next Floating-Point Numbers
up Logarithms, Decibels, and Number Systems
previous When Do We Have to Swap Bytes When Changing Computers?
global_index Global JOS Index Index

Logarithmic Number Systems for Digital Audio

Since hearing is approximately logarithmic, it makes sense to represent sound samples in a logarithmic or semi-logarithmic number format. Floating-point numbers in a computer are partially logarithmic (the exponent part), and one can even use an entirely logarithmic fixed-point number system. The $ \mu $-law amplitude-encoding format is linear at small amplitudes and becomes logarithmic at large amplitudes. This section discusses these formats.



Subsections
next Floating-Point Numbers
up Logarithms, Decibels, and Number Systems
previous When Do We Have to Swap Bytes When Changing Computers?
global_index Global JOS Index Index

``Music 320 Reader I: Mathematics of the Discrete Fourier Transform (DFT)'' by Julius O. Smith III, (Course Reader, Music 320).

(Browser settings for best viewing results)
Copyright 2001-10-31 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA), Stanford University
CCRMA (Link Disclaimer)