Fourier Analysis of Time Series

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471653993
Total Pages : 285 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Fourier Analysis of Time Series by : Peter Bloomfield

Download or read book Fourier Analysis of Time Series written by Peter Bloomfield and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new, revised edition of a yet unrivaled work on frequency domain analysis Long recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his applied, easy-to-understand approach, Peter Bloomfield brings his well-known 1976 work thoroughly up to date. With a minimum of mathematics and an engaging, highly rewarding style, Bloomfield provides in-depth discussions of harmonic regression, harmonic analysis, complex demodulation, and spectrum analysis. All methods are clearly illustrated using examples of specific data sets, while ample exercises acquaint readers with Fourier analysis and its applications. The Second Edition: * Devotes an entire chapter to complex demodulation * Treats harmonic regression in two separate chapters * Features a more succinct discussion of the fast Fourier transform * Uses S-PLUS commands (replacing FORTRAN) to accommodate programming needs and graphic flexibility * Includes Web addresses for all time series data used in the examples An invaluable reference for statisticians seeking to expand their understanding of frequency domain methods, Fourier Analysis of Time Series, Second Edition also provides easy access to sophisticated statistical tools for scientists and professionals in such areas as atmospheric science, oceanography, climatology, and biology.

Fourier Analysis of Time Series

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Author :
Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fourier Analysis of Time Series by : Peter Bloomfield

Download or read book Fourier Analysis of Time Series written by Peter Bloomfield and published by . This book was released on 1976 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new, revised edition of a yet unrivaled work on frequency domain analysis Long recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his applied, easy-to-understand approach, Peter Bloomfield brings his well-known 1976 work thoroughly up to date. With a minimum of mathematics and an engaging, highly rewarding style, Bloomfield provides in-depth discussions of harmonic regression, harmonic analysis, complex demodulation, and spectrum analysis. All methods are clearly illustrated using examples of specific data sets, while ample exercises acquaint readers with Fourier analysis and its applications. The Second Edition: * Devotes an entire chapter to complex demodulation * Treats harmonic regression in two separate chapters * Features a more succinct discussion of the fast Fourier transform * Uses S-PLUS commands (replacing FORTRAN) to accommodate programming needs and graphic flexibility * Includes Web addresses for all time series data used in the examples An invaluable reference for statisticians seeking to expand their understanding of frequency domain methods, Fourier Analysis of Time Series, Second Edition also provides easy access to sophisticated statistical tools for scientists and professionals in such areas as atmospheric science, oceanography, climatology, and biology.

Analyzing Neural Time Series Data

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Author :
Publisher : MIT Press
ISBN 13 : 0262019876
Total Pages : 615 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Analyzing Neural Time Series Data by : Mike X Cohen

Download or read book Analyzing Neural Time Series Data written by Mike X Cohen and published by MIT Press. This book was released on 2014-01-17 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the conceptual, mathematical, and implementational aspects of analyzing electrical brain signals, including data from MEG, EEG, and LFP recordings. This book offers a comprehensive guide to the theory and practice of analyzing electrical brain signals. It explains the conceptual, mathematical, and implementational (via Matlab programming) aspects of time-, time-frequency- and synchronization-based analyses of magnetoencephalography (MEG), electroencephalography (EEG), and local field potential (LFP) recordings from humans and nonhuman animals. It is the only book on the topic that covers both the theoretical background and the implementation in language that can be understood by readers without extensive formal training in mathematics, including cognitive scientists, neuroscientists, and psychologists. Readers who go through the book chapter by chapter and implement the examples in Matlab will develop an understanding of why and how analyses are performed, how to interpret results, what the methodological issues are, and how to perform single-subject-level and group-level analyses. Researchers who are familiar with using automated programs to perform advanced analyses will learn what happens when they click the “analyze now” button. The book provides sample data and downloadable Matlab code. Each of the 38 chapters covers one analysis topic, and these topics progress from simple to advanced. Most chapters conclude with exercises that further develop the material covered in the chapter. Many of the methods presented (including convolution, the Fourier transform, and Euler's formula) are fundamental and form the groundwork for other advanced data analysis methods. Readers who master the methods in the book will be well prepared to learn other approaches.

Time Series

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Publisher : SIAM
ISBN 13 : 0898715016
Total Pages : 556 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Time Series by : David R. Brillinger

Download or read book Time Series written by David R. Brillinger and published by SIAM. This book was released on 2001-09-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text employs basic techniques of univariate and multivariate statistics for the analysis of time series and signals.

