Digital Fourier Analysis Fundamentals

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Digital Fourier Analysis: Fundamentals

Author : Ken'iti Kido
Publisher : Springer
ISBN 13 : 1461492602
Total Pages : 210 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Digital Fourier Analysis: Fundamentals by : Ken'iti Kido

Download or read book Digital Fourier Analysis: Fundamentals written by Ken'iti Kido and published by Springer. This book was released on 2014-06-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a thorough, accessible introduction to digital Fourier analysis for undergraduate students in the sciences. Beginning with the principles of sine/cosine decomposition, the reader walks through the principles of discrete Fourier analysis before reaching the cornerstone of signal processing: the Fast Fourier Transform. Saturated with clear, coherent illustrations, "Digital Fourier Analysis" includes practice problems and thorough Appendices for the advanced reader. As a special feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. For example, a real sine signal can be treated as a sum of clockwise and counter-clockwise rotating vectors. The applet illustration included with the book animates the rotating vectors and the resulting sine signal. By changing parameters such as amplitude and frequency, the reader can test various cases and view the results until they fully understand the principle. Additionally, the applet source code in Visual Basic is provided online, allowing this book to be used for teaching simple programming techniques. A complete, intuitive guide to the basics, "Digital Fourier Analysis - Fundamentals" is an essential reference for undergraduate students in science and engineering.

Fundamentals and Applications of Fourier Transform Mass Spectrometry

Author : Philippe Schmitt-Kopplin
Publisher : Elsevier
ISBN 13 : 0128140143
Total Pages : 778 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Fundamentals and Applications of Fourier Transform Mass Spectrometry by : Philippe Schmitt-Kopplin

Download or read book Fundamentals and Applications of Fourier Transform Mass Spectrometry written by Philippe Schmitt-Kopplin and published by Elsevier. This book was released on 2019-08-11 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals and Applications of Fourier Transform Mass Spectrometry is the first book to delve into the underlying principles on the topic and their linkage to industrial applications. Drs. Schmitt-Kopplin and Kanawati have brought together a team of leading experts in their respective fields to present this technique from many different perspectives, describing, at length, the pros and cons of FT-ICR and Orbitrap. Numerous examples help researchers decide which instruments to use for their particular scientific problem and which data analysis methods should be applied to get the most out of their data. Covers FT-ICR-MS and Orbitrap’s fundamentals, enhancing researcher knowledge Includes details on ion sources, data processing, chemical analysis and imaging Provides examples across the wide spectrum of applications, including omics, environmental, chemical, pharmaceutical and food analysis

Digital Fourier Analysis

Author : Ken'iti Kido
Publisher : Springer
ISBN 13 : 9781493915217
Total Pages : 381 pages
Book Rating : 4.9/5 (152 download)

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Book Synopsis Digital Fourier Analysis by : Ken'iti Kido

Download or read book Digital Fourier Analysis written by Ken'iti Kido and published by Springer. This book was released on 2014-10-28 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set collects the fundamental and advanced techniques outlined in both volumes. Beginning with the principles of sine/cosine decomposition, the reader walks through the principles of discrete Fourier analysis before reaching the cornerstone of signal processing: the Fast Fourier Transform. The second volume covers advanced topics including the Hilbert transform, cepstrum analysis, and the two-dimensional Fourier transform. Saturated with clear, coherent illustrations, Digital Fourier Analysis includes practice problems and thorough Appendices for the advanced reader. As a special feature, interactive applets (available online) that mirror the illustrations are included. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. For example, a real sine signal can be treated as a sum of clockwise and counter-clockwise rotating vectors. The applet illustration included with the book animates the rotating vectors and the resulting sine signal. By changing parameters such as amplitude and frequency, the reader can test various cases and view the results until they fully understand the principle. Additionally, the applet source code in Visual Basic is provided online, allowing this book to be used for teaching simple programming techniques. A complete, intuitive guide, Digital Fourier Analysis is an essential reference for undergraduate and graduate students in science and engineering.

Digital Fourier Analysis: Advanced Techniques

Author : Ken'iti Kido
Publisher : Springer
ISBN 13 : 1493911279
Total Pages : 185 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Digital Fourier Analysis: Advanced Techniques by : Ken'iti Kido

Download or read book Digital Fourier Analysis: Advanced Techniques written by Ken'iti Kido and published by Springer. This book was released on 2014-06-26 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students. Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis and the two-dimensional Fourier transform. Saturated with clear, coherent illustrations, "Digital Fourier Analysis: Volume 2" includes practice problems and thorough Appendices. As a central feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. The applet source code in Visual Basic is provided online, enabling advanced students to tweak and change the programs for more sophisticated results. A complete, intuitive guide, "Digital Fourier Analysis, Volume 2" is an essential reference for students in science and engineering.

