Plot a WaveletScalogram?

Questions
1

Hi,

Where did I go wrong?

S1 = Table[Sin[2 i], {i, 0, 50 Pi}] // N
       
 WaveletScalogram[S1, Frame -> True, LabelStyle -> 24, 
  FrameTicks -> {{ticks, Automatic}, {{26, 52, 78, 104, 130}, 
     Automatic}}, GridLines -> {{26, 52, 78, 104, 130}, None}, 
  FrameLabel -> {"X", "Y)"}, ColorFunction -> "LightTemperatureMap", 
  ImageSize -> 500];
2

Hi Alex,

the argument of WaveletScalogram should be some wavelet data, e.g.:

S1 = ContinuousWaveletTransform[Table[Sin[2 i], {i, 0, 50 Pi}]];
S1 // Head
(*  Out:   ContinuousWaveletData   *)

Furthermore the semiocolon after WaveletScalogram[S1, ...]; might be unwanted …

3

Dear Henrik,

I’m not sure I asked my question correctly. Sorry!

In the civil engineering field and especially time series analysis having a wavelet power spectrum and Global wavelet spectrum is a very important issue. Please see the attached figure for example.
I can plot these kinds of graphs with Matlab, but strongly I would like to do it by powerful Mathematica. I did your solution for real air temperature data. please see the enclosed notebook too.

Thank you so much.

10176Untitled.jpg
10176Untitled.jpg1607×287 104 KB

WaveletScalogram.nb (138 KB)

4

Dear Alex,

I have to admit that I do not have much experience using wavelets. And I am afraid at the moment in Mathematica there is no out-of-the-box-power-spectrum-plot function (but I might be wrong!). So my guess is you have to use the transformation data and plot them the way you need. Maybe (as an inspiration) the attached notebook might be useful - but again: my experience here is very limited!

Regards – Henrik

WaveletScalogram_hs.nb (12.6 KB)