q2 BMp2biB;i2 i?2 /QrMHBMF Qmi;2 Q7 i?2 P6.J 72KiQ+2HHb #v MHvbBb BM a2+iBQMb 8Xj M/ 8X9X q2 +QMbB/2` i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM M/ i?2 b?`2/
bT2+i`mK HHQ+iBQM b+?2K2b 7Q` i?2 72KiQ+2HHb M/ K+`Q+2HHX h?2 ;BM@Q`B2Mi2/
/Bbi`B#mi2/ +?MM2H b2H2+iBQM b+?2K2 M/ `M/QK b2H2+iBQM b+?2K2 `2 +QMbB/2`2/X q2 bbmK2 i?2 72KiQ+2HH HvQmi b b?QrM BM 6B;X jXRX h?2`2 `2 k9 72KiQ+2HHb `QmM/
i?2 +QMbB/2`2/ 72KiQ+2HH- M/ i?2 ;`QmT Q7 k8 72KiQ+2HHb Bb mMB7Q`KHv /Bbi`B#mi2/
BM K+`Q+2HH rBi? i?2 +Qp2`;2 Q7 8yy K2i2`bX h?2 b2T`iBQM /BbiM+2b #2ir22M 72KiQ+2HHb `2 dsf = 20 K2i2`bX h?2 HBMF `2HB#BHBiv `2[mB`2K2Mi Bb H`;2` i?M NyWX h?2 MQKBMH bvbi2K T`K2i2`b `2 HBbi2/ BM h#H2 9XRX
8X8XR Pmi;2 S`Q##BHBiv BM 1t+HmbBp2 aT2+i`mK HHQ+iBQM
6m;m`2 8Xk b?Qrb i?2 Qmi;2 T`Q##BHBiv Q7 /Bz2`2Mi +?MM2Hb rBi? /Bz2`2Mi
?B;?2bi HBMF ;BM ;BMbi i?2 72KiQ+2HH bm#@+?MM2H mb;2 `iBQ ρ rBi? i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM- r?2`2 dsf = 20 K2i2`bX h?Bb };m`2 b?Qrb i?2 72KiQ+2HH@iQ@
72KiQ+2HH BMi2`72`2M+2 BM i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM bB;MB}+MiHv BKT+ib QM i?2 Qmi;2 T`Q##BHBivX b i?2 bm#+?MM2H mb;2 `iBQ BM+`2b2b- i?2 Qmi;2 T`Q#@
ey
#BHBiv BM+`2b2b /m2 iQ i?2 BM+`2bBM; BMi2`72`2M+2 7`QK Qi?2` 72KiQ+2HHbX AM i?Bb };m`2- i?2 bm#+?MM2H rBi? ?B;?2` HBMF ;BM +M +?B2p2 HQr2` Qmi;2 T`Q##BHBivX A7 i?2 bm#+?MM2H rBi? i?2 HBMF ;BM Bb ?B;?2` i?M i?2 R8@i? ?B;?2` bm#+?MM2H- i?Qb2 bm#+?MM2Hb +M 2Mbm`2 i?2 HBMF `2HB#BHBiv `2[mB`2K2Mi H`;2` i?M NyW r?BH2 Qi?2`
72KiQ+2HH mbBM; HH i?2 bm#+?MM2HbX *QKT`2 iQ i?2 `M/QK b2H2+iBQM b+?2K2- ;BM@
Q`B2Mi2/ b2H2+iBQM b+?2K2 +M ;m`Mi22 i H2bi k8 bm+?MM2Hb T2`7Q`K #2ii2` i?M
`M/QKHv b2H2+iBQMX
6m;m`2 8Xj b?Qrb i?2 Qmi;2 T`Q##BHBiv ;BMbi i?2 /i bm#@+?MM2H mb;2
`iBQ ρ rBi? i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM- r?2`2 dsf = 20 K2i2`bX q2 +QMbB/2`
i?2 irQ +?MM2H b2H2+iBQM b+?2K2b, ;BM@Q`B2Mi2/ M/ `M/QK b2H2+iBQM b+?2K2bX h?2 72KiQ+2HH@iQ@72KiQ+2HH BMi2`72`2M+2 BM i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM bB;MB}+MiHv BKT+ib i?2 HBMF `2HB#BHBiv T`Q##BHBivX b i?2 +?MM2H mb;2 `iBQ BM+`2b2b- i?2 Qmi@
;2 T`Q##BHBiv BM+`2b2b /m2 iQ i?2 BM+`2bBM; BMi2`72`2M+2 7`QK Qi?2` 72KiQ+2HHbX AM i?Bb };m`2- i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 ?b #2ii2` T2`7Q`KM+2 i?M `M/QK b2H2+iBQM b+?2K2X A7 r2 `2[m2bi i?2 Qmi;2 T`Q##BHBiv `2[mB`2K2Mi ?b iQ H`;2` i?M NyW- i?2 `M/QK b2H2+iBQM b+?2K2 +M mb2 QMHv +?MM2H mb;2 `iBQ ρ = 0.4 7Q` i`Mb@
KBbbBQM M/ i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 +M i`MbKBbbBQM rBi? +?MM2H mb;2
