Mastering the Discrete Fourier Transform in One, Two or Several Dimensions

Pitfalls and Artifacts

Author: Isaac Amidror

Publisher: Springer Science & Business Media

ISBN: 1447151674

Category: Mathematics

Page: 375

View: 6589

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ‘naive’ users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.

Operator-Related Function Theory and Time-Frequency Analysis

The Abel Symposium 2012

Author: Karlheinz Gröchenig,Yurii Lyubarskii,Kristian Seip

Publisher: Springer

ISBN: 3319085573

Category: Mathematics

Page: 195

View: 5654

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here are a paper presenting multifractal analysis as a bridge between geometric measure theory and signal processing; local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions; Bernstein's problem on weighted polynomial approximation; singular distributions and symmetry of the spectrum; and many others. Offering a selection of the latest and most exciting results obtained by world-leading researchers, the book will benefit scientists working in Harmonic and Complex Analysis, Mathematical Physics and Signal Processing.

Bode’s Law and the Discovery of Juno

Historical Studies in Asteroid Research

Author: Clifford J. Cunningham

Publisher: Springer

ISBN: 3319328751

Category: Science

Page: 304

View: 7123

Johann Bode developed a so-called law of planetary distances best known as Bode’s Law. The story of the discovery of Juno in 1804 by Karl Harding tells how Juno fit into that scheme and is examined as it relates to the philosopher Georg Hegel’s 1801 thesis that there could be no planets between Mars and Jupiter. By 1804 that gap was not only filled but had three residents: Ceres, Pallas and Juno! When Juno was discovered no one could have imagined its study would call into question Newton’s law of gravity, or be the impetus for developing the mathematics of the fast Fourier transform by Carl Gauss. Clifford Cunningham, a dedicated scholar, opens to scrutiny this critical moment of astronomical discovery, continuing the story of asteroid begun in earlier volumes of this series. The fascinating issues raised by the discovery of Juno take us on an extraordinary journey. The revelation of the existence of this new class of celestial bodies transformed our understanding of the Solar System, the implications of which are thoroughly discussed in terms of Romantic Era science, philosophy, poetry, mathematics and astronomy. The account given here is based on both English and foreign correspondence and scientific papers, most of which are translated for the first time.

Essential Mathematics for NMR and MRI Spectroscopists

Author: Keith C. Brown

Publisher: Royal Society of Chemistry

ISBN: 1782627979

Category:

Page: 867

View: 3489

Beginning with a review of the important areas of mathematics, this book then covers many of the underlying theoretical and practical aspects of NMR and MRI spectroscopy from a maths point of view. Competence in algebra and introductory calculus is needed but all other maths concepts are covered. It will bridge a gap between high level and introductory titles used in NMR or MRI spectroscopy. Uniquely, it takes a very careful and pedagogical approach to the mathematics behind NMR and MRI. It leaves out very few steps, which distinguishes it from other books in the field. The author is an NMR laboratory manager and is sympathetic to the frustrations of trying to understand where some of the fundamental equations come from hence his desire to either explicitly derive all equations for the reader or direct them to derivations. This is an essential text aimed at graduate students who are beginning their careers in NMR or MRI spectroscopy and laboratory managers if they need an understanding of the theoretical foundations of the technique.

Advances in Imaging and Electron Physics

Author: Peter W. Hawkes

Publisher: Elsevier

ISBN: 0080493254

Category: Technology & Engineering

Page: 546

View: 7008

The subjects reviewed in the 'Advances' series cover a broad range of themes including microscopy, electromagnetic fields and image coding. Volume 128 concentrates on regularization, a vital aspect of restoration on low voltage scanning electron microscopy. This Book looks at theory and it's application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and applying them to realistic practical situations The text bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes this book essential reading. · Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics · Presents theory and it's application in a practical sense, providing long awaited solutions and new findings · Bridges the gap between academic researchers and practitioners in industry

The Record of the IEEE ... International Radar Conference

Author: Institute of Electrical and Electronics Engineers. National Capital Area Council,IEEE Aerospace and Electronic Systems Society. Radar Systems Panel,Institution of Electrical Engineers

Publisher: IEEE

ISBN: 9780780321205

Category: Radar

Page: 794

View: 548

The Software Encyclopedia 2000

A Guide for Personal, Professional and Business Users Including Application Software on CD-ROM

