Problem Set 10: Problem 4
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JY Note Apr 6, 2020: Please ignore part (b) which has an error in the answer.
NB: Enter your matrices with nested square brackets (e.g., [[a,b], [c,d]] to represent
$\begin{bmatrix} a & b \\ c & d \end{bmatrix}$ or [[a], [b]] to represent
$\begin{bmatrix} a \\ b \end{bmatrix}$
The block-diagram representation of a discrete-time system is shown in the figure below. In the system, a = 6, b = 8, c = 3, d = 3, and e = 4.
x[n]
?
$v_1[n]$
$z^{-1}$
$v_2[n]$
e
y[n]
a) Find the state-space representation of the system and enter each of the [A, B, C, D] matrices below.
A =
B =
C =
D =
b) Determine the impulse response of the system for n ? 1.
h[n] =
Note: You can earn partial credit on this problem.