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.
General
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