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Analysis and design of mimo heterogeneous cellular networks Khoshkholgh Dashtaki, Mohammad Ghadir 2018

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0 0.2 0.4 0.6 0.8 100.050.10.150.20.250.30.35P(X>1)100 10100.20.40.60.811.21.42Coverage Probabilitysim.upper−boundlower−bound1=10−4, Nr=81=10−4, Nr=41=10−3, Nr=8100 1010.20.40.60.811.21.41.61Coverage Probabilitysim.upper−boundlower−bound1=10−3, Nr=81=10−4, Nr=81=10−4, Nr=42 4 6 8 1000.10.20.30.40.50.60.70.8NrCoverage ProbabilitySingle Stream, =5Single Stream, =3.8Single Stream, =2.5Full MUX, =5Full MUX, =3.8Full MUX, =2.510−4 10−3 10−20.250.30.350.40.450.50.550.60.652Coverage Probabilityupper−bound, S1=4sim.  S1=4lower−bound, S1=4upper−bound, S1=2sim.  S1=2lower−bound, S1=210−4 10−3 10−20.20.30.40.50.60.71Coverage Probabilityupper−bound, S1=4sim.  S1=4lower−bound, S1=4upper−bound., S1=2sim. S1=2lower−bound, S1=210−4 10−3 10−20.10.20.30.40.50.60.70.82Coverage Probabilitymax−SINR, S1=4grid layout,  S1=4closest−BS, S1=4max−SINR S1=2grid layout,  S1=2closest−BS, S1=210−4 10−3 10−20.10.20.30.40.50.60.70.81Coverage Probabilitymax−SINR, S1=4grid layout,  S1=4closest−BS, S1=4max−SINR S1=2grid layout,  S1=2closest−BS, S1=210−10 10−500.10.20.30.40.50.60.72Coverage Probabilitysim.upper−boundlower−boundNo Noise No Noise (closed−from) 1=10−31=10−410−6 10−4 10−202468102S 1(a)1=10−61=10−41=10−31=5  10−210−6 10−4 10−202468102S 2(b)1=10−61=10−41=10−31=5  10−22 4 6 8 10 12 14 1610−810−610−410−2100102S11(a)S2=1S2=3S2=5S2=152 4 6 8 10 12 14 1610−810−610−410−2100102S12(b)S2=1S2=3S2=5S2=152 4 6 8 10 12 14 16123456S11(a)S2=1S2=3S2=5S2=152 4 6 8 10 12 14 16024681012S12(b)S2=1S2=3S2=5S2=1551015 51015200.020.0250.030.0350.04B2B1ZF (bps/Hz/m2 )1=10−4, 2=10−21=10−2, 2=10−25 1015 2051015200.0150.020.0250.030.0350.04B1B2ZF (bps/Hz/m2 )1=10−4, 2=10−21=10−2, 2=10−200.0050.0100.0050.0100.20.40.60.82S1=S2=6, =4, 1=0.11correlation coefficient00.0050.0100.0050.0100.20.40.60.82S1=S2=6, =4, 1=0.11correlation coefficient246824680.0550.060.0650.070.075S21=10−4, 2=10−3, =4, 1=0.1S1correlation coefficient00.51234560.040.060.080.10.120.141S1=S2=6, 1=10−4, 2=10−3correlation coefficient2 4 6 8 10 12 14 16246810121416S1S 21=5, 2=2, 1= 2=0.11=5, 2=10, 1= 2=0.251=5, 2=10, 1= 2=0.12 4 6 8 10 12 14 16246810121416S1S 21=5, 2=2, 1= 2=0.11=5, 2=10, 1= 2=0.251=5, 2=10, 1= 2=0.11 2 3 4 5 610−210−1100cMRC/cZFS(a): =5, =4Nr=6Nr=10Nr=20Nr=402 4 6 8 10 12 1410−210−1100cMRC /cZF(b): S=4, Nr=10=2.5=5=6.52 4 6 8 10 12 14 1611.522.5Nr* (1,2)(a)2=02=.052=0.12 4 6 8 10 12 14 1624681012141618(b)NrS 1+S22=02=.052=0.110−6 