Introduction To Spectral Analysis

Author : Yanwei Wang,Jian Li,Petre Stoica
Publisher : Springer Nature
Page : 99 pages
File Size : 53,8 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031025259

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Spectral Analysis of Signals by Yanwei Wang,Jian Li,Petre Stoica Pdf

Spectral estimation is important in many fields including astronomy, meteorology, seismology, communications, economics, speech analysis, medical imaging, radar, sonar, and underwater acoustics. Most existing spectral estimation algorithms are devised for uniformly sampled complete-data sequences. However, the spectral estimation for data sequences with missing samples is also important in many applications ranging from astronomical time series analysis to synthetic aperture radar imaging with angular diversity. For spectral estimation in the missing-data case, the challenge is how to extend the existing spectral estimation techniques to deal with these missing-data samples. Recently, nonparametric adaptive filtering based techniques have been developed successfully for various missing-data problems. Collectively, these algorithms provide a comprehensive toolset for the missing-data problem based exclusively on the nonparametric adaptive filter-bank approaches, which are robust and accurate, and can provide high resolution and low sidelobes. In this book, we present these algorithms for both one-dimensional and two-dimensional spectral estimation problems.

Author : Petre Stoica,Randolph L. Moses
Publisher : Pearson Education
Page : 358 pages
File Size : 48,8 Mb
Release : 1997
Category : Mathematics
ISBN : UOM:39015049346268

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Introduction to Spectral Analysis by Petre Stoica,Randolph L. Moses Pdf

This book presents an introduction to spectral analysis that is designed for either course use or self-study. Clear and concise in approach, it develops a firm understanding of tools and techniques as well as a solid background for performing research. Topics covered include nonparametric spectrum analysis (both periodogram-based approaches and filter- bank approaches), parametric spectral analysis using rational spectral models (AR, MA, and ARMA models), parametric method for line spectra, and spatial (array) signal processing. Analytical and Matlab-based computer exercises are included to develop both analytical skills and hands-on experience.

Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 616 pages
File Size : 40,7 Mb
Release : 1993-06-03
Category : Mathematics
ISBN : 0521435412

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Spectral Analysis for Physical Applications by Donald B. Percival,Andrew T. Walden Pdf

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 : John N. Rayner
Publisher : Unknown
Page : 196 pages
File Size : 46,5 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015005616456

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An Introduction to Spectral Analysis by John N. Rayner Pdf

Author : Petre Stoica,Randolph L. Moses
Publisher : Prentice Hall
Page : 492 pages
File Size : 54,7 Mb
Release : 2005
Category : Mathematics
ISBN : STANFORD:36105114149789

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Spectral Analysis of Signals by Petre Stoica,Randolph L. Moses Pdf

Designed for introductory courses on Spectral Analysis at the graduate or advanced undergraduate level for students, researchers, and practitioners in the area of Signal Processing, this text is an expanded edition of "Introduction to Spectral Analysis". It includes nonparametric spectrum analysis, parametric spectral analysis and parametric met.

Author : Burkhard Buttkus
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642570162

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Spectral Analysis and Filter Theory in Applied Geophysics by Burkhard Buttkus Pdf

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 : L. H. Koopmans
Publisher : Academic Press
Page : 383 pages
File Size : 55,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483218540

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The Spectral Analysis of Time Series by L. H. Koopmans Pdf

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 : Nathalie Sinclair,William Higginson
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 43,9 Mb
Release : 2007-12-28
Category : Mathematics
ISBN : 9780387381459

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Mathematics and the Aesthetic by Nathalie Sinclair,William Higginson Pdf

This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Author : Silvia Maria Alessio
Publisher : Springer
Page : 900 pages
File Size : 44,6 Mb
Release : 2015-12-09
Category : Technology & Engineering
ISBN : 9783319254685

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Digital Signal Processing and Spectral Analysis for Scientists by Silvia Maria Alessio Pdf

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 : D. E. Newland
Publisher : Courier Corporation
Page : 514 pages
File Size : 41,5 Mb
Release : 2012-04-03
Category : Science
ISBN : 9780486136967

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An Introduction to Random Vibrations, Spectral & Wavelet Analysis by D. E. Newland Pdf

One of the first engineering books to cover wavelet analysis, this classic text describes and illustrates basic theory, with a detailed explanation of the workings of discrete wavelet transforms. Computer algorithms are explained and supported by examples and a set of problems, and an appendix lists ten computer programs for calculating and displaying wavelet transforms. Starting with an introduction to probability distributions and averages, the text examines joint probability distributions, ensemble averages, and correlation; Fourier analysis; spectral density and excitation response relations for linear systems; transmission of random vibration; statistics of narrow band processes; and accuracy of measurements. Discussions of digital spectral analysis cover discrete Fourier transforms as well as windows and smoothing. Additional topics include the fast Fourier transform; pseudo-random processes; multidimensional spectral analysis; response of continuous linear systems to stationary random excitation; and discrete wavelet analysis. Numerous diagrams and graphs clarify the text, and complicated mathematics are simplified whenever possible. This volume is suitable for upper-level undergraduates and graduate students in engineering and the applied sciences; it is also an important resource for professionals.

Author : Gwilym M. Jenkins,Donald G. Watts
Publisher : Emerson Adams PressInc
Page : 525 pages
File Size : 52,9 Mb
Release : 1968
Category : Science
ISBN : 1892803038

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Spectral Analysis and Its Applications by Gwilym M. Jenkins,Donald G. Watts Pdf

Author : P.D. Hislop,I.M. Sigal
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461207412

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Introduction to Spectral Theory by P.D. Hislop,I.M. Sigal Pdf

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.

Author : S. Lawrence Marple, Jr.
Publisher : Courier Dover Publications
Page : 435 pages
File Size : 46,5 Mb
Release : 2019-03-20
Category : Technology & Engineering
ISBN : 9780486780528

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Digital Spectral Analysis by S. Lawrence Marple, Jr. Pdf

Digital Spectral Analysis offers a broad perspective of spectral estimation techniques and their implementation. Coverage includes spectral estimation of discrete-time or discrete-space sequences derived by sampling continuous-time or continuous-space signals. The treatment emphasizes the behavior of each spectral estimator for short data records and provides over 40 techniques described and available as implemented MATLAB functions. In addition to summarizing classical spectral estimation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. Topics include Prony's method, parametric methods, the minimum variance method, eigenanalysis-based estimators, multichannel methods, and two-dimensional methods. Suitable for advanced undergraduates and graduate students of electrical engineering — and for scientific use in the signal processing application community outside of universities — the treatment's prerequisites include some knowledge of discrete-time linear system and transform theory, introductory probability and statistics, and linear algebra. 1987 edition.

Author : Piet M. T. Broersen
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 44,9 Mb
Release : 2006-04-20
Category : Computers
ISBN : 9781846283284

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Automatic Autocorrelation and Spectral Analysis by Piet M. T. Broersen Pdf

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 : Grant Hearn,Andrew Metcalfe
Publisher : Butterworth-Heinemann
Page : 320 pages
File Size : 54,6 Mb
Release : 1995-08-17
Category : Science
ISBN : 9780080541556

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Spectral Analysis in Engineering by Grant Hearn,Andrew Metcalfe Pdf

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