Introduction To Digital Filters - With Audio Applications

Author : Julius O. Smith III, Center for Computer Research in Music and Acoustics (CCRMA), Music Department, Stanford University
Publication Date : August 2006

Book Excerpts:

This book was written for the second half part of an introductory course in digital audio signal processing with applications in computer music, which have been given at the Center for Computer Research in Music and Acoustics (CCRMA) since 1984.

The first half part of the course is based on assigned chapters of Mathematics of the Discrete Fourier Transform (DFT), also by the same author, which contains a more detailed development of the mathematics of signals and spectra in the discrete-time case.

The course presents fundamental elements of digital audio signal processing, such as sinusoids, spectra, the Discrete Fourier Transform (DFT), digital filters, z transforms, transfer-function analysis, and basic Fourier analysis in the discrete-time case. Due to the nature of CCRMA research, this book will emphasize audio and music applications, although the material on the subject of digital filters itself is not specific to audio or music.

Intended Audience:

The only prerequisite to the course is a good high-school level algebra and trigonometry, some calculus, and prior exposure to complex numbers.

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