This book presents an introduction to the principles of the fast Fourier transform. The book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. It feeds the demand for an updated book reflecting the various developments in FFT and its applications, and it fills the need from instructors and students for a book dealing with the latest FFT topics. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs. The emphasis of the book is on the foundation of FFTs such as the decimation-in-time FFT, decimation-in-frequency FFT algorithms, integer FFT, prime factor DFT and so on. It includes references to books, review papers, lists of applications, hardware/software, and useful websites.

Prof. K. R. Rao received the Ph. D. degree in electrical engineering from The University of New Mexico, Albuquerque in 1966. Since 1966, he has been with the University of Texas at Arlington where he is currently a professor of electrical engineering. He, along with two other researchers, introduced the Discrete Cosine Transform in 1975 which has since become very popular in digital signal processing. Some of his books have been translated into Japanese, Chinese, Korean and Russian. He has conducted workshops/tutorials on video/audio coding/standards worldwide. He has published extensively in refereed journals and has been a consultant to industry, research institutes and academia. He is a Fellow of the IEEE.