- Hauptmenü-

Katalogdatenanzeige

Weakly Nonlinear Systems: With Applications in Communications Systems

Kataloginformation Katalogdatensatz500402437 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
ISBN	978-3-031-40680-5
	978-3-031-40682-9
	978-3-031-40683-6
Name	Beffa, Federico ¬[VerfasserIn]¬
T I T E L	Weakly Nonlinear Systems
Zusatz zum Titel	With Applications in Communications Systems
Auflage	1st ed. 2024.
Verlagsort	Cham
Verlagsort	Cham
Verlag	Springer Nature Switzerland
Verlag	Imprint: Springer
Erscheinungsjahr	2024
	2024
	2024
Umfang	1 Online-Ressource(XIV, 371 p. 129 illus.)
Reihe	Understanding Complex Systems
Notiz / Fußnoten	Open Access
Titelhinweis	Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-031-40680-5
	Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-031-40682-9
	Erscheint auch als (Druck-Ausgabe)ISBN: 978-3-031-40683-6
ISBN	ISBN 978-3-031-40681-2
Klassifikation	TEC009000
	TBJ
	GPFC
	SCI064000
	515.39
Kurzbeschreibung	Introduction -- Distributions -- Convolution of Distributions -- Fourier Transform of Distributions -- Laplace Transform of Distributions -- Summable Distributions -- Convolution Equations -- Linear Time Invariant Systems -- WNTI Systems -- WNTI Systems Composition -- WNTI Circuits -- Linear Time-Varying Systems -- WNTV Systems -- Periodically Switched Circuits.
2. Kurzbeschreibung	The open access book covers a large class of nonlinear systems with many practical engineering applications. The approach is based on the extension of linear systems theory using the Volterra series. In contrast to the few existing treatments, our approach highlights the algebraic structure underlying such systems and is based on Schwartz’s distributions (rather than functions). The use of distributions leads naturally to the convolution algebras of linear time-invariant systems and the ones suitable for weakly nonlinear systems emerge as simple extensions to higher order distributions, without having to resort to ad hoc operators. The result is a much-simplified notation, free of multiple integrals, a conceptual simplification, and the ability to solve the associated nonlinear differential equations in a purely algebraic way. The representation based on distributions not only becomes manifestly power series alike, but it includes power series as the description of the subclass of memory-less, time-invariant, weakly nonlinear systems. With this connection, many results from the theory of power series can be extended to the larger class of weakly nonlinear systems with memory. As a specific application, the theory is specialised to weakly nonlinear electric networks. The authors show how they can be described by a set of linear equivalent circuits which can be manipulated in the usual way. The authors include many real-world examples that occur in the design of RF and mmW analogue integrated circuits for telecommunications. The examples show how the theory can elucidate many nonlinear phenomena and suggest solutions that an approach entirely based on numerical simulations can hardly suggest. The theory is extended to weakly nonlinear time-varying systems, and the authors show examples of how time-varying electric networks allow implementing functions unfeasible with time-invariant ones. The book is primarily intended for engineering students in upper semesters and in particular for electrical engineers. Practising engineers wanting to deepen their understanding of nonlinear systems should also find it useful. The book also serves as an introduction to distributions for undergraduate students of mathematics.
SWB-Titel-Idn	1868857743
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttps://doi.org/10.1007/978-3-031-40681-2
Internetseite / Link	Resolving-System

ISBD-Anzeige Katalogdatensatz500402437

Kategorien-Anzeige Katalogdatensatz500402437

Titel zur Titelsammlung hinzufügen Katalogdatensatz500402437

Kataloginformation500402437 Datensatzanfang . Kataloginformation500402437 Seitenanfang .

Titel vormerken Katalogdatensatz500402437

Vollanzeige Katalogdaten

Auf diesem Bildschirm erhalten Sie Katalog- und Exemplarinformationen zum ausgewählten Titel.

Im Bereich Kataloginformation werden die bibliographischen Details angezeigt. Per Klick auf Hyperlink-Begriffe wie Schlagwörter, Autoren, Reihen, Körperschaften und Klassifikationen können Sie sich weitere Titel des gewählten Begriffes anzeigen lassen.

Der Bereich Exemplarinformationen enthält zum einen Angaben über den Standort und die Verfügbarkeit der Exemplare. Zum anderen haben Sie die Möglichkeit, ausgeliehene Exemplare vorzumerken oder Exemplare aus dem Magazin zu bestellen.