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Author : Gwilym M. Jenkins,Donald G. Watts
Publisher : Unknown
Page : 554 pages
File Size : 44,6 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39015009231690
This book has been designed primarily for post-graduate engineers, since most of the applications of spectral analysis have been made by engineers and physicists - preface.
Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 616 pages
File Size : 52,8 Mb
Release : 1993-06-03
Category : Mathematics
ISBN : 0521435412
This book is an up-to-date introduction to univariate spectral analysis at the graduate level, which reflects a new scientific awareness of spectral complexity, as well as the widespread use of spectral analysis on digital computers with considerable computational power. The text provides theoretical and computational guidance on the available techniques, emphasizing those that work in practice. Spectral analysis finds extensive application in the analysis of data arising in many of the physical sciences, ranging from electrical engineering and physics to geophysics and oceanography. A valuable feature of the text is that many examples are given showing the application of spectral analysis to real data sets. Special emphasis is placed on the multitaper technique, because of its practical success in handling spectra with intricate structure, and its power to handle data with or without spectral lines. The text contains a large number of exercises, together with an extensive bibliography.
Author : S. Lawrence Marple
Publisher : Prentice Hall
Page : 522 pages
File Size : 50,8 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015030236270
Author : Silvia Maria Alessio
Publisher : Springer
Page : 900 pages
File Size : 48,6 Mb
Release : 2015-12-09
Category : Technology & Engineering
ISBN : 9783319254685
This book covers the basics of processing and spectral analysis of monovariate discrete-time signals. The approach is practical, the aim being to acquaint the reader with the indications for and drawbacks of the various methods and to highlight possible misuses. The book is rich in original ideas, visualized in new and illuminating ways, and is structured so that parts can be skipped without loss of continuity. Many examples are included, based on synthetic data and real measurements from the fields of physics, biology, medicine, macroeconomics etc., and a complete set of MATLAB exercises requiring no previous experience of programming is provided. Prior advanced mathematical skills are not needed in order to understand the contents: a good command of basic mathematical analysis is sufficient. Where more advanced mathematical tools are necessary, they are included in an Appendix and presented in an easy-to-follow way. With this book, digital signal processing leaves the domain of engineering to address the needs of scientists and scholars in traditionally less quantitative disciplines, now facing increasing amounts of data.
Author : Grant Hearn,Andrew Metcalfe
Publisher : Butterworth-Heinemann
Page : 320 pages
File Size : 41,6 Mb
Release : 1995-08-17
Category : Science
ISBN : 9780080541556
This text provides a thorough explanation of the underlying principles of spectral analysis and the full range of estimation techniques used in engineering. The applications of these techniques are demonstrated in numerous case studies, illustrating the approach required and the compromises to be made when solving real engineering problems. The principles outlined in these case studies are applicable over the full range of engineering disciplines and all the reader requires is an understanding of elementary calculus and basic statistics. The realistic approach and comprehensive nature of this text will provide undergraduate engineers and physicists of all disciplines with an invaluable introduction to the subject and the detailed case studies will interest the experienced professional. No more than a knowledge of elementary calculus, and basic statistics and probability is needed Accessible to undergraduates at any stage of their courses Easy and clear to follow
Author : L. H. Koopmans
Publisher : Academic Press
Page : 383 pages
File Size : 44,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483218540
The Spectral Analysis of Time Series describes the techniques and theory of the frequency domain analysis of time series. The book discusses the physical processes and the basic features of models of time series. The central feature of all models is the existence of a spectrum by which the time series is decomposed into a linear combination of sines and cosines. The investigator can used Fourier decompositions or other kinds of spectrals in time series analysis. The text explains the Wiener theory of spectral analysis, the spectral representation for weakly stationary stochastic processes, and the real spectral representation. The book also discusses sampling, aliasing, discrete-time models, linear filters that have general properties with applications to continuous-time processes, and the applications of multivariate spectral models. The text describes finite parameter models, the distribution theory of spectral estimates with applications to statistical inference, as well as sampling properties of spectral estimates, experimental design, and spectral computations. The book is intended either as a textbook or for individual reading for one-semester or two-quarter course for students of time series analysis users. It is also suitable for mathematicians or professors of calculus, statistics, and advanced mathematics.
Author : Burkhard Buttkus
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642570162
This state-of-the-art survey serves as a complete overview of the subject. Besides the principles and theoretical foundations, emphasis is laid on practical applicability -- describing not only classical methods, but also modern developments and their applications. Students, researchers and practitioners, especially in the fields of data registration, treatment and evaluation, will find this a wealth of information.
Author : Manfred Einsiedler,Thomas Ward
Publisher : Springer
Page : 614 pages
File Size : 55,8 Mb
Release : 2017-11-21
Category : Mathematics
ISBN : 9783319585406
This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.
Author : Julius S. Bendat,Allan G. Piersol
Publisher : Wiley-Interscience
Page : 486 pages
File Size : 54,6 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015029269688
Expanded to cover more advanced applications where statistical properties of data can be nonstationary and the physical systems nonlinear as opposed to only linear. Stresses the practical use and interpretation of analyzed data to solve problems. Special attention is given to bias and random errors involved in desired estimates and the proper interpretation of results from specific applications. Includes numerous case studies concerned with dynamic problems which can occur in a variety of fields.
Author : Roy M. Howard
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 54,7 Mb
Release : 2004-08-18
Category : Technology & Engineering
ISBN : 9780471460831
Describes the leading techniques for analyzing noise. Discusses methods that are applicable to periodic signals,aperiodic signals, or random processes over finite or infiniteintervals. Provides readers with a useful reference when designing ormodeling communications systems.
Author : Olaf Post
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 44,7 Mb
Release : 2012-01-06
Category : Mathematics
ISBN : 9783642238390
Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as norm convergence of operators acting in different Hilbert spaces, an extension of the concept of boundary triples to partial differential operators, and an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.
Author : Jie Shen,Tao Tang,Li-Lian Wang
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 47,5 Mb
Release : 2011-08-25
Category : Mathematics
ISBN : 9783540710417
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
Author : Bernard Helffer
Publisher : Cambridge University Press
Page : 263 pages
File Size : 53,5 Mb
Release : 2013-01-17
Category : Mathematics
ISBN : 9781107032309
Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.
Author : Piet M. T. Broersen
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 50,7 Mb
Release : 2006-04-20
Category : Computers
ISBN : 9781846283284
Spectral analysis requires subjective decisions which influence the final estimate and mean that different analysts can obtain different results from the same stationary stochastic observations. Statistical signal processing can overcome this difficulty, producing a unique solution for any set of observations but that is only acceptable if it is close to the best attainable accuracy for most types of stationary data. This book describes a method which fulfils the above near-optimal-solution criterion, taking advantage of greater computing power and robust algorithms to produce enough candidate models to be sure of providing a suitable candidate for given data.
Author : Julius S. Bendat,Allan G. Piersol
Publisher : Unknown
Page : 328 pages
File Size : 41,6 Mb
Release : 1980-05-13
Category : Mathematics
ISBN : UOM:39015002081753
Introduction and background; Probability functions and amplitude measures; Correlation and spectral density functions; Single input/single output relationships; System identification and response; Propagation path identification; Single input/multiple output problems; Multiple input/output relationships; Energy source identification; Procedures for solving multiple input/output problems; Statistical errors in measurements.
