Digital Signal Processing Reference
In-Depth Information
p
4
2 + e
jpt
4.21.
+ cos
a
3pt +
b
p
3
4.23.
(a)
v
0
=
1
6
,
C
k
=
1
j2pk
1 - e
-jkv
0
(b)
C
0
=
1
2
,
k Z 0
10
jkv
0
+ 5
C
xk
4.24.
C
yk
= H
1
jkv
0
2
;
C
xk
=
4.26.
(a)
C
1y
= 5.6939
∠
- 116.6°,
C
3y
= 1.1771
∠
- 146.3°,
C
5y
= 0.4729
∠
- 158.2°
1
2
-
1
4
a
a + jv
0
1
4
a
a - jv
0
e
j4t
e
-j4t
4.31.
(a)
y
1
t
2
=
-
CHAPTER 5
1
2
k
1 - e
-
b+ jv
t
0
5.2.
(a)
b + jv
Ape
jf
d
+ Ape
- jf
d
(b)
1
v - v
0
2
1
v + v
0
2
1
a - jv
(c)
Ce
jvt
0
(d)
A
2
A
2
5.6.
(a)
F
1
v
2
=
+
b + j
1
v - v
0
2
b - j
1
v - v
0
2
(c)
F
1
v
2
= 12prect
1
v
2
j2v
v
2
5.8.
(a)
+ 1
1
2
e
-
ƒ
v
ƒ
(b)
2p[e
-
ƒ
v- 2
ƒ
+ e
-
ƒ
v+ 2
ƒ
]
(c)
a
av
2
= aAsinc
2
5.10.
(a)
F
1
v
2
b
p
2
cos
5.11.
(a)
y
1
t
2
=
1
t
2
10
jv + 10
1
2
5.12.
(a) (i)
H
v
=
10
a
v
10
=-tan
-1
ƒ
H
1
2
ƒ
=
1
2
b
(ii)
v
,
∠
H
v
v
2
2
+ 100
= 10e
-10t
u
1
2
1
2
(iii)
h
t
t
