The Bullard Laws of Harmonics
Copyright © 2019
Dan P. Bullard
, all rights reserved.
"To know harmonics is to know the mind of God."
You'll have to
read the book
to understand them, however, links to online articles are provided to get you started.
Harmonic amplitudes are proportional to the
of the distortion.
is the result of the
where the sinusoid impacts the distortion as predicted by the Bullard Harmonic Solution.
Harmonics do not just fall off as the frequency increases as is commonly believed.
Even harmonics don't appear in symmetrical distortion because they cancel each other out.
When a portion of a sinusoid is removed (such as in clipping), the
mirrors the harmonic signature of the feature removed from the sinusoid.
The harmonics of a distorted sine wave will always start at 0, 90, 180 or 270 degrees relative to the fundamental, no exceptions.