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Exercises

  1. A sound has fundamental 440. How could it be ring modulated to give a tone at 110 Hz with only odd partials? How could you then fill in the even ones if you wanted to?

  2. What carrier and modulation frequencies would you give a two-operator FM instrument to give frequencies of 618, 1000, and 2618 Hz? (This is a prominent feature of Chowning's Stria [DJ85].)

  3. Suppose you wanted to make FM yet more complicated by modulating the modulating oscillator, as in:

    \begin{displaymath}
\cos( \omega_c n + a \cos( \omega_m n + b \cos( \omega_p n )))
\end{displaymath}

    How would the spectrum differ from that of the simple two-modulator example (section 5.5.7)?

  4. A sinusoid at a frequency $\omega $ is ring modulated by another sinusoid at exactly the same frequency. At what phase differences will the DC component of the result disappear?



msp 2003-12-08