Estimate volume from extracted pulse

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Hello,
I have extracted a pulse from an audio signal and would like to see if I can determine volume from each pulse. Does anyone have an idea of how to do this? I worked with trapz to find the area under the curve but was wondering if there was another way, or a better way. I need to relate these pulses to measurements of volume.
Thank you for any help.

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Star Strider
Star Strider 2021-3-9
Since you are dealing with vectors and not functions, trapz (or cumtrapz, depending on the result you want) is likely the only way to get the areas under each curve.
I am not certain what you are referring to with respect to ‘volume’, since that implies a third dimension.
  2 个评论
Kcire L
Kcire L 2021-3-9
What about power or intensity? Could I characterize these pulses in terms of power (i.e. this pulse with this duration and amplitude produces this much power)?
Thanks again for the response.
Star Strider
Star Strider 2021-3-9
My pleasure.
Power is amplitude squared by definition, so square them first and then integrate them.
Another possibility is to calculate the RMS (root-mean-squared) value of each one. Calculate that by taking the square root of the mean of the squared values of each waveform:
RMS = sqrt(mean(waveform.^2))
where ‘waveform’ is each record (vector). That is likely better than simply integrating them, in that it is an accepted method of standardising them.

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