Passivity properties of low-sensitivity digital filter structures

Author

Vaidyanathan, P.P. ; Mitra, Sanjit K.

Volume

32

Issue

3

fYear

1985

fDate

3/1/1985 12:00:00 AM

Firstpage

217

Lastpage

224

Abstract

A general representation of a class of low passband sensitivity digital filter structures is proposed. The proposed representation for a transfer function of order $N$ consists of an $(N + 1)$ -pair memoryless system terminated at $N$ -pairs by delays. The $(N + 1)$ -pair system contains only adders and multipliers, and is described by an orthogonal transfer matrix. The set of terminating delays can be looked upon as an $N$ -pair system with transfer matrix $z^{-1}{\\bf 1}$ . Certain wave digital filter structures, Gray-Markel lattice structures and the coupled-form biquadratic section belong to the general form advanced here. Several properties satisfied in these special cases are derived in a unified manner using the generalized representation. Also, a quantization scheme that makes the structure free from zero-input limit cycles even under time-varying conditions is advanced, unifying similar such results independently reported for the above well-known structures.

Keywords

Digital filters; Passivity; Adders; Delay; Digital filters; Filtering; Lattices; Limit-cycles; Memoryless systems; Passband; Quantization; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1985.1085693

Filename

1085693