Editing Μ-law algorithm (section)

===Continuous===
[[File:Mu-law function.svg|thumb|μ-law function|350x350px]]
[[File:Inverse mu-law function.svg|thumb|Inverse μ-law function|350x350px]]

For a given input {{mvar|x}}, the equation for μ-law encoding is<ref name="mulaw-equation">{{cite web |url=https://www.cisco.com/c/en/us/support/docs/voice/h323/8123-waveform-coding.html |title=Waveform Coding Techniques - Cisco |access-date=2020-12-07 |date=2006-02-02}}</ref>
<math display="block">
F(x) = \sgn(x) \dfrac{\ln(1 + \mu |x|)}{\ln(1 + \mu)}, \quad -1 \leq x \leq 1,
</math>

where {{math|1=''μ'' = 255}} in the North American and Japanese standards, and {{math|1=sgn(''x'')}} is the [[sign function]]. The [[Range of a function|range]] of this function is −1 to 1.

μ-law expansion is then given by the inverse equation:<ref name="mulaw-equation" />
<math display="block">
F^{-1}(y) = \sgn(y) \dfrac{(1 + \mu)^{|y|} - 1}{\mu}, \quad -1 \leq y \leq 1.
</math>