N= dimension of modulation 8 APSK, PAM -- N=1; r= QAM ...
Transcript of N= dimension of modulation 8 APSK, PAM -- N=1; r= QAM ...
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N= dimension of modulation(number of orthonormal function)
In general r=R/B = 2ππππππ2(ππ)/ππ
APSK, PAM -- N=1; r=2ππππππ2(ππ)
QAM, MPSK -- N=2; r=ππππππ2(ππ)
FSK (coherent) ; r=2ππππππ2(ππ)/ππ
FSK (noncoherent) ; r=ππππππ2(ππ)/ππ
MFSK noncoherent orthogonal
R/B = ππππππ2(ππ)/ππ
MPSK, QAM coherent
R/B = ππππππ2(ππ)
MFSK noncoherent orthogonal
R/B = ππππππ2(ππ)/ππ
MPSK, QAM coherent
R/B = ππππππ2(ππ)
MFSK noncoherent orthogonal
R/B = ππππππ2(ππ)/ππ
MPSK, QAM coherent
R/B = ππππππ2(ππ)
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ππππππ = ππ 2πΈπΈππππ0
Example 1:2 β PSK, PAM binary antipodal
Example 2:2 β PSK, PAM binary antipodal
ππππππ = ππ 2πΈπΈππππ0
10β5 = ππ 4,2649Eb/N0 = (4,2649)^2/2Eb/N0 = 10log(Eb/N0)=9,5 dB
10β6 = ππ 4,7534Eb/N0 = (4,7534)^2/2Eb/N0 = 10log(Eb/N0)=10,5 dB
Krivka pre modulaciu sa pre lepsie π·π·ππππ posuva doprava (potvrdenie teorie)!!!
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0 5 10 15 20 25
4-QAM
16-QAM
8-QAM
32-QAM
64-QAM
256-QAMBER 10-4
BER 10-6
BPSK
QPSK
8-PSK
32-PSK
16-PSK
BER 10-4BER 10-6
BFSKQFSK8FSK16FSK
BER 10-4
BER 10-6
Eb/No [dB]
R/B
[bit/
s/Hz
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BANDWIDTH-EFFICIENCY PLANE
Shannon limit-1,6 dB
Capacity bounderyR=C
coherent
noncoherent
M / T ππππππ2(ππ)/ππFSKnoncoherent
For M-ary FSK, the frequency separation between adjacent frequencies is βf = 1/πππ π for signal orthogonality.
The bandwidth required for M signals is B = M βf = M/πππ π .
(a)(b)
(c)(d)
(e)50dB
(a) Half-power bandwidth. This is the interval between frequencies at which Gx(f ) has dropped to half-power, or 3 dB below the peak value. (c) Null-to-null bandwidth. The most popular measure of bandwidth for digital communications isthe width of the main spectral lobe, where most of the signal power is contained.
a) Half-power bandwidthb) Noise equivalent bandwidthc) Null-to-null bandwidth
d) Fractional power containment bandwidthe) Bounded power spectral densityf) Absolute bandwidth