Time averaged wavelet spectral density in magnitude^2/Hz

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Gowtham Radhakrishnan
回答： Ayush 2024-1-31
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

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回答（1 个）

Ayush
Ayush 2024-1-31
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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