Fourier Analysis And Stochastic Processes
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Fourier Analysis And Stochastic Processes
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Author : Pierre Brémaud
language : en
Publisher: Springer
Release Date : 2014-09-16
Fourier Analysis And Stochastic Processes written by Pierre Brémaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Mathematics categories.
This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes). It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals structured by point processes is a novel addition to the literature on Fourier analysis of stochastic processes. It also connects the theory with recent lines of research such as biological spike signals and ultrawide-band communications. Although the treatment is mathematically rigorous, the convivial style makes the book accessible to a large audience. In particular, it will be interesting to anyone working in electrical engineering and communications, biology (point process signals) and econometrics (arma models). Each chapter has an exercise section, which makes Fourier Analysis and Stochastic Processes suitable for a graduate course in applied mathematics, as well as for self-study.
Fourier Analysis Of Stochastic Processes
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Author : Pierre Bremaud
language : en
Publisher:
Release Date : 2003-10
Fourier Analysis Of Stochastic Processes written by Pierre Bremaud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10 with categories.
Fourier Analysis Of Stochastic Processes
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Author :
language : en
Publisher:
Release Date : 1983
Fourier Analysis Of Stochastic Processes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Fourier Analysis Of Stochastic Processes
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Author : Tatsuo Kawata
language : en
Publisher:
Release Date : 1983
Fourier Analysis Of Stochastic Processes written by Tatsuo Kawata and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Fourier series categories.
Neuropeptides And Immunoregulation
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Author : Berta Scharrer
language : en
Publisher:
Release Date : 1994
Neuropeptides And Immunoregulation written by Berta Scharrer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
A Handbook Of Time Series Analysis Signal Processing And Dynamics
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Author : D. S. G. Pollock
language : en
Publisher: Academic Press
Release Date : 1999
A Handbook Of Time Series Analysis Signal Processing And Dynamics written by D. S. G. Pollock and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
CD-ROM contains: Pascal and C code and programs -- bibliography of the book -- text of book -- tutorials.
Handbook Of Fourier Analysis Its Applications
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Author : Robert J Marks II
language : en
Publisher: Oxford University Press
Release Date : 2009-01-08
Handbook Of Fourier Analysis Its Applications written by Robert J Marks II and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-08 with Technology & Engineering categories.
Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a signal into its component frequencies and their amplitudes. This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processing and related multidimensional transform theory, and quantum physics to elementary deterministic finance and even the foundations of western music theory. As a definitive text on Fourier Analysis, Handbook of Fourier Analysis and Its Applications is meant to replace several less comprehensive volumes on the subject, such as Processing of Multifimensional Signals by Alexandre Smirnov, Modern Sampling Theory by John J. Benedetto and Paulo J.S.G. Ferreira, Vector Space Projections by Henry Stark and Yongyi Yang and Fourier Analysis and Imaging by Ronald N. Bracewell. In addition to being primarily used as a professional handbook, it includes sample problems and their solutions at the end of each section and thus serves as a textbook for advanced undergraduate students and beginning graduate students in courses such as: Multidimensional Signals and Systems, Signal Analysis, Introduction to Shannon Sampling and Interpolation Theory, Random Variables and Stochastic Processes, and Signals and Linear Systems.
Fourier Analysis Of Economic Phenomena
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Author : Toru Maruyama
language : en
Publisher: Springer
Release Date : 2019-07-03
Fourier Analysis Of Economic Phenomena written by Toru Maruyama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Mathematics categories.
This is the first monograph that discusses in detail the interactions between Fourier analysis and dynamic economic theories, in particular, business cycles.Many economic theories have analyzed cyclical behaviors of economic variables. In this book, the focus is on a couple of trials: (1) the Kaldor theory and (2) the Slutsky effect. The Kaldor theory tries to explain business fluctuations in terms of nonlinear, 2nd-order ordinary differential equations (ODEs). In order to explain periodic behaviors of a solution, the Hopf-bifurcation theorem frequently plays a key role. Slutsky's idea is to look at the periodic movement as an overlapping effect of random shocks. The Slutsky process is a weakly stationary process, the periodic (or almost periodic) behavior of which can be analyzed by the Bochner theorem. The goal of this book is to give a comprehensive and rigorous justification of these ideas. Therefore, the aim is first to give a complete theory that supports the Hopftheorem and to prove the existence of periodic solutions of ODEs; and second to explain the mathematical structure of the Bochner theorem and its relation to periodic (or almost periodic) behaviors of weakly stationary processes.Although these two targets are the principal ones, a large number of results from Fourier analysis must be prepared in order to reach these goals. The basic concepts and results from classical as well as generalized Fourier analysis are provided in a systematic way.Prospective readers are assumed to have sufficient knowledge of real, complex analysis. However, necessary economic concepts are explained in the text, making this book accessible even to readers without a background in economics.
Applied Mathematics Series
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Author : United States. National Bureau of Standards. Computation Laboratory
language : en
Publisher:
Release Date : 1952
Applied Mathematics Series written by United States. National Bureau of Standards. Computation Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Mathematics categories.
Stationary Stochastic Processes For Scientists And Engineers
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Author : Georg Lindgren
language : en
Publisher: CRC Press
Release Date : 2013-10-11
Stationary Stochastic Processes For Scientists And Engineers written by Georg Lindgren and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-11 with Mathematics categories.
Suitable for a one-semester course, this text teaches students how to use stochastic processes efficiently. Carefully balancing mathematical rigor and ease of exposition, the book provides students with a sufficient understanding of the theory and a practical appreciation of how it is used in real-life situations. Special emphasis is on the interpretation of various statistical models and concepts as well as the types of questions statistical analysis can answer. To enable hands-on practice, MATLAB code is available online.