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Re: spectrum level to RMS

Dear Merri,

For my undergraduate thesis I worked with the RMS calculation by means of the signal expressed either in time domain or frequency domain. Since I worked also, considering a non-equally spaced frequency span I had to use the Parseval's theorem in a slightly different way...

I attached an extract of my thesis (sadly it is only in Spanish) where you can check this little adjustment. The only comment is that I used digital amplitudes (not calibrated SPL), but I think should work well for calibrated levels, since the most important consideration in the Parseval's theorem is related to the frequency and time axis...

My complete thesis it is in my google site...http://sites.google.com/site/alejandroossesven/publications

I could give you more details if you want...

Alejandro Osses

--- El lun, 6/20/11, Merri J. Rosen <mrosen@xxxxxxxxxxx> escribió:

De: Merri J. Rosen <mrosen@xxxxxxxxxxx>
Asunto: [AUDITORY] spectrum level to RMS
A: AUDITORY@xxxxxxxxxxxxxxx
Fecha: lunes, 20 de junio de 2011, 12:01 pm

Hello all,

I'm looking for a particular formula related to calibration.  Noise amplitudes are often reported in spectrum level (aka equivalent SPL), i.e., the sound intensity in a 1kHz band, often reported as dB/Hz.  I am calibrating my noise by directly measuring its RMS (in pascals), and calculating dB SPL from there.  I would like a formula that converts spectrum level (dB/Hz) to RMS (assuming you know the bandwidth of the noise), in order to be able to relate spectrum level to my calculated dB SPL.  Any suggestions are appreciated.


  Merri J. Rosen, Ph.D.
  Assistant Professor, Department of Anatomy & Neurobiology
   NEOMED (Northeast Ohio Medical University)
   Office: 330/325-6516     Lab: 330/325-6633

All branding for NEOUCOM will officially change to Northeast Ohio Medical University effective Aug. 15, 2011. Please note the impending change in our website address to www.neomed.edu and email to @neomed.edu.

Attachment: parseval s theorem.pdf
Description: application/download