Digital Signal Processing Reference
In-Depth Information
1
2
(
z
+
2
1
2
)
Hz
ap
()
=
⎛
⎜
⎞
⎟
z
+
then the condition
()
=
()
j
ω
j
ω
He
H
e
min
is ensured.
2.2
Problem Solving
Exercise 1: Solve the following problems, briefly outlining the important
steps.
a.
Determine the overall impulse response of the system shown below
in Figure 2.2, where
hn
(
)
=−+
δ
(
n
13
)
δ
(
n
)
1
hn
(
)
=−+
δ
(
n
22
)
δ
(
n
)
2
hn
(
)
=
6
δ
(
n
−
6
)
+
7
δ
(
n
−
4
)
−
3
δ
(
n
−
1
)
+
δ
(
n
)
3
b.
A causal, linear, time-invariant discrete-time system has system
function:
(
)
(
)
−
1
−
2
105
−
.
z
14
+
z
Hz
()
=
(
)
−
2
1064
−
.
z
+
y(n)
x(n)
h
1
(n)
h
2
(n)
h
3
(n)
FIGURE 2.2
Figure for problem (a).