Fourier Analysis and Stochastic Processes

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Publisher : Springer
ISBN 13 : 3319095900
Total Pages : 396 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Fourier Analysis and Stochastic Processes by : Pierre Brémaud

Download or read book Fourier Analysis and Stochastic Processes written by Pierre Brémaud and published by Springer. This book was released on 2014-09-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Digital Time Series Analysis

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Digital Time Series Analysis by : Robert K. Otnes

Download or read book Digital Time Series Analysis written by Robert K. Otnes and published by Wiley-Interscience. This book was released on 1972 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preliminary concepts -- Preprocessing of data -- Recursive digital filtering -- Fourier series and Fourier transform computations -- General considerations in computing power spectral density -- Correlation function and Blackman-Tukey spectrum computations -- Power and cross spectra from fast Fourier transforms -- Filter methods for the power spectral density -- Transfer function and coherence function computations -- Probability density function computations -- Miscellaneous techniques -- Test case and examples.

Time Series Data Analysis in Oceanography

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Publisher : Cambridge University Press
ISBN 13 : 1108474276
Total Pages : 483 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Time Series Data Analysis in Oceanography by : Chunyan Li

Download or read book Time Series Data Analysis in Oceanography written by Chunyan Li and published by Cambridge University Press. This book was released on 2022-05-05 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook for students and researchers in oceanography and Earth science on theory and practice of time series analysis using MATLAB.

Fundamentals of Clinical Data Science

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Publisher : Springer
ISBN 13 : 3319997130
Total Pages : 219 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Fundamentals of Clinical Data Science by : Pieter Kubben

Download or read book Fundamentals of Clinical Data Science written by Pieter Kubben and published by Springer. This book was released on 2018-12-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book comprehensively covers the fundamentals of clinical data science, focusing on data collection, modelling and clinical applications. Topics covered in the first section on data collection include: data sources, data at scale (big data), data stewardship (FAIR data) and related privacy concerns. Aspects of predictive modelling using techniques such as classification, regression or clustering, and prediction model validation will be covered in the second section. The third section covers aspects of (mobile) clinical decision support systems, operational excellence and value-based healthcare. Fundamentals of Clinical Data Science is an essential resource for healthcare professionals and IT consultants intending to develop and refine their skills in personalized medicine, using solutions based on large datasets from electronic health records or telemonitoring programmes. The book’s promise is “no math, no code”and will explain the topics in a style that is optimized for a healthcare audience.

Handbook of Time Series Analysis, Signal Processing, and Dynamics

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Author :
Publisher : Elsevier
ISBN 13 : 0080507875
Total Pages : 756 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Time Series Analysis, Signal Processing, and Dynamics by : D. S.G. Pollock

Download or read book Handbook of Time Series Analysis, Signal Processing, and Dynamics written by D. S.G. Pollock and published by Elsevier. This book was released on 1999-10-26 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to serve as a graduate text and reference in time series analysis and signal processing, two closely related subjects that are the concern of a wide range of disciplines, such as statistics, electrical engineering, mechanical engineering and physics.The book provides a CD-ROM containing codes in PASCAL and C for the computer procedures printed in the book. It also furnishes a complete program devoted to the statistical analysis of time series, which will be attractive to a wide range of academics working in diverse mathematical disciplines.

The Spectral Analysis of Time Series

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Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Spectral Analysis of Time Series by : Lambert Herman Koopmans

Download or read book The Spectral Analysis of Time Series written by Lambert Herman Koopmans and published by . This book was released on 1974 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Spectral Analysis of Time Series ...

Data-Driven Science and Engineering

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Publisher : Cambridge University Press
ISBN 13 : 1009098489
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton

Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

A Primer on Fourier Analysis for the Geosciences

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Publisher : Cambridge University Press
ISBN 13 : 1107142881
Total Pages : 191 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Primer on Fourier Analysis for the Geosciences by : Robin Crockett

Download or read book A Primer on Fourier Analysis for the Geosciences written by Robin Crockett and published by Cambridge University Press. This book was released on 2019-02-14 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive introduction to basic Fourier theory, with numerous practical applications from the geosciences and worked examples in R.

Time Series in the Frequency Domain

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Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Time Series in the Frequency Domain by : David R. Brillinger

Download or read book Time Series in the Frequency Domain written by David R. Brillinger and published by . This book was released on 1983 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This volume of the Handbook is concerned particularly with the frequency side, or spectrum, approach to time series analysis. This approach involves essential use of sinusoids and bands of (angular) frequency, with Fourier transforms playing an important role. A principal activity is thinking of systems, their inputs, outputs, and behavior in sinusoidal terms. In many cases, the frequency side approach turns out to be simpler with respect to computational, mathematical, and statistical aspects. In the frequency approach, an assumption of stationarity is commonly made. However, the essential roles played by the techniques of complex demodulation and seasonal adjustment show that stationarity is far from being a necessary condition. Assumptions of Gaussianity and linearity are also commonly made and yet, as a variety of the papers illustrate, these assumptions are not necessary. This volume complements Handbook of Statistics 5: Time Series in the

