System Analysis

Beschreibung

This book gives an introduction on the modelling of linear systems, on simulation methods for solving the related model equations and on visualization techniques for the interpretation of the frequency analysis using the computer program Maple: Starting with the modelling of electric circuits that consist of R- (Resistors), L- (Inductors) or C- (Capacitors) we introduce a description to model any kind of circuits that consist of as many elements as necessary. We continue with the modelling of the time behavior the electrical systems. This is done by the setup of ordinary differential equations. With the help of Maple we solve these differential equations numerically in order to get the impulse response. Finally, we analyze systems by means of the frequency analysis. Using mathematical algorithms like FFT we identify the frequency behavior of the systems. Once again by visualizing the results we identify the relationship between frequency analysis and system theory: impulse signal, impulse response, transfer function, and system function.

Autor*in

Thomas Westermann
Professor Westermann studied Mathematics and Physics at the University Konstanz, Germany with Diploma degree in mathematics. The focus of the studies was on applied mathematics. He received his doctorate in computer physics. Since then he has been Professor of Applied Mathematics and Computer Simulation at of the University of Applied Sciences, Karlsruhe. For his didactic concept with Maple, the author was awarded the G.A. Müller Prize and he received the Teaching Prize of the State of Baden-Württemberg also for his didactically outstanding textbooks.

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DSP Maple Signal Analysis Simulation System Analysis Visualization

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