Feedforward Systems
1) System 1
Consider the system described by the following difference equation:
y[n] = 3x[n-1] + 6x[n-2]
What will be the output of this system when its input is the unit sample signal?
x[n] = \delta[n] = \begin{cases}
1, & \text{if}~n=0 \\
0, & \text{otherwise}
\end{cases}
Enter the first 5 samples of the output in the boxes below. Enter a single number in each box, and assume the system starts at rest.
y[0]~=~
y[1]~=~
y[2]~=~
y[3]~=~
y[4]~=~
2) System 2
Consider a system that produces the following output when given the unit sample signal as input:
A difference equation is in the form: y[n] = c_0 y[n-1] + c_1 y[n-2] + \ldots + c_{k-1} y[n-k] + d_0 x[n] + d_1 x[n-1] + \ldots + d_j x[n-j]
Specify the dCoeffs: d_0 \ldots d_j and the
cCoeffs: c_0 \ldots c_{k-1} as Python lists
below. If one set of coefficients is empty, enter the empty list, [].
Difference Equation:
dCoeffs (input):
cCoeffs (output):