An Introduction to Nonharmonic Fourier Series

Author: Robert M. Young
Publisher: Academic Press
ISBN: 9780127729558
Format: PDF, ePub, Docs
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An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations.

Applications in Time Frequency Signal Processing

Author: Antonia Papandreou-Suppappola
Publisher: CRC Press
ISBN: 1351835904
Format: PDF, ePub, Mobi
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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.

Fundamentals of Circuits and Filters

Author: Wai-Kai Chen
Publisher: CRC Press
ISBN: 9781420058888
Format: PDF, Docs
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This volume, drawn from the Circuits and Filters Handbook, focuses on mathematics basics; circuit elements, devices, and their models; and linear circuit analysis. It examines Laplace transformation, Fourier methods for signal analysis and processing, z-transform, and wavelet transforms. It also explores network laws and theorems, terminal and port represetnation, analysis in the frequency domain, and more. For the complete set, see catalog no. 55275.

Computer Aided Systems Theory EUROCAST 93

Author: Roberto Moreno Diaz
Publisher: Springer Science & Business Media
ISBN: 9783540576013
Format: PDF, ePub, Docs
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This volume contains a selection of papers presented at the third European Computer Aided Systems Theory workshop, EUROCAST '93, held in Spain in February 1993. The workshop emphasizes interdisciplinarity with the specificgoal of creating a synergy between fields such as systems theory, computer science, systems engineering and related areas. The contributions in this volume are strongly related to current problems in CAST research. They emphasize an engineering point of view concerning systems theory. Since the computer is an essential instrument in CAST research, there are close relations to specific topics incomputer science. The papers are grouped into parts on systems theory and systems technology, specific methods, and applications.

An Introduction to Basic Fourier Series

Author: Sergei Suslov
Publisher: Springer Science & Business Media
ISBN: 9781402012211
Format: PDF, Docs
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It was with the publication of Norbert Wiener's book ''The Fourier In tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.