Out of the Loop
Consider the following system:
Part 1
Assume that the system is initially "at rest" and the input is the unit sample signal:
x[n] = \delta[n] = \begin{cases}
1 & \text{if}~n=0 \\
0 & \text{otherwise}
\end{cases}
Compute the first 5 samples of the output of the system.
y[0] =
y[1] =
y[2] =
y[3] =
y[4] =
Part 2
For n > 4, the solution can be written as:
y[n] = ab^n
where a and b are constants. Determine a and b. These numbers will be checked by Python, so you may enter your answers as fractions if necessary.
a =
b =