Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications
by Julius O. Smith III
Publisher: W3K Publishing 2007
Number of pages: 322
Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples. This book started out as a series of readers for my introductory course in digital audio signal processing that I have given at the Center for Computer Research in Music and Acoustics (CCRMA) since 1984. The course was created primarily for entering Music Ph.D. students in the Computer Based Music Theory program at CCRMA. As a result, the only prerequisite is a good high-school math background, including some calculus exposure.
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by Salih Mohammed Salih - InTech
This book focuses on the Fourier transform applications in signal processing techniques. Topics covered: DFT, FFT, OFDM, estimation techniques and the image processing techniques. Written for electrical engineers, communication engineers, etc.
by E. A. Lee, P. Varaiya - Addison Wesley
An introduction to signals and systems for electrical engineering, computer engineering, and computer science students. The material motivates signals and systems through sound and images, as opposed to circuits. Calculus is the only prerequisite.
by Bruce Hajek - University of Illinois at Urbana-Champaign
These notes were written for a graduate course on random processes. Students are assumed to have had a previous course in probability, some familiarity with real analysis and linear algebra, and some familiarity with complex analysis.
by Sophocles J. Orfanidis - Prentice Hall
An applications-oriented introduction to digital signal processing. The author covers all the basic DSP concepts, such as sampling, DFT/FFT algorithms, etc. The book emphasizes the algorithmic, computational, and programming aspects of DSP.