Introduction to Statistical Time Series

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Publisher : John Wiley & Sons
ISBN 13 : 9780471552390
Total Pages : 738 pages
Book Rating : 4.5/5 (523 download)

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Book Synopsis Introduction to Statistical Time Series by : Wayne A. Fuller

Download or read book Introduction to Statistical Time Series written by Wayne A. Fuller and published by John Wiley & Sons. This book was released on 1995-12-29 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of time series is of considerable interest, especiallyamong researchers in econometrics, engineering, and the naturalsciences. As part of the prestigious Wiley Series in Probabilityand Statistics, this book provides a lucid introduction to thefield and, in this new Second Edition, covers the importantadvances of recent years, including nonstationary models, nonlinearestimation, multivariate models, state space representations, andempirical model identification. New sections have also been addedon the Wold decomposition, partial autocorrelation, long memoryprocesses, and the Kalman filter. Major topics include: * Moving average and autoregressive processes * Introduction to Fourier analysis * Spectral theory and filtering * Large sample theory * Estimation of the mean and autocorrelations * Estimation of the spectrum * Parameter estimation * Regression, trend, and seasonality * Unit root and explosive time series To accommodate a wide variety of readers, review material,especially on elementary results in Fourier analysis, large samplestatistics, and difference equations, has been included.

An Introduction to Fourier Analysis

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Publisher : CRC Press
ISBN 13 : 1498773710
Total Pages : 402 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis An Introduction to Fourier Analysis by : Russell L. Herman

Download or read book An Introduction to Fourier Analysis written by Russell L. Herman and published by CRC Press. This book was released on 2016-09-19 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms. After reading this book, students will be familiar with: • Convergence and summation of infinite series • Representation of functions by infinite series • Trigonometric and Generalized Fourier series • Legendre, Bessel, gamma, and delta functions • Complex numbers and functions • Analytic functions and integration in the complex plane • Fourier and Laplace transforms. • The relationship between analog and digital signals Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.

Time Series Analysis Papers

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Time Series Analysis Papers by : Emanuel Parzen

Download or read book Time Series Analysis Papers written by Emanuel Parzen and published by . This book was released on 1967 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: On consistent estimates of the spectral density of a stationary time series; Analysis of a general system for the detection of amplitude-modulated noise; A central limit theorem for multilinear stochastic processes; Conditions that a stochastic process ber egodic; On consistent estimates of the spectrum of a stationary time series; On choosing an estimate of the spectral density function of a stationary time series; On asymptotically efficient consistent estimates of the spectral density function of a stationary time series; General considerations in the analysis of spectra; Mathematical considerations in the estimation of spectra; Spectral analysis of asymptotically stationary time series; On spectral analysis with missing observations and amplitude modulation; Notes on fourier analysis and spectral windows; Statistical inference on time series by Hilbert space methods; An approach to time series analysis; Regression analysis of continuous parameter time series; A new approach to the synthesis of optimal smoothing and prediction systems; Probability density functionals and reproducing kernel hilbert spaces; Extraction and detection problems and reproducing kernel hilbert spaces; On estimation of a probability density function and mode; On models for the probability of fatigue failure of a structure; An approach to empirical time series analysis.

The Analysis of Time Series

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Author :
Publisher : CRC Press
ISBN 13 : 0203491688
Total Pages : 349 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis The Analysis of Time Series by : Chris Chatfield

Download or read book The Analysis of Time Series written by Chris Chatfield and published by CRC Press. This book was released on 2016-03-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1975, The Analysis of Time Series: An Introduction has introduced legions of statistics students and researchers to the theory and practice of time series analysis. With each successive edition, bestselling author Chris Chatfield has honed and refined his presentation, updated the material to reflect advances in the field, and presented interesting new data sets. The sixth edition is no exception. It provides an accessible, comprehensive introduction to the theory and practice of time series analysis. The treatment covers a wide range of topics, including ARIMA probability models, forecasting methods, spectral analysis, linear systems, state-space models, and the Kalman filter. It also addresses nonlinear, multivariate, and long-memory models. The author has carefully updated each chapter, added new discussions, incorporated new datasets, and made those datasets available for download from www.crcpress.com. A free online appendix on time series analysis using R can be accessed at http://people.bath.ac.uk/mascc/TSA.usingR.doc. Highlights of the Sixth Edition: A new section on handling real data New discussion on prediction intervals A completely revised and restructured chapter on more advanced topics, with new material on the aggregation of time series, analyzing time series in finance, and discrete-valued time series A new chapter of examples and practical advice Thorough updates and revisions throughout the text that reflect recent developments and dramatic changes in computing practices over the last few years The analysis of time series can be a difficult topic, but as this book has demonstrated for two-and-a-half decades, it does not have to be daunting. The accessibility, polished presentation, and broad coverage of The Analysis of Time Series make it simply the best introduction to the subject available.