Fourier transform theory is one of the most widely used tools in physical sciences to retrieve vital information about various physical phenomena. In general, because a Fourier transform is a complex quantity, both its phase and magnitude are required for a unique representation of the function of interest. However, in many applications, only the magnitude of the Fourier transform can be measured, and a direct measurement of its phase is rather difficult. This constitutes a fundamental limitation in many fields, since the function of interest cannot be recovered uniquely from its Fourier transform magnitude measurement alone. In this book, a special family of functions, so called the minimum-phase functions, for which the Fourier transform phase can be recovered from the Fourier transform magnitude alone, is discussed. We apply this concept to several important fields of physics, and show in each case that with a simple magnitude spectrum measurement and data processing, we can recover the function of interest unambiguously. In all cases, this approach has led to significant breakthroughs, as well as simpler and faster measurements and processing.
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Kartoniert / Broschiert. Zustand: New. Fourier transform theory is one of the most widelyused tools in physical sciences to retrieve vitalinformation about various physical phenomena. Ingeneral, because a Fourier transform is a complexquantity, both its phase and magnitud. Bestandsnummer des Verkäufers 4957811
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Taschenbuch. Zustand: Neu. NON-DESTRUCTIVE OPTICAL CHARACTERIZATION TOOLS | Spectral Interferometry Using Minimum-phase Functions | Aydogan Ozcan | Taschenbuch | Kartoniert / Broschiert | Englisch | 2008 | VDM Verlag Dr. Müller | EAN 9783639104493 | Verantwortliche Person für die EU: OmniScriptum GmbH & Co. KG, Bahnhofstr. 28, 66111 Saarbrücken, info[at]akademikerverlag[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 101698464
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Fourier transform theory is one of the most widelyused tools in physical sciences to retrieve vitalinformation about various physical phenomena. Ingeneral, because a Fourier transform is a complexquantity, both its phase and magnitude are requiredfor a unique representation of the function ofinterest. However, in many applications, only themagnitude of the Fourier transform can be measured,and a direct measurement of its phase is ratherdifficult. This constitutes a fundamental limitationin many fields, since the function of interest cannotbe recovered uniquely from its Fourier transformmagnitude measurement alone.In this book, a special family of functions, socalled the minimum-phase functions, for which theFourier transform phase can be recovered from theFourier transform magnitude alone, is discussed. Weapply this concept to several important fields ofphysics, and show in each case that with a simplemagnitude spectrum measurement and data processing,we can recover the function of interestunambiguously. In all cases, this approach has led tosignificant breakthroughs, as well as simpler andfaster measurements and processing. Bestandsnummer des Verkäufers 9783639104493
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