Time averaged wavelet spectral density in magnitude^2/Hz

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Gowtham Radhakrishnan
Gowtham Radhakrishnan le 8 Mar 2022
Réponse apportée : Ayush le 31 Jan 2024
Hi,
I am using the following function in wavelet toolbox to obtain the time averaged/global wavelet spectral density.
timeSpectrum(fb,sm,'SpectrumType','density','Normalization','var')
It produces the spectral density in magnitude^2/scales. I need the spectral density in magnitude^2/Hz. I tried to convert the scales to frequencies by the conversion. freq(Hz) = centerfreq(morse)/scales.
centerfreq(morse) = (P^2/γ)^1/γ, P = 60, γ=3.
However, it produced erroneous results. Any help on getting the global wavelet spectral density in magnitude^2/Hz will be much appreciated.
Thank You

Réponses (1)

Ayush
Ayush le 31 Jan 2024
Hi,
It seems like you are trying to convert the scales to frequencies when dealing with global wavelet spectral density.
You can refer to the function, "scal2frq", which returns the pseudo-frequencies corresponding to the scales and the wavelet specified. This function also allows you to specify the sampling period as a parameter. The basic syntax for this function is:
freq = scal2frq(A, wname, delta);
Where "A" is scales, "wname" is wavelet and "delta" is sampling period.
For more information on "scal2frq" function and "Morse wavelet" given in the question, refer to the documentations below.
I hope it helps!

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