Measuring time-frequency information content using the Renyi entropies
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چکیده
منابع مشابه
Measuring time-Frequency information content using the Rényi entropies
The generalized entropies of Rényi inspire new measures for estimating signal information and complexity in the time–frequency plane. When applied to a time–frequency representation (TFR) from Cohen’s class or the affine class, the Rényi entropies conform closely to the notion of complexity that we use when visually inspecting time–frequency images. These measures possess several additional int...
متن کاملMeasuring Time-Frequency Information and Complexity Using the Renyi Entropies - Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
In search of a n o n p a r a m e t r i c i nd ica to r of d e t e r m i n i s t i c s igna l complexi ty , we link the Rkny i e n t r o p i e s to t imef r equency r ep resen ta t ions . The resu l t i ng measures show promise in seve ra l s i t ua t ions where concepts like the t i m e b a n d w i d t h product fail.
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Renyi entropies of a black hole are evaluated by counting the states of the Hawking radiation which fills a thin shell surrounding the horizon. The width of the shell is determined from its energy content and the corresponding mass defect. The Bekenstein-Hawking formula for the entropy of the black hole is correctly reproduced.
متن کاملOn quantum Renyi entropies: a new generalization and some properties
Martin Müller-Lennert,1 Frédéric Dupuis,2 Oleg Szehr,3 Serge Fehr,4 and Marco Tomamichel5 Department of Mathematics, ETH Zurich, 8092 Zürich, Switzerland Department of Computer Science, Aarhus University, 8200 Aarhus, Denmark Department of Mathematics, Technische Universität München, 85748 Garching, Germany CWI (Centrum Wiskunde & Informatica), 1090 Amsterdam, The Netherlands Centre for Quantum...
متن کاملOn quantum Renyi entropies: a new definition and some properties
Martin Müller-Lennert,1 Frédéric Dupuis,2 Oleg Szehr,3 Serge Fehr,4 and Marco Tomamichel5 Department of Mathematics, ETH Zurich, 8092 Zürich, Switzerland Department of Computer Science, Aarhus University, 8200 Aarhus, Denmark Department of Mathematics, Technische Universität München, 85748 Garching, Germany CWI (Centrum Wiskunde & Informatica), 1090 Amsterdam, The Netherlands Centre for Quantum...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2001
ISSN: 0018-9448
DOI: 10.1109/18.923723