Design of an Optimal Two-Channel Orthogonal Filterbank Using Semidefinite Programming

Author

Karmakar, Abhijit ; Kumar, Arun ; Patney, R.K.

Author_Institution

Central Electron. Eng. Res. Inst., Pilani

Volume

14

Issue

10

fYear

2007

Firstpage

692

Lastpage

694

Abstract

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.

Keywords

FIR filters; channel bank filters; convex programming; correlation methods; autocorrelation sequence; channel bank filter; convex formulation; finite impulse response filter; optimal two-channel orthogonal filterbank; semidefinite programming; Algorithm design and analysis; Autocorrelation; Compaction; Design methodology; Filter bank; Finite impulse response filter; Iterative algorithms; Linear programming; Power engineering and energy; Signal processing; Convex formulation; energy compaction finite impulse response (FIR) filter; orthogonal filterbank; semidefinite programming (SDP);

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2007.896419

Filename

4303071