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1
CHAPTER 1
1.1 to 1.41 - part of text
1.42 (a) Periodic:
Fundamental period = 0.5s
(b) Nonperiodic
(c) Periodic
Fundamental period = 3s
(d) Periodic
Fundamental period = 2 samples
(e) Nonperiodic
(f) Periodic:
Fundamental period = 10 samples
(g) Nonperiodic
(h) Nonperiodic
(i) Periodic:
Fundamental period = 1 sample
l.43
(a) DC component =
(b) Sinusoidal component =
Amplitude =
yt() 3 200t
π
6
---+
cos
2
=
9 200t
π
6
---+
2
cos=
9
2
---
400t
π
3
---+
1cos=
9
2
---
9
2
---
400t
π
3
---+
cos
9
2
---
2
Fundamental frequency =
1.44 The RMS value of sinusoidal x(t) is . Hence, the average power of x(t) in a 1-ohm
resistor is = A
2
/2.
1.45 Let N denote the fundamental period of x[N]. which is defined by
The average power of x[n] is therefore
1.46 The energy of the raised cosine pulse is
1.47 The signal x(t) is even; its total energy is therefore
200
π
---------
Hz
A 2⁄
A 2⁄()
2
N
2π
Ω
------=
P
1
N
----
x
2
n[]
n=0
N-1
∑
=
1
N
----
A
2
2πn
N
---------- φ+
2
cos
n=0
N-1
∑
=
A
2
N
------
2πn
N
---------- φ+
2
cos
n=0
N-1
∑
=
E
1
4
---
ωt()1+cos()
2
td
πω⁄–
πω⁄
∫
=
1
2
---
ωt()2 ωt()1+cos+
2
cos()td
0
πω⁄
∫
=
1
2
---
1
2
---
2ωt()
1
2
---2 ωt()1+cos++cos
td
0
πω⁄
∫
=
1
2
---
3
2
---
π
ω
----
3π 4ω⁄==
E 2 x
2
t()td
0
5
∫
=
3
1.48 (a) The differentiator output is
(b) The energy of y(t) is
1.49 The output of the integrator is
for
Hence the energy of y(t) is
1.50 (a)
21()
2
t 25t–()
2
td
4
5
∫
+d
0
4
∫
=
2 t[]
t=0
4
2
1
3
---
5 t–()
3
–
t=4
5
+=
8
2
3
---+
26
3
------==
yt()
1 for 5 t 4–<<–
1– for 4 t 5<<
0 otherwise
=
E 1()
2
t 1–()
2
td
4
5
∫
+d
5–
4–
∫
=
11+2==
yt() A ττd
0
t
∫
At== 0tT≤≤
EA
2
t
2
td
0
T
∫
A
2
T
3
3
-------------==
-1 -0.8 0 0.8 1 t
x(5t)
1.0
-25 -20 0 20 25 t
x(0.2t)
1.0
(b)
4
1.51
1.52 (a)
0 0.1 0.5 0.9 1.0
x(10t - 5)
1.0
t
x(t)
1
-1
1 2 3
t
-1
y(t - 1)
t
-1 1 2 3
-1
x(t)y(t - 1)
t
1
1
2 3
-1
-1
5
1.52 (b)
1.52 (c)
x(t - 1)
1
t
t
1
y(-t)
t
1 2 3 4
-1
-1
-2 -1 1 2 3 4
1
-1
x(t - 1)y(-t)
-2 -1 1 2 3 4
-1
-2
-1 1 2 3
-1
1 2 3 4
t
t
-2 -1
x(t + 1)y(t - 2)
t
-2 -1 1 2 3 4
x(t + 1)
1
y(-t)
剩余633页未读,继续阅读
资源评论
- xxxRXxxx2014-05-30注意这本书书答案
- xudianhui2014-09-22非常不错的资源
- qq1195432132014-12-06The answer is not complete right.
lacorda100
- 粉丝: 0
- 资源: 8
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