of modulation inherently distorts without any compensating
advantages whatsoever").
</p>

<p>One hidden aspect of the FM expansion is that it produces a time domain waveform that is not "spikey".
If we add cosines at the amplitudes given by the Bessel functions (using additive synthesis to
produce the same magnitude spectrum as FM produces), we get a very different waveform.  Doesn't the
FM version sound richer and, far more importantly, louder? 
</p>

<table class="borderedm">
<tr><td>
<img src="pix/fmtime