10−4 10−202468102S 1(a)1=10−61=10−41=10−31=5  10−210−6 10−4 10−202468102S 2(b)1=10−61=10−41=10−31=5  10−210−6 10−5 10−4 10−3 10−2 10−10123456789102S 1(a)1=10−61=10−41=10−31=5  10−210−6 10−5 10−4 10−3 10−2 10−10123456789102S 2(b)1=10−61=10−41=10−31=5  10−20 0.2 0.4 0.6 0.800.10.20.30.40.50.60.70.8Coverage Probability sim. =2.5upper−bound =2.5FC =2.5NC =2.5sim. =4upper−bound =4FC =4NC =4sim. =6upper−bound =6FC =6NC =6ZFBF100 10101234562Coverage Probabilityupper−bound, S1=3,S2=2Sim. S1=3,S2=2FC S1=3,S2=2NC S1=3,S2=2upper−bound, S1=6,S2=2Sim. S1=6,S2=2FC S1=6,S2=2NC S1=6,S2=210−6 10−5 10−4 10−3 10−200.10.20.30.40.50.60.70.80.911sim. S1=4,S2=1upper−bound, S1=4,S2=1FC S1=4,S2=1NC S1=4,S2=1sim. S1=4,S2=2upper−bound, S1=4,S2=2FC S1=4,S2=2NC S1=4,S2=2single−streamZFBF (S1=4,S2=2)ZFBF (S1=4,S2=1)10−6 10−5 10−4 10−3 10−200.10.20.30.40.50.60.70.80.911Coverage Probabilitysim. S1=4,S2=1upper−bound, S1=4,S2=1FC S1=4,S2=1NC S1=4,S2=1sim. S1=4,S2=2upper−bound, S1=4,S2=2FC S1=4,S2=2NC S1=4,S2=2single−stremZFBF(S1=4, S2=2)ZFBF(S1=4, S2=1)10−6 10−5 10−4 10−3 10−200.10.20.30.40.50.60.70.80.911sim. S1=1,S2=2upper−bound, S1=1,S2=2FC S1=1,S2=2NC S1=1,S2=2sim. S1=8,S2=2upper−bound, S1=8,S2=2FC S1=8,S2=2NC S1=8,S2=2single−streamZFBF(S1=8,S2=2)ZFBF(S1=1,S2=2)10−6 10−5 10−4 10−3 10−200.10.20.30.40.50.60.70.80.911sim. S1=1,S2=2upper−bound, S1=1,S2=2FC S1=1,S2=2NC S1=1,S2=2sim. S1=8,S2=2upper−bound, S1=8,S2=2FC S1=8,S2=2NC S1=8,S2=2single−strem ZFBF(S1=8,S2=2)ZFBF(S1=1,S2=2)510152023456−0.200.20.40.6Nrcorrelation coefficient100 1010.10.20.30.40.50.60.70.80.911Coverage probabilitysim.analysisgrid modelNr=4Nr=2100 1010.10.20.30.40.50.60.70.80.912Coverage probabilitysim.analysisgrid modelNr=2Nr=410−5 10−4 10−3 10−20.20.250.30.350.40.450.51Coverage probability(a)sim. Nr=4analysis Nr=4sim. Nr=2analysis Nr=210−5 10−4 10−3 10−20.20.250.30.350.40.450.52Coverage probability(b)sim. Nr=4analysis Nr=4sim. Nr=2analysis Nr=21 2 3 4 5 6 7 800.20.40.60.811.21.4NrCoverage ProbabilitySVD sim. Nt2=8, P2=1SVD analysis Nt2=8, P2=1SVD sim. Nt2=16, P2=1SVD analysis Nt2=16, P2=1SVD sim. Nt2=8, P2=NrSVD analysis Nt2=8,P2=NrMRC (all scenarios)ZFBF (all scenarios)10 20 30 40 50 6000.20.40.60.811.21.4Nt1Coverage ProbabilityAnalysis (solid line); Simulation (dashed line)SVDscenario 4MRC scenarios1,2,3,4SVDscenario 3SVDscenario 1SVDscenario 2 ZFBF scenarios1,2,3,42 4 6 8 10 12 14 1600.10.20.30.40.50.60.70.80.91Nt2Coverage ProbabilityAnalysis (solid line); Simulation (dashed line)SVD scenario4SVD scenario1SVD scenario3SVD scenario2MRC scenarios1,2,3,4ZFBF scenarios1,2,3,4

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