Handbook of Fourier Analysis & Its Applications

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Robert J Marks II (, Distinguished Professor of Engineering in the Department of EngineeringBaylor University)

Handbook of Fourier Analysis & Its Applications

Robert J Marks II (, Distinguished Professor of Engineering in the Department of EngineeringBaylor University)

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English

Oxford University Press Inc
29 January 2009

Mathematical logic; Real analysis, real variables; Complex analysis, complex variables; Functional analysis & transforms; Calculus of variations

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.

By: Robert J Marks II ( Distinguished Professor of Engineering in the Department of EngineeringBaylor University)
Imprint: Oxford University Press Inc
Country of Publication: United States
Dimensions: Height: 180mm, Width: 254mm, Spine: 51mm
Weight: 1.769kg
ISBN: 9780195335927
ISBN 10: 0195335929
Pages: 800
Publication Date: 29 January 2009
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1: Introduction 2: Fundamentals of Fourier Analysis 3: Fourier Analysis in Systems Theory 4: Fourier Transforms in Probability, Random Variables and Stochastic Processes 5: The Sampling Theory 6: Generalizations of the Sampling Theorem 7: Noise and Error Effects 8: Multidimensional Signal Analysis 9: Time-Frequency Representations 10: Signal Recovery 11: Signal and Image Synthesis: Alternating Projections Onto Convex Sets 12: Mathematical Morphology and Fourier Analysis on Time Sales 13: Applications 14: Appendices 15: Reference

Robert J. Marks II, Ph.D., is Distinguished Professor of Engineering in the Department of Engineering at Baylor University. He came to Baylor University after 26 years at the University of Washington in Seattle. Robert J. Marks II has eight books (author, co-author, editor or co-editor) published by IEEE, MIT Press and Oxford University Press, three patents, over 50 supervised doctoral dissertations and masters theses, and over 300 publications.

Reviews for Handbook of Fourier Analysis & Its Applications

<br> More than merely a compendium of modern case studies showing how one makes the power of Fourier analysis apply in the real world. Recommended. --Choice<p><br>