Lulu smoothing

In signal processing, Lulu smoothing is a nonlinear mathematical technique for removing impulsive noise from a data sequence such as a time series. It is a nonlinear equivalent to taking a moving average (or other smoothing technique) of a time series, and is similar to other nonlinear smoothing techniques, such as Tukey or median smoothing.[1]

LU smoother of width 1 applied to a noisy sequence

LULU smoothers are compared in detail to median smoothers by Jankowitz and found to be superior in some aspects, particularly in mathematical properties like idempotence.[2]

  1. ^ Cite error: The named reference Tukey was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference jankowitz2007some was invoked but never defined (see the help page).