Decay of non-harmonics

The previous analysis describes the attenuation due to ``propagation'' around the loop.

Sinusoids that do not ``fit'' into the loop, are quicky destroyed by self interference.

Figure 17: Destructive interference occurs at odd harmonics of the fundamental frequency.
\scalebox{0.6}{\includegraphics{eps/destIntOdd.eps}}

Though the loop is initialized with random numbers, after a very short time the primary frequencies remaining in the loop are those with an integer number of periods in N + 1/2 samples.


``Music 206: Introduction to Delay and Filters II'' by Tamara Smyth, Computing Science, Simon Fraser University.
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Copyright © 2019-04-18 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>