Max. time interval error

Maximum time interval error


Maximum time interval error

\[Mtie(\tau)=\operatorname{max}_{1\leq k\leq N-n}\left(\operatorname{max}_{k\leq t\leq k+n}(x_t)-\operatorname{min}_{k\leq t\leq k+n}(x_t)\right)\]

Doc String

mtie(data, rate; [frequency=false], [overlapping=true], [taus=Octave]) Calculates the maximal time interval error


  • <data>: The data array to calculate the deviation from either as as phases or frequencies.
  • <rate>: The rate of the data given.
  • [frequency]: True if data contains frequency data otherwise (default) phase data is assumed.
  • [overlapping]: True (default) to calculate overlapping deviation, false otherwise.
  • [taus]: Taus to calculate the deviation at. This can either be an AllanTauDescriptor type AllTaus, Decadade, HalfDecade, Octave, HalfOctave, QuarterOctave, an array of taus to calculate at, a float number to build a custom log-scale on or an integer to build a specific number of log spaced points.

returns: named tupple (tau, deviation, error, count)

  • tau: Taus which where used.
  • deviation: Deviations calculated.
  • error: Respective errors.
  • count: Number of contributing terms for each deviation.

Possible issues