Design of an optimal two-channel orthogonal filterbank using semidefinite programming

被引：11

作者：

Karmakar, Abhijit ^{[1
]}

Kumar, Arun

Patney, R. K.

机构：

[1] Cent Elect Engn Res Inst, Pilani 333031, Rajasthan, India

[2] Indian Inst Technol, Ctr Appl Res Elect, New Delhi 110016, India

[3] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India

来源：

IEEE SIGNAL PROCESSING LETTERS | 2007年 / 14卷 / 10期

关键词：

convex formulation; energy compaction finite impulse response (FIR) filter; orthogonal filterbank; semidefinite programming (SDP);

D O I：

10.1109/LSP.2007.896419

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 simple method for the design of an optimal two-channel finite impulse response (FIR) orthogonal filterbank that minimizes the stopband energy of the filter's impulse response using semidefinite programming (SDP) is presented. The convex formulation is obtained by representing the optimality criterion and the orthogonality constraints in terms of the autocorrelation sequence of the filter's impulse response and mapping them into the SDP framework. The resulting solution is equivalent to the solution obtained by the more complex analytical method.

引用

页码：692 / 694

页数：3

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