Digital Signal Processing Reference
In-Depth Information
13.18.
Consider the system of Problem 13.9, given by
1.9 0.8
-10
0
0.95
x
[n + 1] =
B
R
x
[n] +
B
R
u[n];
y[n] = [1.5
-1.3]
x
[n] + 2u[n].
(a)
Find the transfer function for this system.
(b)
Use a similarity transformation to find a different state model for this system.
(c)
Use MATLAB to verify the results of parts (a) and (b).
(d)
Calculate the transfer function of part (b). This function should equal that of part (a).
(e)
Verify the results in part (d) using MATLAB.
(f)
You have just verified Property 4, (13.64), of similarity transformations. Verify the
other three properties in (13.61), (13.62), and (13.63).
13.19.
Consider the system of Problem 13.18.
(a)
Determine whether this system is stable.
(b)
Give the system modes.
(c)
Use MATLAB to check the results in part (a).
13.20.
Consider the system of Problem 13.8(i).
(a)
Use MATLAB to determine whether this system is stable.
(b)
Give the system modes.
