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Stefan Schäffler
Verallgemeinerte Funktionen
Grundlagen und Anwendungsbeispiele

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Cover of Stefan Schäffler: Verallgemeinerte Funktionen (PDF)

Dieses essential bietet eine Einführung in die theoretischen Grundlagen und Anwendungen der verallgemeinerten Funktionen. Nach zwei typischen Anwendungen verallgemeinerter Funktionen wird die Theorie entwickelt, wobei zum besseren Verständnis nur die fundamentalen Ideen vorgestellt werden, sodass keine funktionalanalytischen Kenntnisse vorausgesetzt werden. Danach folgt eine systemtheoretische Untersuchung von LTI-Systemen unter Einbeziehung der Dirac-Distribution und die Modellierung gezupfter schwingender Saiten. Den Abschluss bildet die Modellierung technischer Rauschprozesse am Beispiel des kontinuierlichen weißen Rauschens.

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Table of Content

Signalübertragung und schwingende Saite.- Darstellung von Funktionen durch Funktionale und Distributionen.- LTI-Systeme, schwache Lösungen und Rauschprozesse.

About the author

Prof. Dr. Dr. Stefan Schäffler ist Ordinarius für Mathematik und Operations Research an der Universität der Bundeswehr München.

Language German ● Format PDF ● Pages 41 ● ISBN 9783658238575 ● File size 1.6 MB ● Publisher Springer Fachmedien Wiesbaden ● City Wiesbaden ● Country DE ● Published 2018 ● Downloadable 24 months ● Currency EUR ● ID 6720446 ● Copy protection Social DRM

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