Variable magnitude characteristics of 1-D IIR discrete filters by a generalized bilinear transformation

Abstract

-

An IIR digital video equalizer design with the Bernstein Polynomial and generalized bilinear transformation for gain chrominance distortion

“…In this paper, a new approach for obtaining variable magnitude characteristics is given by the generalization of the bilinear transformation. Specifically, a general bilinear transformation of the type is applied to the starting analog transfer function [5][6]. …”

“…According to [6], for all other general bilinear transformations, the circle so obtained in order to ensure stability is contained within this unit circle.…”

“…The aim of this paper is to design of video equalizer is solved by using the Bernstein Polynomials [3][4] and map into z-domain based on generalized bilinear transformation [5][6] in order to obtain the discrete transfer function. Prominent points obtained using the Bernstein Polynomial when compared to the Butterworth, Chebyshev and Thomson Polynomial are three parameters available control the amount of phase and magnitude, linear phase, and flexible for variable of phase [7][8].…”

Design of two-dimensional digital filters having monotonic amplitude-frequency responses using Darlington-type gyrator networks

“…In order to generate a stable analog transfer function H G1 (s 1 , s 2 , g), the impedances Z 1 and Z 2 of Filter 1 ( Fig.1(a)) are replaced by the impedances of the second-order Gargour and Ramachandran filters [7], which are as follows: The impedances are obtained by first applying the GBT given by…”

“…The extension of Darlingtonsynthesis to two-variable positive real functions is given in [5], [6]; but they do not contain gyrators. From the 2-D stable transfer functions so obtained, the GBT [7] is applied to obtain 2-D digital functions and their properties are studied. (1) where, the coefficients of H(s 1 ,s 2 ,g) are functions of g.…”