The Ghost wrote:

Thank you for pointing out the fact that Bob Cain used your formula to
predict the Doppler IM distortion levels that he provided. Knowing that
fact certainly clears up my confusion over Bob Cains ability to provide
seemingly correct distortion numbers and his total inability to present
either a sensible and coherent verbal or mathematical explanation of how
the distiotion numbers were calculated.

Please notice the difference between what I wrote and what
Zigoteau wrote. His approach, a first order approximation
using a M-T power series, yields (using common symbols and
frames of reference):

Vp(d,t) = Vd(t - (d - Sd(t-d/c))/(c - Vd(t-d/c)))

Mine, which involves no approximation, yields:

Vp(d,t) = Vd(t - (d - Sd(t-d/c))/c)

I answered you as to precisely what my symbols mean and how
to get from that relationship to a closed form solution for
two sinusoids.

Rather than attempting an expansion of that to yield an
approximation for the distortion products, I simply generate
a band limited signal from that two sinusoid solution and
use a combination of Matlab and tools designed for audio
signal manipulation to measure what's in that signal in both
the frequency and time domain. I am interested in
quantitative answers to the question rather than in
demonstrating mathematical prowess.


Bob
--

"Things should be described as simply as possible, but no
simpler."

A. Einstein