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The Wigner Distribution
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Book Synopsis The Wigner Distribution by : W. Mecklenbräuker
Download or read book The Wigner Distribution written by W. Mecklenbräuker and published by . This book was released on 1997-10-08 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seven contributions discuss in depth several aspects of one of the methods for representing both the frequency domain and the temporal localization of signals, which has tremendous importance in signal analysis and processing. Among them are properties like positivity, spread, and interference-term geometry; signal synthesis methods and their application to signal design, time- frequency filtering, and signal separation; the analysis of non- stationary random processes; singular value decompositions and their application to detection and classification; and optical applications of the Wigner Distribution. Also includes a bibliography of published works on the subject from 1985 to 1992. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis The Wigner Distribution Function by : G. J. Iafrate
Download or read book The Wigner Distribution Function written by G. J. Iafrate and published by . This book was released on 1981 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath
Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer. This book was released on 2014-11-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.
Book Synopsis On the Wigner Distribution by : Michael P. Doyle
Download or read book On the Wigner Distribution written by Michael P. Doyle and published by . This book was released on 1983 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Maurice A De Gosson Publisher :World Scientific Publishing Company ISBN 13 :1786343118 Total Pages :250 pages Book Rating :4.7/5 (863 download)
Book Synopsis The Wigner Transform by : Maurice A De Gosson
Download or read book The Wigner Transform written by Maurice A De Gosson and published by World Scientific Publishing Company. This book was released on 2017-03-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth and rigorous study of the Wigner transform and its variants. They are presented first within a context of a general mathematical framework, and then through applications to quantum mechanics. The Wigner transform was introduced by Eugene Wigner in 1932 as a probability quasi-distribution which allows expression of quantum mechanical expectation values in the same form as the averages of classical statistical mechanics. It is also used in signal processing as a transform in time-frequency analysis, closely related to the windowed Gabor transform.Written for advanced-level students and professors in mathematics and mathematical physics, it is designed as a complete textbook course providing analysis on the most important research on the subject to date. Due to the advanced nature of the content, it is also suitable for research mathematicians, engineers and chemists active in the field.
Book Synopsis The Wigner Function in Science and Technology by : David K. Ferry
Download or read book The Wigner Function in Science and Technology written by David K. Ferry and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is designed to give a background on the origins and development of Wigner functions, as well as its mathematical underpinnings. Along the way the authors emphasise the connections, and differences, from the more popular non-equilibrium Green's function approaches. But, the importance of the text lies in the discussions of the applications of the Wigner function in various fields of science, including quantum information, coherent optics, and superconducting qubits. These disciplines approach it differently, and the goal here is to give a unified background and highlight how it is utilized in the different disciplines." -- Prové de l'editor.
Download or read book Inequalities written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
Book Synopsis The Wigner distribution - a tool for time-frequency signal analysis. Part II: Discrete-time signals, Phil. J. Research, Vol. 35, 276-300 by : T. A. C. M. Claasen
Download or read book The Wigner distribution - a tool for time-frequency signal analysis. Part II: Discrete-time signals, Phil. J. Research, Vol. 35, 276-300 written by T. A. C. M. Claasen and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Wigner Distribution and the Ambiguity Function by : Nenad M. Marinovic
Download or read book The Wigner Distribution and the Ambiguity Function written by Nenad M. Marinovic and published by . This book was released on 1986 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Wigner Distribution and Its Application to Speech Analysis and Recognition by : David Bruce Chester
Download or read book The Wigner Distribution and Its Application to Speech Analysis and Recognition written by David Bruce Chester and published by . This book was released on 1982 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a Fundamental Property of the Wigner Distribution by : International Business Machines Corporation. Research Division
Download or read book On a Fundamental Property of the Wigner Distribution written by International Business Machines Corporation. Research Division and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Wigner distribution - a tool for time-frequency signal analysis. Part I: Continuous-time signals, Phil. J. Research, Vol. 35, 217-250 by : T. A. C. M. Claasen
Download or read book The Wigner distribution - a tool for time-frequency signal analysis. Part I: Continuous-time signals, Phil. J. Research, Vol. 35, 217-250 written by T. A. C. M. Claasen and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a Fundemental Property of the Wigner Distribution by : Leon Cohen
Download or read book On a Fundemental Property of the Wigner Distribution written by Leon Cohen and published by . This book was released on 1986 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Algorithms for Implementing the Wigner Distribution by : Mohammed Al-Hijazi
Download or read book Efficient Algorithms for Implementing the Wigner Distribution written by Mohammed Al-Hijazi and published by . This book was released on 1990 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Formation of Quantum Mechanical Operators by : John Robert Shewell
Download or read book On the Formation of Quantum Mechanical Operators written by John Robert Shewell and published by . This book was released on 1958 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wigner Distribution Function: Relation to Short-Term Spectral Estimation, Smoothing, and Performance in Noise by : Albert H. Nuttall
Download or read book Wigner Distribution Function: Relation to Short-Term Spectral Estimation, Smoothing, and Performance in Noise written by Albert H. Nuttall and published by . This book was released on 1988 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties and behavior of the Wigner Distribution Function (WDF) are investigated both analytically and by means of a number of simple informative examples. The lack of local temporal averaging when obtaining the instantaneous correlation function, and the lack of weighting the longer delay values when transforming to the instantaneous spectrum, are shown to be the causes of the deleterious interference effects that are inherent to the WDF. The equivalence of short-term spectral estimation to the smoothed WDF offers an attractive alternative with guaranteed positive distribution values and no interference effects. The performance of a processor which estimates the WDF of a signal waveform in the presence of additive noise is investigated in terms of the output mean, bias, and variance. Dependence on filtering the input and time-weighting is allowed and included in the analysis. Numerical application to a particular example is carried out. Keywords: Wigner distribution function; Short term spectral estimation; Smoothing; Noise performance; Linear frequency; Modulation; Interference effects; Gaussian amplitude modulation; Marginals; Moments; Spread of distribution; Positive distributions; Ambiguity function.
Book Synopsis Applications in Time-Frequency Signal Processing by : Antonia Papandreou-Suppappola
Download or read book Applications in Time-Frequency Signal Processing written by Antonia Papandreou-Suppappola and published by CRC Press. This book was released on 2018-10-03 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because most real-world signals, including speech, sonar, communication, and biological signals, are non-stationary, traditional signal analysis tools such as Fourier transforms are of limited use because they do not provide easily accessible information about the localization of a given frequency component. A more suitable approach for those studying non-stationary signals is the use of time frequency representations that are functions of both time and frequency. Applications in Time-Frequency Signal Processing investigates the use of various time-frequency representations, such as the Wigner distribution and the spectrogram, in diverse application areas. Other books tend to focus on theoretical development. This book differs by highlighting particular applications of time-frequency representations and demonstrating how to use them. It also provides pseudo-code of the computational algorithms for these representations so that you can apply them to your own specific problems. Written by leaders in the field, this book offers the opportunity to learn from experts. Time-Frequency Representation (TFR) algorithms are simplified, enabling you to understand the complex theories behind TFRs and easily implement them. The numerous examples and figures, review of concepts, and extensive references allow for easy learning and application of the various time-frequency representations.
