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通信原理. 第 9 章模拟信号的数字传输. 抽样信号. 抽样信号. 量化信号. t. 011. 100. 100. 011. 011. 100. 100. 编码信号. 第 9 章 模拟信号的数字传输. 9.1 引言 数字化 3 步骤: 抽样 、 量化 和 编码. 第 9 章 模拟信号的数字传输. 9.2 模拟信号的抽样 9.2.1 低通模拟信号的抽样定理 抽样定理 :设一个连续模拟信号 m ( t ) 中的最高频率 < f H ,则以间隔时间为 T 1/2 f H 的周期性冲激脉冲对它抽样时, m ( t ) 将被这些抽样值所完全确定。 - PowerPoint PPT Presentation
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9
9 9.1 3
99.2 9.2.1 m(t) < fHT 1/2fHm(t)fHm(t) T(t)Tfs = 1/TT ms(t) = m(kT)
9
9M(f)(f)Ms(f)m(t)T(t)ms(t)m(t)T(t)M(f)(f)ms(t)Ms(f)
(f)
Ms(f)
9
M(f - nfs)M(f)nfsMs(f)fsM(f)
9f
9m(t)fHfs 2fHMs(f)M(f)Ms(f)m(t)M(f)
fsfH2fH
9fs 2fHfH
fs2fH 3400 Hz8000 Hz
99.2.2 fLfHfLfHB = fH fLfs
B n (fH / B)n =12 k (fH / B)0 < k < 1fsfL
9fLfHB0 fL < BB fH < 2Bn = 1fs = 2B(1 + k)k01fs2B4BfLBfH2Bn = 2k0fs = 2Bfs4B2BB fL < 2B2B fH < 3Bn = 2fs = 2B(1 + k/2)k01fs2B3BfL2BfH3Bn = 3k0fs = 2Bfs3B2B
9fL = 0fs 2BfLfs2BfLfHBfs2B fs
99.3 4 33(PAM)(PDM)(PPM)
9
9PAMPAMm(t)M(f)s(t)s(t)TS(f)Ams(t)m(t)s(t)ms(t)
sinc(nfH) = sin(nfH) / (nfH)
9PAM
9s(t)T (1/2fH)fs 2fHfHPAMms(t)PAMPAM
9
H(f)MH(f)Ms(f)
9
MH(f)Ms(f)H(f)1/H(f)
99.4 9.4.1 m(kT)TkNNM = 2NMMM
9
MM
9m(kT)mq(kT)q1, q2,,qi, , q66m1, m2, ,mi, , m5
m(kT)
9m(kT)mq(kT)
99.4.2 abM
qi
9Nq
mkm(kT)mqmq(kT)f(mk)mkEM
9mk
mk
99.1M[-a, a]
9
M
99.4.3 MvNq
9vvxyy = f(x)y x x
9
01y 01N
9xx x x
k
9
c (x = 1y = 1)k + c =0c = -kc y f(x)
x 0y - x0y0
9(ITU)A 1315A1315
9 AA
x y A A yxyx
9A
obobAb(x1, y1)
1/A, Ax1/(1+lnA)AAA87.6
913 A A13A
9x0181/2181/41/271/81/4601/1281y 88(x, y)12
12345678 161684211/21/4
93112312141313
913Ay0, 1/8, 2/8, 3/8, , 1AA87.6x1
x1y1y1
A(0, 0)(0.0114, 0.183)
9
131y = 1/8 = 0.125y1Ax1/128y > 0.183Axx
yA = 87.6
913A = 87.6A
I 876543210y =1-i/801/82/83/84/85/86/87/81Ax01/1281/60.61/30.61/15.41/7.791/3.931/1.98113x=1/2i01/1281/641/321/161/81/41/2112345678161684211/21/4
915AA87.6 1161613 213Ax1/2i (i = 0, 1, 2, , 7)Ax = 1/2iy = 1 i/8
9
A
x = 0y y = 0x = 1/28x = 0y = 0x = 1y = 1
x = 0y = 0x = 1y = 1(x < 1/128)255
9
15Ay018x
981515
i 012345678y = i/801/82/83/84/85/86/87/81x=(2i - 1) / 25501/2553/2557/25515/25531/25563/255127/2551 2551/81/161/321/641/1281/2561/5121/102412345678
915
9131515255/8131615131513AA87.6A94.18A
9 13131616326412825651210242048128117
99.59.5.1PCM3.153.965.006.386.806.42345676(quantized value)011100101110111110
93.153.965.006.386.806.42345676011100101110111110
3.153.965.006.386.806.42345676011100101110111110
9PCM
9
307.53c1 c2 c3IsIw1IwIw3Iw3c1c2c3807
9
c1c2c300001001201030114100510161107111
9 -0.5+7.5c1Iw=3.5Is < 3.5c1 = 0Is > 3.5c1 = 1c1c1c1 = 0Iw = 1.5c1 = 1Iw = 5.5Is < Iwc2 = 0Is > Iwc2 = 1c2c1 c2c1 c2 = 0 0Iw = 0.5c1 c2 = 1 0Iw = 4.5
99.5.2 4
151413121110981111111011011100101110101001100011111110110111001011101010011000765432100111011001010100001100100001000000000001001000110100010101100111