`iBQ ρ = 0.8X h?i K2Mb r2 +M mb2 100W KQ`2 bm#+?MM2Hb 7Q` +QKKmMB+iBQMb B7 r2 mb2 i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2X
8X8Xk Pmi;2 S`Q##BHBiv BM a?`2/ aT2+i`mK HHQ+iBQM
6m;m`2 8X9 b?Qrb i?2 Qmi;2 T`Q##BHBiv Q7 /Bz2`2Mi +?MM2Hb rBi? /Bz2`2Mi
?B;?2bi HBMF ;BM ;BMbi i?2 72KiQ+2HH bm#@+?MM2H mb;2 `iBQ ρ rBi? i?2 b?`2/
bT2+i`mK HHQ+iBQM- r?2`2 dsf = 20 K2i2`bX h?2 irQ@iB2` BMi2`72`2M+2 Bb +QMbB/2`2/X
*QKT`BM; 6B;X 8Xk- Bi Bb b?QrM i?i i?2 BMi2`72`2M+2 7`QK K+`Q+2HH bB;MB}+MiHv 2z2+ib QM i?2 HBMF `2HB#BHBiv- M/ i?2 Qmi;2 T`Q##BHBiv BM+`2b2bX 6Q` 2tKTH2- BM
eR
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Data Subchannel Usage Ratio
Outage Probability
random selection 1−st channel gain 5−th channel gain 15−th channel gain 25−th channel gain 35−th channel gain
6B;m`2 8Xk, Pmi;2 T`Q##BHBiv rBi? 2t+HmbBp2 bT2+i`mK HHQ+iBQM b+?2K2 BM /Bz2`2Mi
?B;?2bi +?MM2H ;BMX
ek
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0
0.05 0.1 0.15 0.2 0.25
Data Sub−channel Usage Ratio
Outage Probability
Anylysis value with random selection scheme Anylysis value with MAX channel gain selection scheme Simulation with random selection scheme
Simulation with MAX channel gain selection scheme
Outage
6B;m`2 8Xj, Pmi;2 T`Q##BHBiv rBi? 2t+HmbBp2 bT2+i`mK HHQ+iBQM b+?2K2 BM `M/QK
M/ +?MM2H@;BM Q`B2Mi2/ b2H2+iBQM b+?2K2bX
ej
6B;X 8Xk- r?2M r2 `2[m2bi i?2 HBMF `2HB#BHBiv `2[mB`2K2Mi ?b iQ H`;2` i?M NyW- i?2 8yW bm#+?MM2Hb +M #2 mb2/X >Qr2p2`- QMHv jyW +?MM2H mb;2 `iBQ +M #2 mb2/
r?2M r2 HHQ+i2 i?2 K+`Q+2HH M/ 72KiQ+2HHb BM i?2 bK2 bT2+i`mKX
6m;m`2 8X8 b?Qrb i?2 Qmi;2 T`Q##BHBiv ;BMbi i?2 /i bm#@+?MM2H mb;2
`iBQ ρ rBi? i?2 b?`2/ bT2+i`mK HHQ+iBQM- r?2`2 dsf = 20 K2i2`bX q2 +QMbB/2`
i?2 ;BM@Q`B2Mi2/ M/ `M/QK b2H2+iBQM b+?2K2bX *QKT`2/ iQ 6B;X 8Xj- Bi Bb b?QrM i?i i?2 irQ@iB2` BMi2`72`2M+2 bB;MB}+MiHv BKT+ib i?2 HBMF `2HB#BHBiv T`Q##BHBivX _M/QK b2H2+iBQM b+?2K2 +M mb2 9yW +?MM2H mb;2 `iBQ 7Q` +QKKmMB+iBQM M/
;m`Mi22 i?2 HBMF `2HB#BHBiv BM i?2 2t+HmbBp2 bT2+i`mK HHQ+iBQM b+?2K2- #mi QMHv jyW +M mb2 BM i?2 b?`2/ bT2+i`mK HHQ+iBQM b+?2K2X h?i K2Mb 72KiQ+2HH mb2 k8W HQr2` bm#+?MM2Hb #2+mb2 i?2 2ti` BMi2`72`2M+2 7`QK i?2 K+`Q+2HHX AM //BiBQM-i?Bb };m`2 BHHmbi`i2b i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 ?b #2ii2` T2`7Q`KM+2 i?M
`M/QK b2H2+iBQM b+?2K2X A7 r2 `2[m2bi i?2 Qmi;2 T`Q##BHBiv `2[mB`2K2Mi ?b iQ H`;2` i?M NyW- i?2 `M/QK b2H2+iBQM b+?2K2 +M mb2 QMHv +?MM2H mb;2 `iBQ ρ = 0.3 7Q` i`MbKBbbBQM M/ i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 +M i`MbKBbbBQM rBi?
