Estimate volume from extracted pulse

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Kcire L
Kcire L el 9 de Mzo. de 2021
Comentada: Star Strider el 9 de Mzo. de 2021
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 el 9 de Mzo. de 2021
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.
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Kcire L
Kcire L el 9 de Mzo. de 2021
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 el 9 de Mzo. de 2021
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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