Digital Signal Processing Reference
In-Depth Information
Next, we find the locations of the two complex poles in the second quadrant
and the second-order zeros from (2.40)-(2.47). A pole-zero plot is shown in
Figure 2.17.
φ
0
= 1π/8
σ
'
0
= −0.525999
ω
'
0
= +1.570393
σ
0
= −0.191774
ω
0
= −0.572549
φ
0
= 3π/8
σ
'
0
= −1.269874
ω
'
0
= +0.650478
σ
0
= −0.623801
ω
0
= −0.319535
(Zeros)
σ
z0
= +0.0
ω
z0
= +1.082392
(Zeros)
σ
z1
= +0.0
ω
z1
= +2.613126
Finally, we generate the transfer function from (2.48)-(2.54). (Refer to
Example 2.6 for an explanation of the two transfer functions.) The WFilter
coefficients are shown in Figure 2.18.
2
2
0
022387
⋅
(
S
+
1
1716
)
⋅
(
S
+
6
8284
)
*
H
I
(
S
)
=
,
4
2
2
(
S
+
0
38355
⋅
S
+
0
36459
)
⋅
(
S
+
1
2476
⋅
S
+
0
49123
)
2
2
0
.
022387
⋅
(
S
+
4
.
6863
)
⋅
(
S
+
27
.
314
)
H
I
(
S
)
=
,
4
2
2
(
S
+
0
.
76710
⋅
S
+
1
.
4584
)
⋅
(
S
+
2
.
4952
⋅
S
+
1
.
9649
)
Figure 2.17
Pole and zero locations for fourth-order inverse Chebyshev filter.
