Design of complex-valued variable FIR digital filters and its application to the realization of arbitrary sampling rate conversion for complex signals

Author

Tsui, K.M. ; Chan, S.C. ; Tse, K.W.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Hong Kong, China

Volume

52

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

424

Lastpage

428

Abstract

This brief studies the design of complex-valued variable digital filters (CVDFs) and their applications to the efficient arbitrary sample rate conversion for complex signals. The design of CVDFs using either the minimax or least-squares criteria is formulated as a convex optimization problem and solved using the second-order cone programming (SOCP). In addition, linear and convex quadratic inequality constraints can be readily incorporated. Design examples are given to demonstrate the effectiveness of the proposed approach.

Keywords

FIR filters; circuit complexity; circuit optimisation; convex programming; least squares approximations; minimax techniques; signal sampling; CVDF; arbitrary sampling rate conversion; complex signals; complex-valued variable FIR digital filters; convex optimization problem; convex quadratic inequality constraints; least-squares criteria; linear quadratic inequality constraints; minimax criteria; second-order cone programming; signal processing; Delay; Digital filters; Finite impulse response filter; Linear programming; Minimax techniques; Passband; Sampling methods; Signal design; Signal processing; Vectors; Complex-valued variable digital filter (CVDF) design; flatness and peak error constraints; low delay; sampling rate conversion; second-order cone programming (SOCP);

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.850405

Filename

1468344