**NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW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.

FIXME: HERE HERE HERE

Subsections

- Logarithms
- Decibels
- Linear Number Systems for Digital Audio
- Logarithmic Number Systems for Digital Audio
- Appendix A: Round-Off Error Variance
- Appendix B: Electrical Engineering 101