<p>Studying for a license from the <a
href="https://rsgb.org/main/">Radio Society of Great Britain</a> lead to
an interesting experiment.</p>
<p>What happens if one sine wave is modulated with another sine wave?
Similar to sending a pure tone over AM radio.</p>
<p>Apparently the result is two frequencies, one equal to the difference
of the two original frequencies and one equal to the sum.</p>
<p>Creating two tones and multiplying them in Nyquist Prompt in Audacity
then plotting the resulting spectrum concurs.</p>
<pre class="lisp"><code>(mult (sound (hzosc 1000)) (sound (hzosc 500)))</code></pre>
<p>The original tones were 1 kHz and 0.5 kHz.</p>
<p>The result was a peak at 0.5 kHz (the difference) and one at 1.5 kHz
(the sum).</p>
<p><img src="https://hackand.click/articles/am.png"
alt="Audacity" /></p>
<p>On another note, the manual mentions in practice if one of the tones
is the carrier frequency and one of them is the signal, then the carrier
should not be modulated all the way down to zero or all the way up to
maximum. This avoids distortion and clipping so the quality is better
when received. It is also more power efficient so the transmission can
travel further given the transmitter has a limited power output.</p>
