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
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
收藏
页码:692 / 694
页数:3
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