Title :
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
fDate :
9/1/1991 12:00:00 AM
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 ct 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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
