MATLAB: Single frequency using Instantaneous Frequency

Question

Dear all

I have already attempted to decompose non-stationary signal into TIME vs FREQUENCY analysis(1-Dimension) using Instantaneous Frequency (Hilbert Transform).

Then, I applied it for 2 dimension of an image but only choosing single frequency, e.g I want to run 20 Hz only and I can see its result (image of 20 Hz)

Could you please help me or has somebody any idea how to construct the algorithm ?

Thank you

Answer 1

http://www.mathworks.com/help/signal/ug/hilbert-transform-and-instantaneous-frequency.html

At a glance it appears to me that you would do a hilbert transform, calculate the instantaneous frequencies, and then search the results to find the places that cross the frequency of interest. Something like that. I don't have any experience with it.