Handbook of Fourier Analysis and its Applications

Hardcover | December 21, 2008

byRobert J Marks II

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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 andeven the foundations of western music theory. This handbook's audience will be composed of professionals in the engineering and applied mathematics communities, advanced undergraduate and beginning graduate students and academics in electrical engineering, computer science, statistics, and applied mathematics. It is meant to replace severalless comprehensive volumes on the subject - such as Processing of Multidimensional 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 -which are often used as textbooks. So 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.

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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 d...

Distinguished Professor of Electrical and Computer Engineering, Baylor University

other books by Robert J Marks II

Format:HardcoverDimensions:728 pages, 9.25 × 7.5 × 0.98 inPublished:December 21, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195335929

ISBN - 13:9780195335927

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Table of Contents

1. Introduction2. Fundamentals of Fourier Analysis3. Fourier Analysis in Systems Theory4. Fourier Transforms in Probability, Random Variables and Stochastic Processes5. The Sampling Theory6. Generalizations of the Sampling Theorem7. Noise and Error Effects8. Multidimensional Signal Analysis9. Time-Frequency Representations10. Signal Recovery11. Signal and Image Synthesis: Alternating Projections Onto Convex Sets12. Mathematical Morphology and Fourier Analysis on Time Sales13. Applications14. Appendices15. Reference