Mean Frequency

Mean Frequency
 
Formal definition: Mean frequency in Hz is calculated with both:
as the time-derivative, and

as the frequency-derivative of frequency f.


Note that the mean is of the squared spectral derivative. A similar result could be obtained with power, but empirically, we find the derivative to be


The mean feature replaces the peak frequency.


Note that in contrast to peak-frequency, mean frequency provides a smooth estimate of the center of derivative power. In contrast to peak frequency, mean-frequency does not ‘stick’ to any frequency trace, as shown in the example above. 

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