Return-Path: Received: (qmail 82246 invoked from network); 12 Dec 2003 14:57:52 -0000 Received: from unknown (HELO netmail00.services.quay.plus.net) (212.159.14.218) by ptb-mailstore with SMTP; 12 Dec 2003 14:57:52 -0000 Received: (qmail 21851 invoked from network); 12 Dec 2003 14:55:30 -0000 X-Filtered-by: Plusnet (hmail v1.01) X-Spam-detection-level: 11 Received: from post.thorcom.com (193.82.116.20) by netmail00.services.quay.plus.net with SMTP; 12 Dec 2003 14:55:19 -0000 X-Fake-Domain: majordom Received: from majordom by post.thorcom.com with local (Exim 4.14) id 1AUogZ-00019A-Bj for rs_out@blacksheep.org; Fri, 12 Dec 2003 14:54:31 +0000 Received: from [165.254.4.18] (helo=mail.mcf.com) by post.thorcom.com with esmtp (Exim 4.14) id 1AUogX-000191-Km for rsgb_lf_group@blacksheep.org; Fri, 12 Dec 2003 14:54:29 +0000 X-Fake-Domain: vaiosn Received: from vaiosn (66.65.127.140) by mail.mcf.com with ESMTP (Eudora Internet Mail Server 3.2.2) for ; Fri, 12 Dec 2003 09:54:29 -0500 X-Bad-Message-ID: no DNS (vaiosn) Message-ID: <002d01c3c0bf$d3616d90$0401a8c0@vaiosn> From: "Stewart Nelson" To: rsgb_lf_group@blacksheep.org References: <000001c3c0a1$86f819e0$fce8c593@rsch15> Date: Fri, 12 Dec 2003 06:54:21 -0800 MIME-Version: 1.0 X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2720.3000 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 Subject: Re: LF: Related Technical Query - Soundcard calibrator Content-Type: multipart/mixed; boundary="------------060003050300090507040700" X-Spam-Checker-Version: SpamAssassin 2.60 (1.212-2003-09-23-exp) on post.thorcom.com X-Spam-Status: No, hits=0.8 required=5.0 tests=HTML_30_40,HTML_MESSAGE autolearn=no version=2.60 X-SA-Exim-Scanned: Yes Sender: Precedence: bulk Reply-To: rsgb_lf_group@blacksheep.org X-Listname: rsgb_lf_group X-SA-Exim-Rcpt-To: rs_out@blacksheep.org X-SA-Exim-Scanned: No; SAEximRunCond expanded to false X-Spam-Rating: 2 This is a multi-part message in MIME format. --------------060003050300090507040700 Content-Type: text/html; charset=windows-1252 Content-Transfer-Encoding: 8bit
Hi Andy and all,
 
I was unaware of H&H, but my previous post gave the same answer.  It was based
on my naive analysis that white noise was spread evenly from 0 to fs/2,
and that the sin(x)/x effect should not affect low frequencies.
 
When I saw Stewart Bryant's post, it seemed that there really needed to be
a PI in there, so I shut up.  Now I'm not so sure.
 
I used Cool Edit to generate 1 second of white noise at 48 kHz.
Passed it through a script that changed positive values to 8 samples of
+1/2 full scale, and negative values to 8 samples of -1/2.  This is a
rough approximation to a shift register clocked at 6 kHz.
 
A small piece of the wave looks like this.
 
 
The RMS power reported is -6.02 dB, much as one would expect.
 
The frequency analysis plot looks like this:
 
 
Then, I did a low pass filter at 100 Hz.  The RMS power now displays as -20.95 dB.
This agrees fairly well with the naive -6.02+10*log(100/3000) = -20.79 dB,
and appears to support the "no pi" theory.
 
Unfortunately, I can't explain where the pi went :(
 
73,
 
Stewart KK7KA
 
----- Original Message -----
From: "James Moritz" <J.R.Moritz@herts.ac.uk>
To: <rsgb_lf_group@blacksheep.org>
Sent: Friday, December 12, 2003 3:17 AM
Subject: RE: LF: Related Technical Query - Soundcard calibrator

> Dear Andy, LF Group
>
> I hate to throw a spanner in the works, but... A noise source of exactly
> this type is discussed in Horowitz & Hill "The Art of Electronics" 2nd
> ed., section 9.34. This gives the formula (in the form Andy has used)
> Vrms^2 = Vpk^2 * 2 * BW /Fclock, (giving 224mV rms) which is different
> by a factor of sqrt(pi) from the value Andy gets. I spent some time last
> night trying to figure out which one is correct, and came out with a
> reasonably convincing case for Horowitz & Hill's formula - if anyone is
> interested, I will put it into an e-mail compatible form
>
>
> Cheers, Jim Moritz
> 73 de M0BMU
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