Discrete and Continuous Fourier Transforms

Author : Eleanor Chu
Publisher : CRC Press
ISBN 13 : 1000687570
Total Pages : 272 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Discrete and Continuous Fourier Transforms by : Eleanor Chu

Download or read book Discrete and Continuous Fourier Transforms written by Eleanor Chu and published by CRC Press. This book was released on 2008-03-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transform

The Fourier Transform and Its Applications

Author : Ronald Newbold Bracewell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell

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:

Fundamentals of Fourier Analysis

Author : Loukas Grafakos
Publisher : Springer Nature
ISBN 13 : 3031565002
Total Pages : 416 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Fundamentals of Fourier Analysis by : Loukas Grafakos

Download or read book Fundamentals of Fourier Analysis written by Loukas Grafakos and published by Springer Nature. This book was released on with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Fourier Analysis

Author : Tim Olson
Publisher : Birkhäuser
ISBN 13 : 1493973932
Total Pages : 310 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Applied Fourier Analysis by : Tim Olson

Download or read book Applied Fourier Analysis written by Tim Olson and published by Birkhäuser. This book was released on 2017-11-20 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medi cal imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.

Digital Signal Processing

Author : Li Tan
Publisher : Academic Press
ISBN 13 : 0124159826
Total Pages : 893 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Digital Signal Processing by : Li Tan

Download or read book Digital Signal Processing written by Li Tan and published by Academic Press. This book was released on 2013-01-21 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing, Second Edition enables electrical engineers and technicians in the fields of biomedical, computer, and electronics engineering to master the essential fundamentals of DSP principles and practice. Many instructive worked examples are used to illustrate the material, and the use of mathematics is minimized for easier grasp of concepts. As such, this title is also useful to undergraduates in electrical engineering, and as a reference for science students and practicing engineers. The book goes beyond DSP theory, to show implementation of algorithms in hardware and software. Additional topics covered include adaptive filtering with noise reduction and echo cancellations, speech compression, signal sampling, digital filter realizations, filter design, multimedia applications, over-sampling, etc. More advanced topics are also covered, such as adaptive filters, speech compression such as PCM, u-law, ADPCM, and multi-rate DSP and over-sampling ADC. New to this edition: MATLAB projects dealing with practical applications added throughout the book New chapter (chapter 13) covering sub-band coding and wavelet transforms, methods that have become popular in the DSP field New applications included in many chapters, including applications of DFT to seismic signals, electrocardiography data, and vibration signals All real-time C programs revised for the TMS320C6713 DSK Covers DSP principles with emphasis on communications and control applications Chapter objectives, worked examples, and end-of-chapter exercises aid the reader in grasping key concepts and solving related problems Website with MATLAB programs for simulation and C programs for real-time DSP

Fundamentals of Analog and Digital Signal Processing

Author : Li Tan
Publisher : AuthorHouse
ISBN 13 : 1425960316
Total Pages : 412 pages
Book Rating : 4.4/5 (259 download)

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Book Synopsis Fundamentals of Analog and Digital Signal Processing by : Li Tan

Download or read book Fundamentals of Analog and Digital Signal Processing written by Li Tan and published by AuthorHouse. This book was released on 2007-05-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is suitable to be used as a one-semester senior-level course for the undergraduate engineering technology program including electronics, computer, and biomedical engineering technologies. However, the book could also be useful as a reference for undergraduate engineering students, science students, and practicing engineers.

The FFT, Fundamentals and Concepts

Author : Robert W. Ramirez
Publisher : Prentice Hall
ISBN 13 : 9780133143867
Total Pages : 178 pages
Book Rating : 4.1/5 (438 download)

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Book Synopsis The FFT, Fundamentals and Concepts by : Robert W. Ramirez

Download or read book The FFT, Fundamentals and Concepts written by Robert W. Ramirez and published by Prentice Hall. This book was released on 1985 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple and concise discussion of both Fourier Theory and the FFT (fast fourier transform) are provided.

