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I am pretty new in the field of Signal Processing. I am a structural engineering graduate student at the UT at Austin. I am currently working on a project that regards acoustic emission monitoring of a steel-concrete composite bridge.

I am analyzing some Power Density Spectrums that I calculated from the waveforms collected during the experimental program. Now, I am trying to classify some of them basing on Mean Frequency and occupied bandwidth. I have two main questions :

  1. Could someone gently suggest some literature reviews where I can read more about this topic?
  2. My actual classification method involves the inverse of the occupied bandwidth, so 1/obw. Does it have any meaning in the field? I mean, is it a feature that could be find anywhere? I also need some literature regarding it.
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    $\begingroup$ The inverse of a frequency is time, and thus, you could interpret the inverse of a bandwidth as "time certainty". $\endgroup$
    – Marcus Müller
    Nov 5, 2016 at 23:59
  • $\begingroup$ Thanks for your reply. Also, do you think that applying Gabor Uncertainty Principle to have a sort of mathematical prove of the concept could be reasonable ? $\endgroup$
    – Marco Manconi
    Nov 7, 2016 at 0:41
  • $\begingroup$ Dear @Marco Manconi: Do you have any clear procedure on how the accoustic excitations were introduced?, Forced? Natural? Are some source receiver testing involved? Of course the badwidth has a clear meaning on this kind of experiments. Why are you forcing introducing a so vague concept (dtdf ratio) in here? The dfdt ratio only is applicable when the sampling time (dt) and the time length (df) are insufficient: meaning you did all the job bad... $\endgroup$
    – Brethlosze
    Nov 12, 2016 at 8:32
  • $\begingroup$ i haven't been too familiar with the term "occupied bandwidth", but i might guess that Q (for quality factor). there are well-known relationships between Q and bandwidth (either in Hz or in octaves) for 2nd-order IIR filters. that concept can be extended from filter spectrum to signal spectrum. other than that, i dunno what would be the relationship. $\endgroup$
    – robert bristow-johnson
    Jan 6, 2017 at 1:33

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(1) Here is one interesting reference on vibration spectral analysis.

(2) Inverse of occupied bandwidth could correspond to a relaxation time of some vibration-- the time it takes the oscillations to die down to a negligible amplitude.

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  • $\begingroup$ Thanks for your reply. Also, do you think that applying Gabor Uncertainty Principle to have a sort of mathematical prove of the concept could be reasonable ? $\endgroup$
    – Marco Manconi
    Nov 7, 2016 at 0:41

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