using the proposed scheme and several other existing methods.

引用

页码：1617 / 1628

页数：12

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