Download or read book Elements of Fourier Spectral Analysis written by Hamid N. Alsadi and published by ShieldCrest Publishing. This book was released on 2019-09-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a concise presentation of Fourier spectral analysis, given through ten chapters. The first chapter is a short review of the biography of Joseph Fourier, the scientist who, in 1807, introduced the concept underlying the spectral analysis of mathematical functions. The second and third chapters cover definitions and a brief description of the sine function and periodic functions in general. Theory and applications of Fourier series and Fourier transform is dealt with in the following four chapters. The two chapters (Ch8 & Ch9) cover spectral analysis of observational data, with real-life examples. The book is concluded with an introductory chapter on the closely associated subject, the Laplace transform. The book is designed to serve audiences from both the academic and industrial worlds who are concerned with the subject of Fourier spectral analysis. Simplification and clarity are deliberately followed in the presentation of the book material. University students (especially undergraduates) and teaching staff-members, concerned with the subject, will find this book very helpful introductory manual that can be used with only basic mathematical background.
Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Propagation in Structures written by James F. Doyle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces spectral analysis as a means of investigating wave propagation and transient oscillations in structures. After developing the foundations of spectral analysis and the fast Fourier transform algorithm, the book provides a thorough treatment of waves in rods, beams, and plates, and introduces a novel matrix method for analysing complex structures as a collection of waveguides. The presentation includes an introduction to higher-order structural theories, the results of many experimental studies, practical applications, and source-code listings for many programs. An extensive bibliography provides an entry to the research literature. Intended as a textbook for graduate students of aerospace or mechanical engineering, the book will also be of interest to practising engineers in these and related disciplines.
Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Download or read book IPython Interactive Computing and Visualization Cookbook written by Cyrille Rossant and published by Packt Publishing Ltd. This book was released on 2014-09-25 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to anyone interested in numerical computing and data science: students, researchers, teachers, engineers, analysts, hobbyists... Basic knowledge of Python/NumPy is recommended. Some skills in mathematics will help you understand the theory behind the computational methods.
Download or read book Fourier Transform Spectrometry written by Sumner P. Davis and published by Academic Press. This book was released on 2001-05-21 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for line finding, fitting spectra to voigtian profiles, filtering, Fourier transforming, and spectrum synthesis are a basis for spectrum analysis tools from which complex signal-processing procedures can be constructed.".
Download or read book An Introduction to Spectral Analysis written by John N. Rayner and published by . This book was released on 1971 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Wavenumber Fourier Analysis of Hierarchic P version and Spectral Finite Elements written by Stanford University. Division of Applied Mechanics. Division of Applied Mechanics and published by . This book was released on 1993 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Intuitive Guide to Fourier Analysis Spectral Estimation with MATLAB written by Charan Langton and published by . This book was released on 2017 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Analysis of Spectral Methods written by David Gottlieb and published by SIAM. This book was released on 1977-01-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Download or read book Spectral analysis methods for noisy sampled data systems written by Steve F. Russell and published by Steve F. Russell. This book was released on 1978-08-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation covers both the theory and practice of estimating the spectrum of signals in noise using digital data. The theory of describing some of the signal processing concepts for digital data are given and various spectral estimation methods are given. The theory of MEM is described in detail using approaches from estimation theory, communication theory, and statistics. The work was intended to give researchers the theory and practice of practical means of spectral estimation using communications or scientific data. The Maximum Entropy Method by John Parker Burg is explained from what was known in 1974-75. KEY WORDS: Calculus-of-Variations, Data Systems, Noise , Spectrum Analysis, Time Series Analysis, Autocorrelation, Computer Programs, Data Windowing, Ergodic Process, Maximum Entropy Method (MEM, Fourier Transformation, Optimum Order of Estimation, Sampling, Spectral Resolution, Statistical Significance Test, Systems Analysis, Wiener-Khinchine Theorem. From The Smithsonian/NASA Astrophysics Data System -- The practical aspects of spectral analysis are contrasted with the mathematical theory. Treatment is limited to ergodic processes and emphasizes data window and noise effects. The Discrete Fourier Transform (DFT) and Maximum Entropy Method (MEM) are covered extensively both in theory and application with FORTRAN programs and many examples being provided. Several of the chapters are tutorial and discuss the important topics of sampling theory and system analysis. Topics on MEM include a complete calculus-of-variations solution, relationship between MEM and the Wiener-Khinchine relations, spectral resolution, and choosing the optimum order of the estimation. DFT leakage effects are modeled. A statistical significance test was developed to determine the realness of a spectral component. Keywords: Data Systems, Noise (Sound), Spectrum Analysis, Time Series Analysis, Autocorrelation, Computer Programs, Ergodic Process, Fourier Transformation, Sampling, Systems Analysis [less]
Download or read book Spectral Methods written by Jie Shen and published by Springer Science & Business Media. This book was released on 2011-08-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spectral Analysis and Filter Theory in Applied Geophysics written by Burkhard Buttkus and published by Springer Science & Business Media. This book was released on 2000-03-27 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spectral Methods in Geodesy and Geophysics written by Christopher Jekeli and published by CRC Press. This book was released on 2017-10-02 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.
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.
Download or read book Frequency Analysis written by R. B. Randall and published by . This book was released on 1987 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Analysis in Geophysics written by B.M. Båth and published by Elsevier. This book was released on 2012-12-02 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Analysis in Geophysics
