Lehmer Mean - Applications - Signal Processing

Signal Processing

Like a power mean, a Lehmer mean serves a non-linear moving average which is shifted towards small signal values for small and emphasizes big signal values for big . Given an efficient implementation of a moving arithmetic mean called smooth you can implement a moving Lehmer mean according to the following Haskell code.

lehmerSmooth :: Floating a => ( -> ) -> a -> -> lehmerSmooth smooth p xs = zipWith (/) (smooth (map (**p) xs)) (smooth (map (**(p-1)) xs))
  • For big it can serve an envelope detector on a rectified signal.
  • For small it can serve an baseline detector on a mass spectrum.

Read more about this topic:  Lehmer Mean, Applications

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