Fourier Analysis—A Signal Processing Approach

Author : D. Sundararajan
Publisher : Springer
ISBN 13 : 9811316937
Total Pages : 365 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Fourier Analysis—A Signal Processing Approach by : D. Sundararajan

Download or read book Fourier Analysis—A Signal Processing Approach written by D. Sundararajan and published by Springer. This book was released on 2018-07-25 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics and acoustics. It presents Fourier analysis primarily using physical explanations with waveforms and/or examples, only using mathematical formulations to the extent necessary for its practical use. Intended as a textbook for senior undergraduates and graduate level Fourier analysis courses in engineering and science departments, and as a supplementary textbook for a variety of application courses in science and engineering, the book is also a valuable reference for anyone – student or professional – specializing in practical applications of Fourier analysis. The prerequisite for reading this book is a sound understanding of calculus, linear algebra, signals and systems, and programming at the undergraduate level.

Discrete Fourier Transform, The: Theory, Algorithms And Applications

Author : Duraisamy Sundararajan
Publisher : World Scientific
ISBN 13 : 9814491721
Total Pages : 392 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Discrete Fourier Transform, The: Theory, Algorithms And Applications by : Duraisamy Sundararajan

Download or read book Discrete Fourier Transform, The: Theory, Algorithms And Applications written by Duraisamy Sundararajan and published by World Scientific. This book was released on 2001-04-30 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large number of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice.This book will be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis.Errata(s)Preface, Page viii“www.wspc.com/others/software/4610/”The above links should be replaced with“www.worldscientific.com/doi/suppl/10.1142/4610/suppl_file/4610_software_free.zip”

A First Course in Fourier Analysis

Author : David W. Kammler
Publisher : Cambridge University Press
ISBN 13 : 1139469037
Total Pages : 39 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis A First Course in Fourier Analysis by : David W. Kammler

Download or read book A First Course in Fourier Analysis written by David W. Kammler and published by Cambridge University Press. This book was released on 2008-01-17 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Principles of Fourier Analysis

Author : Kenneth B. Howell
Publisher : CRC Press
ISBN 13 : 1498734138
Total Pages : 742 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Principles of Fourier Analysis by : Kenneth B. Howell

Download or read book Principles of Fourier Analysis written by Kenneth B. Howell and published by CRC Press. This book was released on 2016-12-12 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas. Principles of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author's development is strikingly different from typical presentations. His approach to defining the classical Fourier transform results in a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also introduces a new generalized theory based on the use of Gaussian test functions that yields an even more general -yet simpler -theory than usually presented. Principles of Fourier Analysis stimulates the appreciation and understanding of the fundamental concepts and serves both beginning students who have seen little or no Fourier analysis as well as the more advanced students who need a deeper understanding. Insightful, non-rigorous derivations motivate much of the material, and thought-provoking examples illustrate what can go wrong when formulas are misused. With clear, engaging exposition, readers develop the ability to intelligently handle the more sophisticated mathematics that Fourier analysis ultimately requires.

Fourier Transforms

Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 1461523591
Total Pages : 374 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Fourier Transforms by : Robert M. Gray

Download or read book Fourier Transforms written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourier transform is one of the most important mathematical tools in a wide variety of fields in science and engineering. In the abstract it can be viewed as the transformation of a signal in one domain (typically time or space) into another domain, the frequency domain. Applications of Fourier transforms, often called Fourier analysis or harmonic analysis, provide useful decompositions of signals into fundamental or "primitive" components, provide shortcuts to the computation of complicated sums and integrals, and often reveal hidden structure in data. Fourier analysis lies at the base of many theories of science and plays a fundamental role in practical engineering design. The origins of Fourier analysis in science can be found in Ptolemy's decomposing celestial orbits into cycles and epicycles and Pythagorus' de composing music into consonances. Its modern history began with the eighteenth century work of Bernoulli, Euler, and Gauss on what later came to be known as Fourier series. J. Fourier in his 1822 Theorie analytique de la Chaleur [16] (still available as a Dover reprint) was the first to claim that arbitrary periodic functions could be expanded in a trigonometric (later called a Fourier) series, a claim that was eventually shown to be incorrect, although not too far from the truth. It is an amusing historical sidelight that this work won a prize from the French Academy, in spite of serious concerns expressed by the judges (Laplace, Lagrange, and Legendre) re garding Fourier's lack of rigor.

Fourier Transforms

Author : Eric W. Hansen
Publisher : John Wiley & Sons
ISBN 13 : 1118901797
Total Pages : 788 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fourier Transforms by : Eric W. Hansen

Download or read book Fourier Transforms written by Eric W. Hansen and published by John Wiley & Sons. This book was released on 2014-10-01 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Class-tested at Dartmouth Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing Modular coverage of material allows for topics to be covered by preference MATLAB files and Solutions Manual available to instructors Over 300 figures, 200 worked examples, and 432 homework problems