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Oscillation Frequency

If this system is to generate a real sampled sinusoid at radian frequency $ \omega$ , we must have modes of the form

\begin{eqnarray*}
\lambda_1 &=& e^{j\omega T}\\
\lambda_2 &=& e^{-j\omega T}
\end{eqnarray*}

Thus, we can determine the frequency of oscillation $ \omega$ from eigenvalues $ \lambda_i$ of $ A$ .


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``Introduction to State Space Models'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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