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第四章 模拟角调制. 张燕 [email protected]. 非线性调制(角调制)的原理. 幅度调制属于线性调制,它是通过改变载波的幅度,以实现调制信号频谱的平移及线性变换的。一个正弦载波有 幅度、频率和相位 三个参量,因此,我们不仅可以把调制信号的信息寄托在载波的幅度变化中,还可以寄托在载波的频率或相位变化中。这种使高频载波的频率或相位按调制信号的规律变化而振幅保持恒定的调制方式,称为频率调制( FM )和相位调制 (PM) 。因为频率或相位的变化都可以看成是载波角度的变化,故调频和调相又统称为角度调制。. - PowerPoint PPT Presentation
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FM(PM)
FM
4.1 4.2 4.3 4.5 4.8 FDM4.9
4.1
1(PM)f(t) (KPM)()
2(FM)f(t) (KFM)()()
()(), , , , , , f(t) f(t) f(t) f(t) 1)2)()()
f(t)=Amcosmt
PMFM12
4-1 AMFMPM
4 2
(a)
(b)
PM
d()
dt
f(t)
g(t)
FM
sPM(t)
(b)
sPM(t)
f(t)
(a)
4 -3
(a)
(b)
FM
sFM(t)
f(t)
(a)
()dt
f(t)
g(t)
PM
sFM(t)
(b)
(-,) FM
4-2 KFM =2
(1)fc (2) (3) (4)f(t)
(4) f(t)(3)
30(NBFM)(NBPM)(WBFM)(WBPM)4.2
4.2.1 (NBFM, Narrow Band FM)
(NBFM)(AM): 1,c 2BFMfmBFM=2fm 3cc+mc-m
(NBFM)(AM) 1NBFM1/(-c)1/(+c) , 2NBFM180 3NBFMAM
(NBFM)NBFMAM (AM)
4 4 AMNBFM
() 4- 6
+
-
-90
f(t)
Acosct
sNBFM(t)
4-5 AMNBFM
m
m
m
m
*4.2.2 NBPM
4- 7
+
-
-90
f(t)
Acosct
sNBPM(t)
4.3 WBFMwide band FM FM
4.3.1 1
, Jn(FM)FMnnn(1)(2)(3)n>1
4-8 Jn(FM)- FM(1)(2)(3)(n>1)
1.0
0.8
0.6
0.4
0.2
0
-0.2
-0.4
Jn(FM )
FM
1
2
3
4
5
6
7
8
9
10
11
J0
J1
J2
J3
J4
J5
n(012 nnsFM(t),
1 2n0AJ0(FM) 3n0cncnmmAJn(FM)
4 9 FM=5
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
J-2
J-1
J-3
J0
J1
J3
J2
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
J-2
J-1
J-3
J0
J1
J3
J2
c+nm
-c-nm
J6
J6
J-6
J-6
J4
J4
J-4
J-4
J-5
J-5
J5
J5
BFM
c
-c
...
...
...
...
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
J-2
J-1
J-3
J0
J1
J3
J2
c+nm
J6
J-6
J4
J-4
J-5
J5
BFM
c
...
...
