北邮通信原理课后习题答案
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北邮通信原理课后习题答案第三章
1
2
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4 5
6 6.1
6.2
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10
(1)
(2) stmtctftAcft()()()sin(2)sin(2),,,,mc Ac ,,,,[cos2()cos2()],,cmcmfftfft2
Ac (){[()][()]},,,,,,,,cmcmSfffffff4 Ac ,,,,,,{[()][()]},,cmcmffffff4 (3)相干解调
输出y0(t)r(t)
理想低通滤波器
Cos(Wct)
与发端相干解调
相干解调:将接收信号与载波信号相乘,得到 sin(2),fct
Ac rtftAmtftft()sin(2)()sin(2)sin(2),,,ccc,c,,()[1cos(4)],mtftc2
Ac 通过低通滤波器抑制载频的二倍频分量,得到解调信号为 0()()ytmt,2 444st()cos(21021.110,,,,,,,,ttt)4cos()cos(21.210),,,2解:(1) 44,,4cos(21.110)[10.5cos(20.110)],,,,,,tt
调制系数是a=0.5; 信号频率是f=1000Hz
14444 (2) ,,,,,,,,,,,,,,Sfffff()[(10)(10)]2[(1.110)(1.110)]2 144 ,,,,,,,,[(1.210)(1.210)]ff2
S(f)
5/2
2
3/2
1
1/2
10000120000f(Hz)-12000-10000-1100011000
(3)
r(t)y(t)
包络检波器
3解:(1)已调信号无法用包络检波解调,因为能包络检波的条件是, mt()1, 这里的,用包络检波将造成解调波形失真。 Amt,,,max()151
(2)
0(t)yr(t)
理想低通滤波器
cos(2*pi*fct)
载波提取电路
相干解调:将接收信号与载波提取电路的信号相乘,得到 cos(),ct
Ac ()cos()()cos()cos()()[1cos(2)],,,,ccccc,,,rttAmtttmtt2
Ac 通过低通滤波器抑制载频的二倍频分量,得到解调信号0()()ytmt,2 (3)
s(t)m(t)
p/Aca=A
Accos(2*pi*fc*t)
发端加导频的DSB-SC AM信号产生框图
r(t)导频窄带滤波器提取频率为fc的
载波
如上图:在DSB-SC信号上加上导频,在接收时就可以提取导频作为解调波4解:(1)stfft()2cos[2()],,cm,
Sfffffff()()(),,,,,,,,cmcm
S(f)
2
1
0-(fc+fm)fc+fmf
(2)调制方式为上边带调制。
(3)
0(t)yr(t)
理想低通滤波器
cos(2*pi*fct)
载波提取电路
5解:(1) mttt()cos20002sin2000,,,,
,
mt(),,sin20002cos2000,,tt
(2)调制信号:m(t)
5ctAt()cos(2810),c,,,,载波:
下边带信号为:
AAcc55ˆ 下()()cos(2810)()sin(2810),,,,,,,,,,stmttmtt22 5,50(cos(2810)cos20002sin2000),,tt,,,,,t
5,50(sin(2810)sin20002cos2000),,tt,,,,,t
55,,50[cos(2810)sin(2810)]cos2000sin2000,,tt,,,,,,,,tt 55,,100[cos(2810)sin(2810)]sin2000cos2000,,tt,,,,,,,,tt 33,,50[cos(279910)2sin(279910)],,,,,,tt
11 下,,,,,,,,,Sfffjf()50[(79900)(79900)(79900)22
,,jf,(79900)]
11 ,,,,,,,,50[()(79900)()(79900)]jfjf22
Sfff下()255[(79900)(79900)],,,,,, (3)
S(f)
50?550?5
-799000f(Hz)79900
ˆstAmtftAmtft上()()cos2()sin2,,cccc,,6 解:(1)A:
33ˆ,,AmttAmttcc,,,,,,,,()cos(245510)()sin(245510)
ˆ B: stAmtftftAmtftftB()()cos(2)cos(2)()sin(2)cos(2),,cccccc,,,,
1ˆ ,,,AmtAmtftAmtftccccc,,[()()cos(4)()sin(4)]2
1 C: stAmtC,c()()2
ˆ D: stAmtftftAmtftftD()()cos(2)sin(2)()sin(2)sin(2),,cccccc,,,, ,,1 ,,,AmtftAmtcosftAmtccccc,,[()sin(4)()(4)()]2
1ˆ E: stAmtE,,c()()2
1 F: stAmtF,c()()2
G: stAmtG()(),c
(2)只需最末端的相加改为相减即可,如图:
BCcoswctLPF
+震荡器s(t)GA
-90度-
FE希尔伯特滤LPF波器Dctsinw
ˆA: s下()()cos2()sin2tAmtftAmtft,,cccc,,
33ˆ,,AmttAmttcc,,,,,,,,()cos(245510)()sin(245510)
ˆ B: stAmtftftAmtftftB()()cos(2)cos(2)()sin(2)cos(2),,cccccc,,,, 1ˆ ,,,AmtAmtftAmtftccccc,,[()()cos(4)()sin(4)]2
1 C: stAmtC,c()()2
ˆ D:stAmtftftAmtftftD()()cos(2)sin(2)()sin(2)sin(2),,cccccc,,,, ,,1 ,,,AmtftAmtAmtftccccc,,[()sin(4)()()cos(4)]2
1ˆ E: stAmtE,c()()2
1 F: stAmtF,,c()()2
stAmtG()(),c G:
7解:解调框图: