Subject: Re: spectrum level to RMS From: Alejandro Osses <osses.vecchi@xxxxxxxx> Date: Mon, 20 Jun 2011 11:36:33 -0700 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>--0-1671801978-1308594993=:18497 Content-Type: multipart/alternative; boundary="0-740915007-1308594993=:18497" --0-740915007-1308594993=:18497 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable Dear Merri, For my undergraduate thesis I worked with the RMS calculation by means of t= he signal expressed either in time domain or frequency domain. Since I work= ed also, considering a non-equally spaced frequency span I had to use the P= arseval'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 a= mplitudes (not calibrated SPL), but I think should work well for calibrated= levels, since the most important consideration in the Parseval's theorem i= s related to the frequency and time axis... My complete thesis it is in my google site...http://sites.google.com/site/a= lejandroossesven/publications I could give you more details if you want... Sincerely, Alejandro Osses --- El lun, 6/20/11, Merri J. Rosen <mrosen@xxxxxxxx> escribi=F3: De: Merri J. Rosen <mrosen@xxxxxxxx> Asunto: [AUDITORY] spectrum level to RMS A: AUDITORY@xxxxxxxx Fecha: lunes, 20 de junio de 2011, 12:01 pm Hello all, I'm looking for a particular formula related to calibration.=A0 Noise ampli= tudes are often reported in spectrum level (aka equivalent SPL), i.e., the = sound intensity in a 1kHz band, often reported as dB/Hz.=A0 I am calibratin= g my noise by directly measuring its RMS (in pascals), and calculating dB S= PL from there.=A0 I would like a formula that converts spectrum level (dB/H= z) to RMS (assuming you know the bandwidth of the noise), in order to be ab= le to relate spectrum level to my calculated dB SPL.=A0 Any suggestions are= appreciated. thanks, Merri -------------------------------------------------------------------- =A0 Merri J. Rosen, Ph.D. =A0 Assistant Professor, Department of Anatomy & Neurobiology =A0=A0=A0NEOMED (Northeast Ohio Medical University) =A0=A0=A0mrosen@xxxxxxxx =A0=A0=A0http://www.neoucom.edu/audience/about/departments/anatneuro/facult= y/rosen =A0=A0=A0Office: 330/325-6516=A0 =A0=A0=A0Lab: 330/325-6633 -------------------------------------------------------------------- ________________________________ All branding for NEOUCOM will officially change to Northeast Ohio Medical U= niversity effective Aug. 15, 2011. Please note the impending change in our = website address to www.neomed.edu and email to @xxxxxxxx --0-740915007-1308594993=:18497 Content-Type: text/html; charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable <table cellspacing=3D"0" cellpadding=3D"0" border=3D"0" ><tr><td valign=3D"= top" style=3D"font: inherit;">Dear Merri,<br><br>For my undergraduate thesi= s 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 sli= ghtly different way...<br><br>I attached an extract of my thesis (sadly it = is only in Spanish) where you can check this little adjustment. The only co= mment is that I used digital amplitudes (not calibrated SPL), but I think s= hould work well for calibrated levels, since the most important considerati= on in the Parseval's theorem is related to the frequency and time axis...<b= r><br>My complete thesis it is in my google site...<a href=3D"http://sites.= google.com/site/alejandroossesven/publications">http://sites.google.com/sit= e/alejandroossesven/publications</a><br><br>I could give you more details i= f you want...<br><br>Sincerely,<br>Alejandro Osses<br><br><br>--- El <b>lun, 6/2= 0/11, Merri J. Rosen <i><mrosen@xxxxxxxx></i></b> escribi=F3:<br><= blockquote style=3D"border-left: 2px solid rgb(16, 16, 255); margin-left: 5= px; padding-left: 5px;"><br>De: Merri J. Rosen <mrosen@xxxxxxxx><b= r>Asunto: [AUDITORY] spectrum level to RMS<br>A: AUDITORY@xxxxxxxx<b= r>Fecha: lunes, 20 de junio de 2011, 12:01 pm<br><br><div class=3D"plainMai= l">Hello all,<br><br>I'm looking for a particular formula related to calibr= ation. Noise amplitudes are often reported in spectrum level (aka equ= ivalent SPL), i.e., the sound intensity in a 1kHz band, often reported as d= B/Hz. I am calibrating my noise by directly measuring its RMS (in pas= cals), 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.<br><br>thanks,<b= r>Merri<br><br><br>--------------------------------------------------------= ------------<br> Merri J. Rosen, Ph.D.<br> Assistant Professor,= Department of Anatomy & Neurobiology<br> NEOMED (Nort= heast Ohio Medical University)<br> <a ymailto=3D"mailto:mr= osen@xxxxxxxx" href=3D"/mc/compose?to=3Dmrosen@xxxxxxxx">mrosen@xxxxxxxx= om.edu</a><br> <a href=3D"http://www.neoucom.edu/audience/= about/departments/anatneuro/faculty/rosen" target=3D"_blank">http://www.neo= ucom.edu/audience/about/departments/anatneuro/faculty/rosen</a><br> &n= bsp; Office: 330/325-6516 Lab: 330/325-6633<br= >--------------------------------------------------------------------<br><b= r><br><br><br><br><br>________________________________<br>All branding for = NEOUCOM will officially change to Northeast Ohio Medical University effecti= ve Aug. 15, 2011. Please note the impending change in our website address to = www.neomed.edu and email to @xxxxxxxx<br></div></blockquote></td></tr></= table> --0-740915007-1308594993=:18497-- --0-1671801978-1308594993=:18497 Content-Type: application/download; name="parseval s theorem.pdf" Content-Transfer-Encoding: base64 Content-Disposition: attachment; filename="parseval s theorem.pdf" JVBERi0xLjUNJeLjz9MNCjEwIDAgb2JqDTw8L0xpbmVhcml6ZWQgMS9MIDgx MzU0L08gMTIvRSA3Njc2Ny9OIDEvVCA4MTA1MC9IIFsgOTIxIDQxOV0+Pg1l bmRvYmoNICAgICAgICAgICAgICAgICAgDQoxODQgMCBvYmoNPDwvRGVjb2Rl UGFybXM8PC9Db2x1bW5zIDUvUHJlZGljdG9yIDEyPj4vRmlsdGVyL0ZsYXRl RGVjb2RlL0lEWzxCODlBRkVDQjdDRjk4OTI0MTRGQjgxOTNDMEYxOEY1Qj48 MzBGMEZEMDQ0OTNGNTA0RkFGMzkzNEUzQ0Y3MDFBNDI+XS9JbmRleFsxMCAx ODNdL0luZm8gOSAwIFIvTGVuZ3RoIDQ1MC9QcmV2IDgxMDUxL1Jvb3QgMTEg MCBSL1NpemUgMTkzL1R5cGUvWFJlZi9XWzEgMyAxXT4+c3RyZWFtDQpo3nzU TYhPURzG8XPOZdIoDQobKQuiSVIaJiE2RhJFXppslNhIabyNIiTKjhQaklAo ZaNIEqWpaWah2dCsZIEizFhMMZzPUfdfaur27ek5L/f3dm+KIbSEFMLE1syw 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