2 nJn(FM)n
nmax
()1+FM
4-10 (a) fmfmaxFM
4-10 (b) fmaxfmFM
3n=0n0
?1FM0J0(0)1A2/22FM0J0(FM)1A2/2
3FMFMPC, Pf PFM
4-3 2MHz10kHz10kHz(1) (2) (3) (4) fm=10kHzfmax=10kHz(1) BFM=2(fmax+fm)=2(10+10)=40kHz
(2) FMFM=2 BFM=2(FM+1)fm=2(2+1)10=60kHz(3) fm=20kHz BFM=2(fmax+fm)=2(10+20)=60kHz(4) FMfm=20kHz BFM=2(FM+1)fm=2(1+1)20=80kHz
44 (1)FM=3A(2)FM=0.5: (1)4 J0(3)-0.260 J1(3)0.339 J2(3)0.486 J3(3)0.309 J4(3)0.132 J5(3)0.043(< 0.1)4-11
4-11 4-4
4
99.60.4
(2)FM=0.5J0(0.5)=0.9385, J1(0.5)=0.242, J2(0.5)=0.0306 1
99.9
FM AM FMAM AMAMAMAMAM1 FM FMFMFMAM
4.3.2
4.3.4
*4.3.4 DFMDFMFMfmaxfm
4.5 4.5.1 1 4-12
(VCO, Voltage Controlled Oscillator)
12
1 2
4-13
1L1C4C3LC1C2Cj2
PLL(PLL ------ Phase locked loop)LC 4 14 PLL
PD
LF
VCO
F(t)
FMPM
2(NBFM) (4-15) NBFM(WBFM) 4 15
N
f(t)
sNBFM(t)
sWBFM(t)
Acosct
f1, f1, 1
nf1, nf1, n1
n
1
f
1
4- 16
+
-
-90
f(t)
Acosct
sNBFM(t)
(n2)- si(t)
2
2,2
nnn
fcfrfc+frfc+frfc-fr4-17
2
f0
02(t)FM
4-5 15kHzf1=200kHzf125Hzf275kHzfo90MHznfr
f1=25Hzf2=75kHz
90MHz
418Armstrong f1f11fcfFM, FM
4 - 18Armstrong
FM
NBFM
n1
cos 2f1t
BPF
n2
f(t)
f1
f1
1
n1 f1
n1f1
n11
cos 2frt
n1 f1-fr
n1f1
fFM
fc
sWBFM(t)
n11
4-6 4-18 fm=15kHzf1=200kHzf125Hzfr=10.9MHzn1=64n2=48 1 2
1f1fm
2f1, f2, n1, n2
4.5.2 ----- -----1.
-Kd 4 19
(a)
(b)
fc
Kd
(a)
sFM(t)
sd(t)
so(t)
(b)
1 ,LCfc4-20
4-21
LCf0f0fc A(U2m(U2m f(t)(U2m
LCu2 4-214-20
24-22
If01f02 f01 fc= fc-f02uav1uav2
f(t)=fcD1D2U1m=U2m, f(t)
u0=uav1-uav24-22U2m~f 4-23f01 f02 4-23
3PLL 4 24 PLL
PD
VCO
si(t)
sv(t)
uc(t)
2 4- 25
sNBFM(t)
si(t)
c(t)
sp(t)
sd(t)
fo(t)
4.8 FDM Frequency Division Multiplex (FDM)(TDM)
,
4.8.1
4-27
f1(t)
f2(t)
f3(t)
cos1t
cos2t
cos3t
Y()
0
1
2
3
y(t)
0
-m
m
0
-m
m
0
-m
m
F3()
F2()
F1()
2
1
3
P1()
0
1
2
3
p1(t)
p2(t)
p3(t)
cos1t
cos2t
cos3t
0
1
2
3
0
1
2
3
P2()
P3()
y(t)
f1(t)
f2(t)
f3(t)
0
-m
m
0
-m
m
0
-m
m
F3()
F2()
F1()
BsBg Bs3400HzBg600HzB=4kHz
: :
4.8.2 4-32
nnn2n1
12 121212 n1=3, n2=4 n1+n2=7n1+n2=7n1n2+n2=16 16
4.8.3
SSB/FM
4.9 4.9.1 4-1
4.9.2 535kHz1605KHz3.9MHz18MHz4.5kHZB9kHz
4.9.3 .,15 KHz,200KHz87MHz108MHz
4.9.4
4.9.4 4-44
4.9.7 900 MHZ 900MHZ
fH3 kHzfmax5kHz B253Bg20kHzBg25 kHz
1 2V5kHz,PM5 (1)500HZ1kHZ (2)2kHZ6V4.1 (1) , KPM2, f(t) (2) , KFM2, f(t) (3)
4.4 1GHz10kHz10kHz (1) FM (2) (3) (4) 4.8 1kHz s(t)=100cos(ct+25cosmt)(1) m5(2) m1/5
4.11 4.112MHz10kHz300kHz
2
: (1) (2) FM3 10V
: (1)(2)(3)2103Hz
4 600~4kHzSSBFM2(1)(2)
4.5 4-1So/NoSin0fm(4.2-18)(4.2-26)(4.2-39)(4.4-8)AM100%1. WBFMDSBSSBVSBAMNBFMAM
4-1
4-31 DSBSSBAM4.7dBFMmf=6AM22 dBFMmfSSB
WBFMDSBSSBVSBAMNBFMAM FMFM,SSB,
2. AM AM DSBAM
SSBAM, AMSSB
VSB VSBSSBVSB VSBVSB+C(VSB+C)AM SSBDSBVSB
FM FMFMFMFMFMFMFM