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A question about Periodogram

Alex Teymouri

Posted 3 years ago

Hi, Now I would like to calculate the value of spectral exponent for my data in the attached notebook. Thank you for your help. data0 = WeatherData["KDRA", "Temperature", {{1979, 1, 1}, {2020, 12, 31}, "Day"}]; regularData = TimeSeriesResample[data0, ResamplingMethod -> {"Interpolation", InterpolationOrder -> 1}]; data = QuantityMagnitude[regularData["Values"]]; Periodogram[data]

Hi, enter image description here

Now I would like to calculate the value of spectral exponent for my data in the attached notebook. Thank you for your help.

data0 = WeatherData["KDRA", 
   "Temperature", {{1979, 1, 1}, {2020, 12, 31}, "Day"}];

regularData = 
  TimeSeriesResample[data0, 
   ResamplingMethod -> {"Interpolation", InterpolationOrder -> 1}];

data = QuantityMagnitude[regularData["Values"]];

Periodogram[data]

POSTED BY: Alex Teymouri

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André Dauphiné

André Dauphiné, University of Nice Sophia-Antipolis

Posted 3 years ago

You can use PeridogramArray, then take the first half of the resulting series. Remove the first two or three values from this series. And make an adjustment to this last series. Try this program : data1 = Take[PeriodogramArray[data], (Length[data]/2)] data2 = Drop[data1, 2] model = LinearModelFit[data2, x, x] mo = Normal[model] pente = mo[[2, 1]] You can also read my book Fractal Geography

POSTED BY: André Dauphiné

Alex Teymouri

Posted 3 years ago

Thank you, Andre. The link was very useful. I got the following results. What do you think about these two plots? How can I calculate the slope (or slopes) of the periodogram?