Handbook of Fourier Analysis Its Applications

Author: Robert J Marks II
Publisher: Oxford University Press
ISBN: 9780198044307
Format: PDF, Kindle
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Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a signal into its component frequencies and their amplitudes. This practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from engineering mathematics, signal processing and related multidimensional transform theory, and quantum physics to elementary deterministic finance and even the foundations of western music theory. As a definitive text on Fourier Analysis, Handbook of Fourier Analysis and Its Applications is meant to replace several less comprehensive volumes on the subject, such as Processing of Multifimensional Signals by Alexandre Smirnov, Modern Sampling Theory by John J. Benedetto and Paulo J.S.G. Ferreira, Vector Space Projections by Henry Stark and Yongyi Yang and Fourier Analysis and Imaging by Ronald N. Bracewell. In addition to being primarily used as a professional handbook, it includes sample problems and their solutions at the end of each section and thus serves as a textbook for advanced undergraduate students and beginning graduate students in courses such as: Multidimensional Signals and Systems, Signal Analysis, Introduction to Shannon Sampling and Interpolation Theory, Random Variables and Stochastic Processes, and Signals and Linear Systems.

A Handbook of Real Variables

Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 9780817643294
Format: PDF, Kindle
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This concise real analysis handbook takes into account the fundamentals of the classical theory of the subject and sheds light on its significant applications to differential equations and Fourier analysis. It de-emphasizes proofs and instead stresses concepts, examples and insights.

A Handbook of Fourier Theorems

Author: D. C. Champeney
Publisher: Cambridge University Press
ISBN: 9780521366885
Format: PDF, Docs
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This handbook presents a collection of the most important theorems in Fourier analysis. Proofs are presented intuitively, without burdensome mathematical rigor, in a form that is accurate but also accessible to a reader who is not a specialized mathematician. This text bridges the gap between books presently on the market by discussing the finer points of the theory. It is self-contained in that it includes examples of the use of the various theorems.

Handbook of Near Infrared Analysis Third Edition

Author: Donald A. Burns
Publisher: CRC Press
ISBN: 9781420007374
Format: PDF, ePub, Docs
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Fast, inexpensive, and easy-to-use, near-infrared (NIR) spectroscopy can be used to analyze small samples of virtually any composition. The Handbook of Near Infrared Analysis, Third Edition explains how to perform accurate as well as time- and cost-effective analyses across a growing spectrum of disciplines. Presenting nearly 50% new and revised material, this thoroughly updated edition incorporates the latest advances in instrumentation, computerization, calibration, and method development in NIR spectroscopy. The book underscores current trends in sample preparation, calibration transfer, process control, data analysis, and commercial NIR instrumentation. New chapters highlight novel applications including the analysis of agro-forestry products, polymers, blood, and control serum. They also cover NIR spectra, process analytical technologies (PAT), quantitative and qualitative analyses for nutraceuticals, NIR photography uses in medicine, and counterfeit detection methods for pharmaceuticals and currency. Offering the most complete single-source guide of its kind, the Handbook of Near Infrared Analysis, Third Edition continues to offer practicing chemists and spectroscopists an unparalleled combination of theoretical foundations, cutting-edge applications, and practical experience provided firsthand by more than 60 experts in the field.

Handbook of Fourier Transform Raman and Infrared Spectra of Polymers

Author: A.H. Kuptsov
Publisher: Elsevier
ISBN: 9780080531946
Format: PDF, ePub
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A collection of infrared and Raman spectra of 500 natural and synthetic polymers of industrial importance is presented in this book. A large variety of compounds are included, starting with linear polyolefins and finishing with complex biopolymers and related compounds. The spectra were registered using Infrared Fourier Transform Spectrometers in the laboratory of the All-Russia Institute of Forensic Sciences. The IR and Raman spectra are presented together on the same sheet. The accompanying data include general and structure formulae, CAS register numbers, and sample preparation conditions. Features of this book: • Continues the long tradition of publishing specific and standard data of new chemical compounds. • For low-molecular weight substances, complementary IR and Raman spectra are featured on the same sample and printed on the same page. This "fingerprint" data allows the substance of the sample to be identified without doubt. • An important feature of this unique collection of data is the increase in the identification precision of unknown substances. • Peak tables are available in digital (ASCII) format, on a diskette delivered with the book. This allows the user to search for unknowns. • All the spectra in the collection are base-line corrected. This book will be of interest to scientists involved in the synthesis of new polymeric materials, polymer identification, and quality control. Libraries of scientific institutes, research centers, and universities involved in vibrational spectroscopy will also find this collection invaluable.

A Handbook of Time series Analysis Signal Processing and Dynamics

Author: D. S. G. Pollock
Publisher: Academic Press
ISBN: 9780125609906
Format: PDF, ePub, Mobi
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The aim of this book is to serve as a graduate text and reference in time series analysis and signal processing, two closely related subjects that are the concern of a wide range of disciplines, such as statistics, electrical engineering, mechanical engineering and physics. The book provides a CD-ROM containing codes in PASCAL and C for the computer procedures printed in the book. It also furnishes a complete program devoted to the statistical analysis of time series, which will be attractive to a wide range of academics working in diverse mathematical disciplines.

Handbook of Formulas and Tables for Signal Processing

Author: Alexander D. Poularikas
Publisher: CRC Press
ISBN: 1351835599
Format: PDF, Kindle
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Signal processing is a broad and timeless area. The term "signal" includes audio, video, speech, image, communication, geophysical, sonar, radar, medical, and more. Signal processing applies to the theory and application of filtering, coding, transmitting, estimating, detecting, analyzing, recognizing, synthesizing, recording, and reproducing signals. Handbook of Formulas and Tables for Signal Processing a must-have reference for all engineering professionals involved in signal and image processing. Collecting the most useful formulas and tables - such as integral tables, formulas of algebra, formulas of trigonometry - the text includes: Material for the deterministic and statistical signal processing areas Examples explaining the use of the given formula Numerous definitions Many figures that have been added to special chapters Handbook of Formulas and Tables for Signal Processing brings together - in one textbook - all the equations necessary for signal and image processing for professionals transforming anything from a physical to a manipulated form, creating a new standard for any person starting a future in the broad, extensive area of research.

The Fourier Transform in Biomedical Engineering

Author: Terry M. Peters
Publisher: Springer Science & Business Media
ISBN: 9780817639419
Format: PDF
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Introducing the Fourier Transform as a useful and pratical tool in the biomedical sciences, this volume provides the reader with practical demonstrations and examples.

Mathematical Tools for Physicists

Author: Michael Grinfeld
Publisher: John Wiley & Sons
ISBN: 3527684271
Format: PDF
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The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.