Optimal design of partial-band time-varying systems

Author

Campbell, W.M. ; Parks, T.W.

Author_Institution

SSTG, Motorola Inc., Scottsdale, AZ, USA

Volume

44

Issue

4

fYear

1997

fDate

4/1/1997 12:00:00 AM

Firstpage

274

Lastpage

283

Abstract

The design of partial-band linear periodically time-varying systems (PBTV) imitating linear time-invariant (LTI) systems is approached using a relative t² error criterion. This error criterion results from a natural extension of the Chebyshev error criterion for the design of LTI systems. A complete analysis of the error criterion is presented. An algorithm is introduced which finds a locally optimal solution. This algorithm is based on recent results in nonsmooth optimization. The methods introduced allow the designer to compare as well as design PBTV systems in a systematic and meaningful manner

Keywords

circuit optimisation; error analysis; filtering theory; time-varying filters; error criterion; linear periodically time-varying systems; locally optimal solution; nonsmooth optimization; optimal design; partial-band time-varying systems; Chebyshev approximation; Computational efficiency; Error analysis; Filtering; Finite impulse response filter; Fourier transforms; Frequency; Helium; Signal sampling; Time varying systems;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.566644

Filename

566644