A question about Periodogram

Questions
, , ,
1

Hi,

6786Untitled.jpg
6786Untitled.jpg768×623 71.8 KB

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]
2

You can have somme information in my web site about the treatment of temporel datas

3

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?

3276Untitled.jpg
3276Untitled.jpg584×677 42.6 KB

4

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