Digital Signal Processing Reference
In-Depth Information
z-plane
unit circle
2
3
Figure P11.18
11.20.
An LTI system is described by
y
[
n
]
x
[
n
]
*
h
[
n
], where
a
n=-
q
h[n] = 7
and
x[n] = d[n] + 2d[n - 1] + 3d[n - 3].
a
n=-
q
y[n].
Determine
11.21.
Find the inverse Z-transform of the following functions:
z
-9
z - a
(a)
F(z) =
z
-2
z - 3
.
(b)
F(z) =
11.22.
Consider a system with the transfer function
H(z).
(a)
Give any third-order transfer function such that the system is causal, but not stable.
(b)
Give any third-order transfer function such that the system is not causal, but stable.
(c)
Give any third-order transfer function such that the system is neither causal nor stable.
(d)
Give any third-order transfer function such that the system is both causal and stable.
11.23. (a)
Determine the stability of the causal systems with the following transfer functions:
4(z - 2)
(z - 1)(z - 0.8)
(i)
H(z) =