+?MM2H mb;2 `iBQ ρ = 0.7X h?i K2Mb r2 +M mb2 RjjW KQ`2 bm#+?MM2Hb 7Q`
+QKKmMB+iBQM B7 r2 mb2 i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2X
8X8Xj AKT+i Q7 J+`Q+2HH _/Bmb M/ 62KiQ+2HH *?MM2H lb@
;2 _iBQ
AM i?Bb bm#b2+iBQM- r2 `2 BMi2`2bi BM i?2 `2HiBQMb?BT #2ir22M i?2 K+`Q+2HH M/
i?2 72KiQ+2HHX AM Qi?2` rQ`/b- r2 i`v iQ FMQr i?2 `2HiBQMb?BT #2ir22M i?2 72KiQ+2HH +?MM2H mb;2 `iBQ M/ i?2 K+`Q+2HH `/Bmb /BbiM+2 DMX >Qr KMv bm#+?MM2Hb +M #2 mb2/ r?BH2 r2 FMQr i?2 BM7Q`KiBQM Q7 i?2 K+`Q+2HH `/BmbX 6`QK i?2 MHvbBb
M/ i?2 bBKmHiBQM `2bmHib- i?2 H`;2` `/Bmb Q7 K+`Q+2HH- i?2 ?B;?2` +?MM2H mb;2
`iBQ +M #2 mb2/ #v 72KiQ+2HHbX
e9
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Data Subchannel Usage Ratio
Outage Probability
randon selection 1−st channel gain 5−th channel gain 15−th channel gain 25−th channel gain 35−th channel gain
6B;m`2 8X9, Pmi;2 T`Q##BHBiv rBi? b?`2/ bT2+i`mK HHQ+iBQM b+?2K2 BM /Bz2`2Mi
?B;?2bi +?MM2H ;BMX
e8
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0
0.05 0.1 0.15 0.2 0.25
Data Sub−channel Usage Ratio
Outage Probability
Anylysis value with random selection scheme Anylysis value with MAX channel gain selection scheme Simulation with random selection scheme
Simulation with MAX channel gain selection scheme
Outage
6B;m`2 8X8, Pmi;2 T`Q##BHBiv rBi? b?`2/ bT2+i`mK HHQ+iBQM b+?2K2 BM `M/QK
M/ ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2bX
ee
q2 BMp2biB;i2 i?2 /QrMHBMF Qmi;2 Q7 i?2 P6.J 72KiQ+2HHb #v MHvbBb BM a2+iBQMb 8Xj M/ 8X9X q2 +QMbB/2` i?2 b?`2/ bT2+i`mK HHQ+iBQM b+?2K2b 7Q` i?2 72KiQ+2HHb M/ K+`Q+2HHX h?2 ;BM@Q`B2Mi2/ /Bbi`B#mi2/ +?MM2H b2H2+iBQM b+?2K2
M/ `M/QK b2H2+iBQM b+?2K2 `2 +QMbB/2`2/X q2 bbmK2 i?i i?2 72KiQ+2HH HvQmi
b b?QrM BM 6B;X jXRX h?2`2 `2 k9 72KiQ+2HHb `QmM/ i?2 +QMbB/2`2/ 72KiQ+2HH- M/
i?2 ;`QmT Q7 k8 72KiQ+2HHb Bb mMB7Q`KHv /Bbi`B#mi2/ BM K+`Q+2HH rBi? i?2 +Qp2`;2 DMX h?2 b2T`iBQM /BbiM+2b #2ir22M 72KiQ+2HHb `2 dsf = 20 K2i2`bX h?2 HBMF
