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Spectral Analysis for Physical Applications

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Release : 1993-06-03
Genre : Mathematics
Kind : eBook
Book Rating : 413/5 ( reviews)

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Book Synopsis Spectral Analysis for Physical Applications by : Donald B. Percival

Download or read book Spectral Analysis for Physical Applications written by Donald B. Percival. This book was released on 1993-06-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spectral Analysis For Physical Applications Multipaper And Conventional...

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Book Synopsis Spectral Analysis For Physical Applications Multipaper And Conventional... by : D.B. Percival

Download or read book Spectral Analysis For Physical Applications Multipaper And Conventional... written by D.B. Percival. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Ten Physical Applications of Spectral Zeta Functions

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Release : 2012-05-31
Genre : Science
Kind : eBook
Book Rating : 057/5 ( reviews)

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Book Synopsis Ten Physical Applications of Spectral Zeta Functions by : Emilio Elizalde

Download or read book Ten Physical Applications of Spectral Zeta Functions written by Emilio Elizalde. This book was released on 2012-05-31. Available in PDF, EPUB and Kindle. Book excerpt: Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.

Engineering Applications of Correlation and Spectral Analysis

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Release : 1980-05-13
Genre : Mathematics
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Book Synopsis Engineering Applications of Correlation and Spectral Analysis by : Julius S. Bendat

Download or read book Engineering Applications of Correlation and Spectral Analysis written by Julius S. Bendat. This book was released on 1980-05-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Digital Spectral Analysis

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Release : 2019-03-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 52X/5 ( reviews)

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Book Synopsis Digital Spectral Analysis by : S. Lawrence Marple, Jr.

Download or read book Digital Spectral Analysis written by S. Lawrence Marple, Jr.. This book was released on 2019-03-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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