Hello Olivier, thanks a lot for the reply. It's all quite clear (even if some mathematics references will be appreciated :) ) I have a doubt about PeriodFreq and PeriodAmp anyway: if the periodicity is estimated peak picking for the maximum of the (excluding lag 0, i Imagine) autocorrelation function, to output NaN means that there is NO peak at all or that peak below a certain threshold are discarded? Thanks as always Luca 2009/3/14 Olivier Lartillot <olivier.lartillot@xxxxxxxxxxxxx>: > Hi Luca and others, > I just extended the documentation of mirstat, as follows: > > If the object is frame-decomposed, the fields of the output are: > > Mean: the average along frames; > Std: the standard deviation along frames; > Slope: the linear slope of the trend along frames, i.e. the derivative of > the line that would best fit the curve. The slope S is computed in a > normalised representation of the curve C – i.e., centered, with unit > variance, and with a temporal scale reduced to a series T of values between > 0 and 1 – as a solution in a least-square sense of the equation S*T = C; > PeriodFreq: the frequency (in Hz.) of the maximal periodicity detected in > the frame-by-frame evolution of the values, estimated through the > computation of the autocorrelation sequence. If no periodicity is detected, > NaN is returned; > PeriodAmp: the normalized amplitude of that main periodicity, i.e., such > that the autocorrelation at zero lag is identically 1.0. The first > descending slope starting from zero lag is removed from this analysis, as it > is not related to the periodicity of the curve. > PeriodEntropy: the Shannon entropy of the autocorrelation function (cf. > mirentropy). > > Is it clear? Does anyone know any references related to these concepts? > Olivier > Luca Piccina kirjoitti 11.3.2009 kello 14.21: > > Hello, > I am Luca from Italy and I would need some theorical references for > the statistics implemented with mirstat. It's ok with the mean and the > variance, but I'd like a better understanding of Slope, PeriodFreq, > PeriodAmp and PeriodFreq...could you please give me some references? > Thanks in advance, best wishes > > Luca > > >