Logarithms, Decibels, and Number Systems

GUIDE: Mathematics of the Discrete Fourier Transform (DFT) - Julius O. Smith III. Logarithms, Decibels, and Number Systems

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NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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Logarithms, Decibels, and Number Systems

This chapter provides an introduction to logarithms (real and complex),decibels, and number systems such as binary integer fixed-point, fractional fixed-point, one’s complement, two’s complement, logarithmic fixed-point,$\-law, and floating-point number formats.

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