Handbook of Fourier Analysis Its Applications

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.

Alternative names:

• ISBN Handbook of Fourier Analysis & Its Applications English