I plot a time-series for observation as you can see in the plot:
I tried to detrend the time series by 3 different approaches which are: 1) differences, 2) detrended fluctuation analysis, and 3) discrete wavelet transform, thus I obtain the attached plot:
In order to apply discrete wavelet transform approach I followed the directions provided in Help page of Mathematica to make detrending i.e I used the below code:
dwdfa = DiscreteWaveletTransform[data, SymletWavelet, 2, Padding -> "Extrapolated"]
and then I calibrated the
SymletWavelet and refinement parameters to make the detrended series correlated with the other approaches I mean
SymletWavelet,and 2, .
My question here is would please explain me how to figure out those parameters correctly without making such calibration. I read some theoretical explanations but still I am fresh in wavelet analysis and most of time I get confused about this.