Editing Generalized mean (section)

== Applications ==

===Signal processing===
A power mean serves a non-linear [[moving average]] which is shifted towards small signal values for small {{mvar|p}} and emphasizes big signal values for big {{mvar|p}}. Given an efficient implementation of a [[lowpass|moving arithmetic mean]] called <code>smooth</code> one can implement a moving power mean according to the following [[Haskell (programming language)|Haskell]] code.

<syntaxhighlight lang="haskell">
powerSmooth :: Floating a => ([a] -> [a]) -> a -> [a] -> [a]
powerSmooth smooth p = map (** recip p) . smooth . map (**p)
</syntaxhighlight>

* For big {{mvar|p}} it can serve as an [[envelope detector]] on a [[rectifier|rectified]] signal.
* For small {{mvar|p}} it can serve as a [[Baseline (spectrometry)|baseline detector]] on a [[mass spectrum]].