Author: Bowker Editorial Staff

Publisher: N.A

ISBN: 9780835243148

Category: Computer industry

Page: 1798

View: 6356

Journal

Author: American Chemical Society

Publisher: N.A

ISBN: N.A

Category: Chemistry

Page: N.A

View: 1540

Mini and microcomputers and their applications

proceedings of the Thirty-Ninth ISMM International Symposium, MIMI '89 Zurich, Switzerland, June 26-29, 1989

Author: M. H. Hamza

Publisher: ACTA Press

ISBN: N.A

Category: Micro-ordinateurs - Congrès

Page: 369

View: 6630

Introduction to Optical Waveguide Analysis

Solving Maxwell's Equation and the Schrödinger Equation

Author: Kenji Kawano,Tsutomu Kitoh

Publisher: John Wiley & Sons

ISBN: 9780471465201

Category: Science

Page: 296

View: 3075

A complete survey of modern design and analysis techniques foroptical waveguides This volume thoroughly details modern and widely accepted methodsfor designing the optical waveguides used in telecommunicationssystems. It offers a straightforward presentation of thesophisticated techniques used in waveguide analysis and enables aquick grasp of modern numerical methods with easy mathematics. Thebook is intended to guide the reader to a comprehensiveunderstanding of optical waveguide analysis through self-study.This comprehensive presentation includes: * An extensive and exhaustive list of mathematicalmanipulations * Detailed explanations of common design methods: finite elementmethod (FEM), finite difference method (FDM), beam propagationmethod (BPM), and finite difference time-domain method(FD-TDM) * Explanations for numerical solutions of optical waveguideproblems with sophisticated techniques used in moderncomputer-aided design (CAD) software * Solutions to Maxwell's equations and the Schrodingerequation The authors provide excellent self-study material forpractitioners, researchers, and students, while also presentingdetailed mathematical manipulations that can be easily understoodby readers who are unfamiliar with them. Introduction to OpticalWaveguide Analysis presents modern design methods in acomprehensive and easy-to-understand format.

Wavelets

Theorie und Anwendungen

Author: Prof. Dr. rer. nat. Alfred Karl Louis,Prof. Dr. rer. nat. Peter Maaß,Dr. rer. nat. Andreas Rieder

Publisher: Springer-Verlag

ISBN: 3322921093

Category: Mathematics

Page: 318

View: 6609

Rheumatology E-Book

Author: Marc C. Hochberg,Alan J. Silman,Josef S. Smolen,Michael E. Weinblatt,Michael H. Weisman

Publisher: Elsevier Health Sciences

ISBN: 0702063037

Category: Medical

Page: 2112

View: 3656

Stay current in the ever-changing discipline of rheumatology with clear, reliable guidance from Hochberg’s Rheumatology, one of the most respected and trusted sources in the field. Designed to meet the needs of the practicing clinician, this medical reference book provides extensive, authoritative coverage of rheumatic diseases from basic scientific principles to practical points of clinical management in a lucid, logical, user-friendly manner. Track disease progression and treat patients more effectively with the information on genetic findings, imaging outcomes, cell and biologic therapies, rheumatoid arthritis, and SLE. Incorporate recent findings about pathogenesis of disease; imaging outcomes for specific diseases like RA, osteoarthritis, and spondyloarthropathies; cell and biologic therapies; and other timely topics. Remain up to date on the latest information in rheumatology through 13 brand-new chapters covering biomedical and translation science, disease and outcome assessment, new imaging modalities, early emerging disease, clinical therapeutics, patient management, and rehabilitation. Take advantage of expanded coverage of small molecule treatment, biologics, biomarkers, epigenetics, biosimilars, and cell-based therapies. Focus on the core knowledge needed for successful results with each chapter co-authored by an internationally-renowned specialist in the field. Easily find the information you need thanks to a consistent, user-friendly format with templated content and large-scale images.

Fundamentals of Engineering Numerical Analysis

Author: Parviz Moin

Publisher: Cambridge University Press

ISBN: 9780521805261

Category: Mathematics

Page: 209

View: 9733

Introduction to numerical techniques useful in solving complex engineering problems.

Finite-Elemente-Methoden

Author: Klaus-Jürgen Bathe

Publisher: Springer Verlag

ISBN: 9783540668060

Category: Technology & Engineering

Page: 1253

View: 9706

Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.