`2HB#BHBiv `2[mB`2K2Mi Bb H`;2` i?M NyWX h?2 MQKBMH bvbi2K T`K2i2`b `2 HBbi2/
BM h#H2 9XRX
6m;m`2 8Xe b?Qrb i?2 Qmi;2 T`Q##BHBiv Q7 /Bz2`2Mi +?MM2H mb;2 `iBQ ρ
;BMbi i?2 K+`Q+2HH `/Bmb rBi? i?2 b?`2/ bT2+i`mK HHQ+iBQM- r?2`2 dsf = 20 K2@
i2`bX q2 +QMbB/2` i?2 BMi2`72`2M+2 7`QK K+`Q+2HH M/ 72KiQ+2HHbX h?2 ;BM@Q`B2Mi2/
M/ `M/QK b2H2+iBQM b+?2K2b `2 +QMbB/2`2/X Ai Bb b?QrM i?i i?2 irQ@iB2` BMi2`72`@
2M+2 bB;MB}+MiHv BKT+ib i?2 HBMF `2HB#BHBiv T`Q##BHBivX b i?2 K+`Q+2HH `/Bmb DM BM+`2b2b- i?2 Qmi;2 T`Q##BHBiv /2+`2b2b #2+mb2 i?2 BMi2`72`2M+2 7`QK i?2 K+`Q@
+2HH /2+`2b2X AM i?Bb };m`2- i?2 HQr2` +?MM2H mb;2 `iBQ ρ +M +?B2p2 HQr2` Qmi;2 T`Q##BHBiv M/ BMi2`72`2/ 7`QK i?2 Qi?2`b 72KiQ+2HHb rBi? HQr2` T`Q##BHBivX q?2M r2 +QKT`2 i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 rBi? `M/QK b2H2+iBQM b+?2K2- i?2 ;BM@
Q`B2Mi2/ b2H2+iBQM b+?2K2 +M +?B2p2 HQr2` Qmi;2 T`Q##BHBiv i?M `M/QK b2H2+iBQM b+?2K2 r?2M r2 mb2 i?2 bK2 +?MM2H mb;2 `iBQX 6Q` 2tKTH2- b DM = 1000 K2@
i2`b M/ i?2 +?MM2H mb;2 `iBQ Bb 8yW- i?2 Qmi;2 T`Q##BHBiv Bb RyW #v i?2 `M/QK b2H2+iBQM b+?2K2- M/ 9W #v ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2X
h#H2 8XR b?Qrb i?2 `2HiBQMb?BT #2ir22M K+`Q+2HH `/Bmb DM M/ +?MM2H mb;2 `iBQ ρ Q7 72KiQ+2HHX AM i?Bb i#H2- r2 FMQr i?i i?2 H`;2` i?2 K+`Q+2HH `/Bmb-i?2 ?B;?2` `/Bmb-i?2 +?MM2H mb;2 `iBQ mb2/X h?2 i#H2 HbQ b?Qrb i?i `/Bmb-i?2 ;BM@Q`B2Mi2/
b2H2+iBQM b+?2K2 +M mb2/ KQ`2 +?MM2H mb;2 `iBQ ρ i?M `M/QKHv b2H2+i2/ mM/2`
i?2 bK2 K+`Q+2HH `/Bmb DMX A7 i?2 K+`Q+2HH `/Bmb DM Bb b?Q`i2` i?M k8y
K2i2`b-ed
100 200 300 400 500 600 700 800 900 1000 0
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Macrocell radius
Outage Probability
random, ratio=0.2 max gain, ratio=0.2 random, ratio=0.5 max gain, ratio=0.5 random, ratio=0.8 max gain, ratio=0.8 random, ratio=1 max gain, ratio=1
6B;m`2 8Xe, Pmi;2 T`Q##BHBiv BM /Bz2`2Mi K+`Q+2HH `/BmbX
e3
