A-law

from The Free On-line Dictionary of Computing (8 July 2008)
A-law

   <standard> The {ITU-T} {standard} for {nonuniform quantising
   logarithmic compression}.

   The equation for A-law is

         |    A
         | ------- (m/mp)                   |m/mp| =< 1/A
         | 1+ln A
     y = |
         | sgn(m)
         | ------ (1 + ln A|m/mp|)   1/A =< |m/mp| =< 1
         | 1+ln A

   Values of u=100 and 255, A=87.6, mp is the Peak message value,
   m is the current quantised message value.  (The formulae get
   simpler if you substitute x for m/mp and sgn(x) for sgn(m);
   then -1 <= x <= 1.)

   Converting from {u-LAW} to A-LAW introduces {quantising
   errors}.  u-law is used in North America and Japan, and A-law
   is used in Europe and the rest of the world and international
   routes.

   [The Audio File Formats FAQ]

   (1995-02-21)
    

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