From: "John Miles" <[EMAIL PROTECTED]> Subject: Re: [time-nuts] Help w/integration problem Date: Mon, 2 Jan 2006 11:42:33 -0800 Message-ID: <[EMAIL PROTECTED]>
> > Yes, the magic happends between (11) and (12). The integration is > > 0 to infinity > > and not -infinity to infinity, since we already know it mirrors arround 0. > > Mind you that these are twice the power, not twice the amplitude. > > The energy at > > fc-f will have the same energy and be coherent to the energy at > > fc+f, so these > > energies add up perfectly. There is a special-case when you can't > > argue like > > this, but we can look the other way here and pick out the real reference > > literature when we need to. > > Thanks; you're right, given the integration limits in the Maxim note, their > way makes more sense. Indeed. It took some time to get sure, but once I was sure it was obvious. > > > On page 7 of the Zarlink app note, the x2 factor is left > > outside the radical > > > sign: > > > > > > RMS = sqrt(sum) * 2 > > > > Looks like sloppy work to me compared to the Maxim paper, which gives > > motivation to the formulas. > > Agreed. I'll leave the *2 operation inside the radicand. Much appreciate > the help! Anytime! Also, if you look at the Maxim paper, it rather looks like a graphical error not to extend the squareroot sign all the way. The logical place to put the 2 if not included in the square-root is actually before as customary. Cheers, Magnus _______________________________________________ time-nuts mailing list time-nuts@febo.com https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts