Overview
ABSTRACT
Conventionally, the specifications of a filter can be explicited either within the frequency domain or in the temporal domain, according to the nature of the problem to be solved and the technology involved. This article is limited to the presentation of the calculation methods for the transfer functions of linear electrical filters with one entry and one exit responding to a certain range of specifications. These devices, which play a significantly part in the information treatment and transmission techniques, are classified into two types. The attenuation filters separate the useful signals from the unwanted ones; the corrective filters modify the form of the incident signals.
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Read the articleAUTHORS
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Gaëlle LISSORGUES: Professor at ESIEE, PhD in electronics - Agrégée in applied physics and alumnus of the École normale supérieure de Cachan
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Corinne Berland: Professor at ESIEE, PhD in electronics engineering and former R engineer at Alcatel - This edition is an update of Paul BILDSTEIN's 1990 article Transfer Functions of Electrical Filters.
INTRODUCTION
For an overview of filtering, please refer to the article Filtering and electrical filtering. Foreword
to separate useful signals from unwanted ones: these are the attenuation filters;
modify the shape of incident signals: these are corrective filters.
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Transfer functions for electrical filters
Bibliography
References
Tools
Transfer function calculation software
Matlab (Math Works Inc.)
Mathematica
Mathcad
SCILAB
OCTAVE
Network analysis software
Various versions of Spice (Simulation Program with Integrated Circuits Emphasis ), and signal processing software.
Active filter synthesis
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