Spectral Analysis For Physical Applications

Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 616 pages
File Size : 53,6 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 : Gwilym M. Jenkins,Donald G. Watts
Publisher : Unknown
Page : 525 pages
File Size : 54,7 Mb
Release : 1988
Category : Electronic
ISBN : OCLC:878700332

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

Author : Bernard Helffer
Publisher : Unknown
Page : 263 pages
File Size : 43,6 Mb
Release : 2013
Category : Spectral theory (Mathematics)
ISBN : 113961679X

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Spectral Theory and Its Applications by Bernard Helffer Pdf

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

Author : L. H. Koopmans
Publisher : Academic Press
Page : 383 pages
File Size : 49,8 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 : Julius S. Bendat,Allan G. Piersol
Publisher : Wiley-Interscience
Page : 486 pages
File Size : 52,7 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015029269688

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Engineering Applications of Correlation and Spectral Analysis by Julius S. Bendat,Allan G. Piersol Pdf

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 : Silvia Maria Alessio
Publisher : Springer
Page : 900 pages
File Size : 46,5 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 : Julius S. Bendat,Allan G. Piersol
Publisher : Unknown
Page : 328 pages
File Size : 53,5 Mb
Release : 1980-05-13
Category : Mathematics
ISBN : UOM:39015002081753

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Engineering Applications of Correlation and Spectral Analysis by Julius S. Bendat,Allan G. Piersol Pdf

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.

Author : S. Lawrence Marple
Publisher : Prentice Hall
Page : 522 pages
File Size : 52,6 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015030236270

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Digital Spectral Analysis by S. Lawrence Marple Pdf

Author : Jie Shen,Tao Tang,Li-Lian Wang
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 50,5 Mb
Release : 2011-08-25
Category : Mathematics
ISBN : 9783540710417

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Spectral Methods by Jie Shen,Tao Tang,Li-Lian Wang Pdf

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 : Douglas G. Martinson
Publisher : Cambridge University Press
Page : 631 pages
File Size : 55,6 Mb
Release : 2018-09-20
Category : Computers
ISBN : 9781107029767

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Quantitative Methods of Data Analysis for the Physical Sciences and Engineering by Douglas G. Martinson Pdf

Provides thorough and comprehensive coverage of new and important quantitative methods in data science, for graduate students and practitioners.

Author : Gwilym M. Jenkins,Donald G. Watts
Publisher : Emerson Adams PressInc
Page : 525 pages
File Size : 54,7 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 : Petrus M.T. Broersen
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 43,8 Mb
Release : 2006-08-02
Category : Technology & Engineering
ISBN : 9781846283291

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Automatic Autocorrelation and Spectral Analysis by Petrus 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 : Dzevad Belkic
Publisher : CRC Press
Page : 486 pages
File Size : 55,6 Mb
Release : 2019-08-22
Category : Mathematics
ISBN : 1420033603

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Quantum-Mechanical Signal Processing and Spectral Analysis by Dzevad Belkic Pdf

Quantum-Mechanical Signal Processing and Spectral Analysis describes the novel application of quantum mechanical methods to signal processing across a range of interdisciplinary research fields. Conventionally, signal processing is viewed as an engineering discipline with its own specific scope, methods, concerns and priorities, not usually encompassing quantum mechanics. However, the dynamics of systems that generate time signals can be successfully described by the general principles and methods of quantum physics, especially within the Schroedinger framework. Most time signals that are measured experimentally are mathematically equivalent to quantum-mechanical auto-correlation functions built from the evolution operator and wavefunctions. This fact allows us to apply the rich conceptual strategies and mathematical apparatus of quantum mechanics to signal processing. Among the leading quantum-mechanical signal processing methods, this book emphasizes the role of Pade approximant and the Lanczos algorithm, highlighting the major benefits of their combination. These two methods are carefully incorporated within a unified framework of scattering and spectroscopy, developing an algorithmic power that can be exported to other disciplines. The novelty of the author's approach to key signal processing problems, the harmonic inversion and the moment problem, is in establishing the Pade approximant and Lanczos algorithm as entirely algerbraic spectral estimators. This is of paramount theoretical and practical importance, as now spectral analysis can be carried out from closed analytical expressions. This overrides the notorious mathematical ill-conditioning problems with round-off errors that plague inverse reconstructions in those fields that rely upon signal processing. Quantum-Mechanical Signal Processing and Spectral Analysis will be an invaluable resource for researchers involved in signal processing across a wide range of disciplines.

Author : Dr. Prince Prashant Sharma,Dr. Kapil K Goel,Mr. Deepak Singh Negi,Dr Anurag Chaudhary
Publisher : JEC PUBLICATION
Page : 253 pages
File Size : 47,5 Mb
Release : 2024-06-30
Category : Science
ISBN : 9789358505023

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ADVANCED SPECTRAL ANALYSIS by Dr. Prince Prashant Sharma,Dr. Kapil K Goel,Mr. Deepak Singh Negi,Dr Anurag Chaudhary Pdf

Spectral analysis is an intricate field that holds the key to understanding a wide range of phenomena across science and engineering. "ADVANCED SPECTRAL ANALYSIS (MPC 201T)" is a comprehensive exploration of this subject, aimed at providing both beginners and experienced practitioners with a deep and practical understanding of spectral analysis techniques. This book is the culmination of extensive research, countless hours of analysis, and the collaboration of numerous experts in the field. It is our intention to bridge the gap between theory and application, offering readers a valuable resource that can be applied to real-world challenges. Throughout these pages, you will find a structured journey into the world of spectral analysis. We delve into the fundamental concepts, mathematical foundations, and advanced techniques, all with the aim of enabling you to make informed and insightful decisions when dealing with spectral data. This knowledge is not just for academics and researchers; it is for engineers, scientists, and anyone seeking a deeper appreciation of the spectral realm. Our approach is to combine theory with practical examples, providing step-by-step guidance on applying spectral analysis to a multitude of scenarios. We believe in demystifying the complex and making the abstract accessible. In this ever-evolving field, our commitment to the reader is to provide a resource that remains relevant and up-to-date. Spectral analysis is not just a subject; it's a living and dynamic field, and we invite you to embark on this journey of discovery with us. We extend our sincere gratitude to all those who have contributed to this endeavor, from researchers and experts to friends and family, whose support and encouragement have been invaluable. This book would not have been possible without your collective efforts.

Author : Mossoba
Publisher : CRC Press
Page : 484 pages
File Size : 46,7 Mb
Release : 1998-11-11
Category : Technology & Engineering
ISBN : 0824702239

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Spectral Methods in Food Analysis by Mossoba Pdf

Outlines the basic principles, advanced instrumentation, applications and future potential of a range of spectral techniques in food analysis. The book introduces new applications of GC-MS, LC-MS, MALDI TOF-MS, GC-FTIR, SFC-FTIR, ATR, and Raman spectroscopy. The book covers the identification and quantitation of food constituents, additives and contaminants.