x t
cos 4 t
2
w t
H ( j )
2
w t
5 4
1
4
5
0
1
y t
H ( j )
X j
1
4
0
Figure 2 5
0
y t
5 4
Figure 1
0
信号与系统试卷
2004年7月
2. (
10points来自G j 15 X j for 0 ,
x t
h 1 t
r1 t
r2 t
H 2 j
y t
p t
Figure 2
信号与系统试卷
4. (15 points) The system function of an LTI system is
2
(a)Specify the range of values for the sampling period T which ensures that r1 t is recoverable from
r2 t .
(b) If T
1 second, sketch the spectrum of r1 t and r2 t . 20
Attention: You must answer the following questions in English.
信号与系统试卷 2005 1.( 12 points)The spectrum X j of the signal x t is depicted in Figure 1.
the output y t 1 . (a) Determine the system function H s , then indicate the ROC of H s . (b) Determine the unit impulse response h t of this system, is this system causal? (c) For the input x t te u t , compute the output y t .