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Mehrdimensionale Lineare Systeme: Fourier-Transformation Und ?-Funktionen
Paperback
Series: Nachrichtentechnik, Book 20
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ISBN10: 3540510699
ISBN13: 9783540510697
Publisher: Springer
Published: Jul 25 1989
Pages: 246
Weight: 0.92
Height: 0.55 Width: 6.69 Depth: 9.61
Language: German
ISBN13: 9783540510697
Publisher: Springer
Published: Jul 25 1989
Pages: 246
Weight: 0.92
Height: 0.55 Width: 6.69 Depth: 9.61
Language: German
Das Buch gibt einen Überblick über die mathematischen Methoden der mehrdimensionalen Systemtheorie. Ausgehend von der Faltungsoperation, dem Delta-Impuls und der Fourier-Transformation werden Gemeinsamkeiten und Unterschiede beim Übergang von einer auf mehrere Dimensionen aufgezeigt. Auf die Vielfalt der Delta-Funktionen und Abtastschemata im Mehrdimensionalen wird besonders ausführlich eingegangen. Zahlreichen Beispiele und Abbildungen für den ein- und zweidimensionalen Fall sowie Hinweise auf Bildgewinnung und -verarbeitung veranschaulichen die mathematischen Herleitungen. Asymptotische Abschätzungen von Spektren bestimmter Signalklassen versuchen, dem Leser ein Gefühl für die Eigenheiten der ein- und mehrdimensionalen Fourier-Transformation zu vermitteln.Die Nützlichkeit der systemtheoretischen Betrachtungsweise wird schlie lich am Beispiel der Ausbreitung und Streuung skalarer Wellen demonstriert. Dabei werden Probleme und Methoden, die dem Physiker geläufig sind, in eine dem Nachrichtentechniker verständliche Sprache übersetzt.
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