Circuit and state-space realization of 2-D all-pass digital filters via the bilinear transform

Author

Varoufakis, S.J. ; Antoniou, G.E.

Author_Institution

Inst. of Inf. & Telecommun., Nat. Center for Sci. Res., Athens, Greece

Volume

38

Issue

9

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

1104

Lastpage

1107

Abstract

The problem of the circuit and state-space realization of first- and second-order two-dimensional (2-D) all-pass digital filters is considered. The method uses the 2-D bilinear transform. The multipliers and delay elements required for the realization equal the maximum number of the numerator or denominator coefficients of the given filter. The matrices A, b, and c^t and the scalar d of the Givone-Roesser state space model are derived, based on the circuit realization, for first- and second-order all-pass digital filters

Keywords

all-pass filters; filtering and prediction theory; network synthesis; state-space methods; transfer functions; two-dimensional digital filters; Givone-Roesser state space model; all-pass digital filters; bilinear transform; circuit realisation; delay elements; first order 2D filters; multipliers; second-order; state-space realization; Circuits; Cutoff frequency; Delay; Digital filters; Filtering theory; IIR filters; Sampling methods; State-space methods; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.83885

Filename

83885