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An A-law algorithm is a standard companding algorithm, used in European 8-bit PCM digital communications systems to optimize, i.e. modify, the dynamic range of an analog signal for digitizing. It is one of two versions of the G.711 standard from ITU-T, the other version being the similar μ-law, used in North America and Japan.
For a given input x {\displaystyle x} , the equation for A-law encoding is as follows,
where A {\displaystyle A} is the compression parameter. In Europe, A = 87.6 {\displaystyle A=87.6}.
A-law expansion is given by the inverse function,
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