A certain discrete-time system is described by the following difference equation. [ begin{aligned} & y[n]-frac{1}{12} y[n-1]-frac{1}{6} y[n-2]+frac{1}{48}
Question:
A certain discrete-time system is described by the following difference equation.
\[
\begin{aligned}
& y[n]-\frac{1}{12} y[n-1]-\frac{1}{6} y[n-2]+\frac{1}{48} y[n-3] \\
& \quad=x[n-1]-\frac{3}{8} x[n-2]+\frac{1}{32} x[n-3]
\end{aligned}
\]
Determine the system T.F. Form the state space equation in the diagonal form. What are the eigen values of the system?
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