Modification of filter responses by the generalized bilinear transformations and the inverse bilinear transformations

Abstract

In this paper, modification of filter responses by the application of a generalized bilinear transformation and the inverse bilinear transformation has been investigated. The responses of low-pass, high-pass, band-pass and band-elimination filters are considered.

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]. …”

“…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 design the 2D digital band-pass and bandelimination filter, the following GBT [9] is applied to a stable analog transfer function. To ensure stability, the conditions to be satisfied are:…”