i?2 `M/QK b2H2+iBQM b+?2K2 KF2b i?2 72KiQ+2HHb Bb Qmi;2 2p2M 72KiQ+2HHb mb2 QMHv i?2 +?MM2H mb;2 `iBQ ρ = 0.1X AM i?2 bK2 +QM/BiBQM Q7 K+`Q+2HH `/Bmb DM = 250 K2i2`b- 72KiQ+2HHb +M i`MbKBbbBQM rBi? +?MM2H mb;2 `iBQ ρ = 0.5 B7 72KiQ+2HHb mb2 i?2 ;BM@Q`B2Mi2/ b+?2K2X AM //BiBQM- i?2 +?MM2H mb;2 `iBQ rBHH #2 HBKBi2/ #v i?2 BMi2`72`2M+2 7`QK i?2 Qi?2`b 72KiQ+2HHbX 1p2M r2 B;MQ`2 i?2 K+`Q+2HH BMi2`72`2M+2-i?2 7K2iQ+2HH biBHH +MMQi mb2 HH BMi2`72`2M+2-i?2 #M/rB/i? 7Q` i`MbKBbbBQMX
h#H2 8Xk b?Qrb i?i i?2 `2HiBQMb?BT #2ir22M +?MM2H mb;2 `iBQ ρ M/ K+`Q@
+2HH `/Bmb DMX h?2 i#H2 b?Qrb i?i i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2 Bb #2ii2` 7Q`
72KiQ+2HH BM i?2 bK2 K+`Q+2HH `/Bmb mM/2` i?2 bK2 +?MM2H mb;2 `iBQ ρ i?i 72KiQ+2HH Bb mb2/X A7 r2 `2[m2bi i?2 +?MM2H mb;2 `iBQ ρ = 0.4- i?2 K+`Q+2HH `/Bmb DM ?b iQ #2 HQM;2` i?M e9dXjN K2i2`b B7 i?2 72KiQ+2HH mb2 i?2 `M/QK b2H2+iBQM b+?2K2- M/ B7 i?2 72KiQ+2HH mb2 i?2 ;BM@Q`B2Mi2/ b2H2+iBQM b+?2K2- i?2 K+`Q+2HH
`/Bmb DM ?b iQ #2 HQM;2` i?M RdyXR8 K2i2`bX
eN
h#H2 8XR, J+`Q+2HH `/Bmb p2`bmb +?MM2H mb;2 `iBQ rBi? /Bz2`2Mi b2H2+@
iBQM K2i?Q/X
J+`Q+2HH *?MM2H lb;2 _iBQ *?MM2H lb;2 _iBQ rBi?
_/Bmb rBi? _M/QK JtBKH *?MM2H :BM UDMV a2H2+BQM U_iBQ ρV a2H2+BQM U_iBQ ρV
Ryy t t
R8y t yXj
kyy t yX8
k8y yXR yXe
jyy yXR yXe
9yy yXk yXd
8yy yXj yXd
d8y yX9 yXd
Ryyy yX9 yX3
∞ yX9 yX3
dy
h#H2 8Xk, *?MM2H mb;2 `iBQ p2`bmb K+`Q+2HH `/Bmb rBi? /Bz2`2Mi b2H2+@
iBQM K2i?Q/X
*?MM2H _M/QK a2H2+BQM JtBKH *?MM2H :BM lb;2 _iBQ QM J+`Q+2HH a2H2+BQM QM J+`Q+2HH
UρV _/Bmb UDMV _/Bmb UDMV
yXR k99X99 Rk8Xyk
yXk kN8X3e Rj3XkR
yXj j3dXjy R9NXke
yX9 e9dXjN RdyXR8
yX8 t RNeXd9
yXe t kjNXed
yXd t j9NXj8
yX3 t N9NXNe
yXN t t
R t t
dR
dk
*>Sh1_ e
MHvbBb Q7 .Bbi`B#mi2/ *?MM2H a2H2+iBQM 7Q` 62KiQ+2HH rBi? hrQ@iB2` AMi2`72`2M+2,
JmHiB+``B2` *b2
AM i?Bb +?Ti2`- r2 MHvx2 i?2 Qmi;2 Q7 72KiQ+2HH rBi? irQ@iB2` BMi2`72`2M+2 BM KmHiB+``B2` +b2X "Qi? ;BM@Q`B2Mi2/ M/ `M/QK b2H2+iBQM b+?2K2 `2 /Bb+mbb2/X JQ`2Qp2`- r2 BMp2biB;i2 i?2 `2HiBQMb?BT #2ir22M +?MM2H mb;2 `iBQ M/ K+`Q+2HH
`/Bmb BM i?2 2t+HmbBp2 M/ b?`2/ bT2+i`mK HHQ+iBQM b+?2K2bX