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A-law algorithm
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A-law algorithm : ウィキペディア英語版
A-law algorithm

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 similar to the μ-law algorithm used in North America and Japan.
For a given input ''x'', the equation for A-law encoding is as follows,
:
F(x) = \sgn(x) \begin , & |x| < \\
\frac, & \leq |x| \leq 1, \end

where ''A'' is the compression parameter. In Europe, A = 87.6.
A-law expansion is given by the inverse function,
:
F^(y) = \sgn(y) \begin , & |y| < \\
, & \leq |y| < 1. \end

The reason for this encoding is that the wide dynamic range of speech does not lend itself well to efficient linear digital encoding. A-law encoding effectively reduces the dynamic range of the signal, thereby increasing the coding efficiency and resulting in a signal-to-distortion ratio that is superior to that obtained by linear encoding for a given number of bits.
== Comparison to μ-law ==
The μ-law algorithm provides a greater larger dynamic range than the A-law at the cost of worse proportional distortion for small signals. By convention, A-law is used for an international connection if at least one country uses it.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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