Maximum time interval error
Formula
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
AllanDeviations.mtie — Method.mtie(data, rate; [frequency=false], [overlapping=true], [taus=Octave]) Calculates the maximal time interval error
parameters:
<data>: The data array to calculate the deviation from either as as phases or frequencies.<rate>: The rate of the data given.[frequency]: True ifdatacontains 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 typeAllTaus, 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
mtiein itself needs a great amount of computations and can be very slow for big taus with many data points. When computations need too much time, consider reducing the number of taus and/or especially using smaller taus.- Mtie can be called with a non-overlapping calculation. This throws a warning because it is unusual to use but nevertheless faster.