Digital Signal Processing Reference
In-Depth Information
6.30
(a) Using the M
ATLAB
function
roots
, calculate the location of poles
and zeros of the following transfer functions:
(i)
H
1
(
s
)
=
s
2
−
5
s
−
84
s
4
+
7
s
3
−
33
s
2
−
355
s
−
700
;
(ii)
H
2
(
s
)
=
s
2
−
19
s
+
84
s
4
+
7
s
3
−
33
s
2
−
355
s
−
700
;
(iii)
H
3
(
s
)
=
s
3
+
20
s
2
+
15
s
+
61
s
4
+
5
s
3
+
31
s
2
+
125
s
+
150
;
(iv)
H
4
(
s
)
=
s
3
−
10
s
2
+
25
s
+
7
s
6
+
6
s
5
+
42
s
4
+
48
s
3
+
288
s
2
+
96
s
+
544
;
(v)
H
5
(
s
)
=
s
2
+
3
s
+
7
s
3
+
(6
−
j7)
s
2
+
(11
−
j28)
s
+
(6
−
j21)
.
(b) From the location of poles and zeros in the s-plane, determine if the
systems are (i) absolutely stable, (ii) marginally stable, or (iii) unstable.
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