Minimax design of hybrid multirate filter banks

Author

Shu, Huang ; Chen, Tongwen ; Francis, Bruce A.

Author_Institution

Calgary Univ., Alta., Canada

Volume

44

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

120

Lastpage

128

Abstract

Hybrid multirate filter banks which consist of analog analysis filters, slow A/D converters, digital expanders, and digital synthesis filters are studied in this paper. The synthesis filters are designed to minimize the maximum energy gain of the error system, suitably weighted, between the filter bank and a fast A/D converter with some time delay. This hybrid and multirate problem is reduced to one of H^∞ optimization involving only linear time-invariant, discrete-time systems, which is then solvable. An example is discussed and studied in detail to illustrate aspects in the design process

Keywords

H^∞ optimisation; discrete time systems; filtering theory; minimax techniques; ADC; H^∞ optimization; analog analysis filters; digital expanders; digital synthesis filters; discrete-time systems; hybrid multirate filter banks; linear time-invariant systems; minimax design; slow A/D converters; time delay; Analog-digital conversion; Channel bank filters; Delay effects; Digital filters; Filter bank; Frequency; Hilbert space; Minimax techniques; Process design; Sampling methods;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.554442

Filename

554442