91607815
91100010000808871111101111578150158PCM
9138c1724(c2 c3 c4)384(c5 ~ c8)1616727 128
9
c2 c3 c481 1 11024~204871 1 0512~102461 0 1256~51251 0 0128~25640 1 164~12830 1 032~6420 0 116~3210 0 00~16
9
c5 c6 c7 c8151 1 1 1141 1 1 0141 1 0 1121 1 0 0111 0 1 1101 0 1 091 0 0 181 0 0 070 1 1 160 1 1 050 1 0 140 1 0 030 0 1 120 0 1 010 0 0 100 0 0 0
912x1/12816(1/128) (1/16) = 1/2048,(1/2048)18x1/2161/321/2048117 8000 Hz64 kb/s
99.5.3
138c1c8c1
9c17/11711
9-1+140961/20481+127013A8c1 c2 c3 c4 c5 c6 c7 c81) c1+1270c1 = 12) c2 c3 c4c2128Iw1281270c21c21c3512Iw512c31
9c2 c311c4Iw10241270c41c2 c3 c41118
93) c5 c6 c7 c8168c51078Iw = 1536Is = 1270c5=0c634Iw = 1280Is < Iwc60c7Iw = 1152Is > Iwc7=1c8Iw = 1216Is > Iwc8=1
98c1 c2 c3 c4 c5 c6 c7 c8 1111001183(1280-1216)/2 = 12481270 1248 = 2212481110011100000
9
c7Iwc8
9c81248c1
9 9.5.4 PCM PCMPe = 10-48P1 = 8Pe 8 10-42
P2
9N 20212N-1
9vi 2i-1 v0110+2i -1v -2i -1vQ
1/PeN1/NPeTs/NPe
9
Et[Q2] = (NPe)E[Q2]
fs 1/Ts
9G(f)
fH
fs = 2fH =1/Ts
9QeNq
9
(1/Ts2)
PCM
M2N
922(N+1)Pe > 1S / N 1/(4Pe) PCMNNfH2fHPCM2NfH b/sBNfH HzBNfHPCMB
99.6 DPCM9.6.1
91DPCM
ek = rk
mk*mkmk*mk
9
p ai mk prk = rkmk* mk*mk
99.6.2(DPCM)DPCMDPCM1
p = 1a1 = 1sk = sk-1*1TsDPCM
9
DPCM(ADPCM )
9DPCM DPCMqkmkmk*
ek(+, -)Mv
M = 4 vM
9
qk(- v/2, + v/2)qk(- v/2, + v/2)DPCMNfsfsN = log2Mqkf(qk)
9qk
0NfsPq(f)
fm
9DPCMek(+, -)T 1 / fs / T
A k
9Ak/TAmax
= (M 1)v / 2
99.7 9.7.1 (M)DPCMDPCM2DPCM
9
ek = mk mk + rk+ rk1+0-
9
mk* = mk*
9
m(t)m (t)e(t)e(t)TsT(t)+1-0
9
10
99.7.2
9Tsfs = 1 / Tsk fsfsfsfsPCMDPCM
9 -0 100/2/2
99.7.3 m (t)m (t)m(t)e(t)e(t)(-, +)e(t)f(e)
e(t)
90fsP(f)
fm
(fL / fs)
9A k AkAk,
Amax
Amaxfsk
9
fsfk
9DPCMDPCMM = 2, N = 1, DPCM
M
DPCMDPCMkb/sPCM(-)
99.8 9.8.1
98 kHz8000TsN Ts/N PAM
9
9PAM
9 TDM ITUTDM(PDH)(SDH)
9 9.8.2 (PDH)ITUE T
9
Mb/s64kb/sEE - 12.04830E - 28.448120E - 334.368480E - 4139.2641920E 5565.1487680TT 11.54424T - 26.31296T - 332.06448044.736672T 497.7281440274.1764032T5397.2005760560.1608064
9E
9E(E-1)30PCMPCM64 kb/s(overhead)32PCM2.048 Mb/sE-248.448 Mb/sE-334.368 Mb/sE-4139.264 Mb/s44
9E
911PCM8000 Hz125 s1(TS)13283230302TS0TS1630TS1TS15TS17TS31308TS0TS070011011TS07TS01*TS0(alarm)TS01*2103AA01481
9TS1630(CCS)(CAS)16TS16
9F0400004x1y01F1F15824500/2 kb/s
12345678F00000xyxXF1CH1CH16F2CH2CH17F3CH3CH18 F15CH15CH30
99.8.3 (SDH)SDHSDHSDH(STM)(SOH)125sSDH
9SDH
SDH444STM-1(AUG)(SOH) STM-NN AUGSOH
(Mb/s)STM-1 155.52STM-4 622.08STM-162488.32STM-649953.28
9PDHSDHPDHSTM-1155.52Mb/sPDH155.52Mb/s155.5263E-13E-31E-4STM-1TSDHPDH
9PDHSDH
9PDHC-n(n = 1 ~ 4)(VC-n)SDHITU125s500sVC-n (n=1, 2 ,3)VC-n (n=3, 4)C-n (n = 1, 2, 3)C-n (n = 3, 4)TUG-2TUG-3TU-n
9TU-n (n=1, 2, 3)VC-n(TUG)VC-nTUGTUG-2TU-1TU-2TUG-3TUG-2TU-3
9AU-n (n=3, 4)AU-3AU-4AU-4VC-4VC-4STM-NAU-3VC-3VC-3STM-NSTM-N(AUG)STMAUGAU-3AU-4
99.9