Digital Signal Processing Reference
In-Depth Information
5.14.
(a)
G 1
1
v
2
= 0.02[sinc
1
0.005
1
v + 100p
22
+ sinc
1
0.005
1
v - 100p
22
]
50
p sinc
5.15.
(a)
g
1
t
2
=
1
10t
2
j0.25v
-0.25v 2
5.16.
(a)
+ 2.5jv + 6
-v 2
(c)
-v 2
+ 5jv + 6
a np
2
np
2
= a n=- q 10psinc
5.18.
(a)
G p
1
v
2
b
d
a
v -
b
5.20.
(a)
psinc
1
t
2
5.21.
-4 6 A 6 4
p
j
c 10
10
10 - j50 d
5.22.
(a)
V 2
1
v
2
= V 1
1
v
2
H
1
v
2
=
10 + j50 d
1
v - 50
2
-
1
v + 50
2d
5.27.
(a) 91%
5.28.
(a)
P y
1
v
2
= 200d
1
v + 200
2
+ 648
1
v + 150
2
+ 648
1
v - 150
2
+ 200
1
v - 200
2
CHAPTER 6
a n
= p a 3
6.3.
(a)
Y
1
v
2
n=-3 sinc
2 p
b
d
1
v - n50p
2
1
2 +
2
p cos
2
3p cos
y
1
t
2
=
1
50pt
2
+
1
150pt
2
a n
= p a 1
(c)
Y
1
v
2
n=-1 sinc
2 p
b
d
1
v - n100p
2
1
2 +
2
p cos
y
1
t
2
=
1
100pt
2
1
6.5.
H
1
v
2
=
b .
This is a bandpass filter.
a vL
1
vRC
1 + j
R -
V o
1
v
2
1
6.7.
H
1
v
2
=
=
V i
1
v
2
v 2
v c
2
2v
v c
1 -
+ j
1
1
ƒH
1
v
2
ƒ =
=
2v 2
v c
v 4
v c
2v 2
v c
b 2 d 2
ca v
v c
1 -
+
+
1 +
C
C
which is a 2nd order Butterworth frequency response function.
 
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