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Novel 3D visualization of Laplace and Fourier transforms

Journal article
Authors Lars Bengtsson
Published in Trends in Technical & Scientific Research
Volume 1
Issue 2
Pages 001-003
Publication year 2018
Published at Department of Physics (GU)
Pages 001-003
Language en
Links https://doi.org/10.19080/TTSR.2018....
https://juniperpublishers.com/ttsr/...
Keywords Laplace transform; Poles; zeros; Transfer function; Bode plot; MATLAB; Filter
Subject categories Mathematical Analysis, Signal Processing

Abstract

This paper will demonstrate how to illustrate poles and zeros of a filter’s transfer function as a 3D surface and how this facilitates an understanding of the relationship between the filter’s amplitude response and the poles’/zeros’ locations in s-space. The transfer function, in Laplace representation, is plotted as a function of the real and imaginary parts of the complex frequency s. This is exemplified for a Chebyshev-II low pass filter.

Page Manager: Webmaster|Last update: 9/11/2012
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