Coverage in Heterogeneous Coverage in Heterogeneous Networks
Xiaoli Chu
King’s College London
UC4G Beijing Workshop August 2010
Coverage in Heterogeneous Coverage in Heterogeneous Networks - - PowerPoint PPT Presentation
Coverage in Heterogeneous Coverage in Heterogeneous Networks Xiaoli Chu King s College London UC4G Beijing Workshop August 2010 Outline Introduction Heterogeneous networks Heterogeneous networks Challenges Coverage in
King’s College London
UC4G Beijing Workshop August 2010
▫ Heterogeneous networks Heterogeneous networks ▫ Challenges
▫ System model ▫ Outage probability analysis ▫ Maximum density of co-channel femtocell transmissions y ▫ Femtocell transmit power
A l ti l lt ifi d b i l ti ▫ Analytical results verified by simulations ▫ Low attenuation vs. high attenuation environments
UC4G Beijing Workshop August 2010
UC4G Beijing Workshop August 2010
▫ Radio link improvement alone cannot meet increasing demands ▫ Traffic demand and channel condition vary with time and location
▫ Need to increase cell density cost-effectively ▫ Network topology provides gains beyond radio technology p gy p g y gy
▫ Deploy macro-, pico-, femto-cells, and relays in the same spectrum I d it th h b tt ti l ▫ Improve coverage and capacity through better spatial reuse ▫ Address hot-spot needs and coverage holes ▫ Lower traffic load on macrocells
UC4G Beijing Workshop August 2010
indoor coverage, etc.
site acquisition, and add little or no backhaul expense.
Source: Intel Labs
UC4G Beijing Workshop August 2010
▫ Operator-deployed BSs use dedicated backhaul p p y ▫ Open to public access ▫ PTx ~ 43 dBm, G ~ 12-15 dBi
▫ Operator-deployed BSs use dedicated backhaul ▫ Open to public access ▫ PT ~ 23-30 dBm G ~ 0-5 dBi PTx 23 30 dBm, G 0 5 dBi
▫ User-deployed BSs use user’s broadband connection as backhaul ▫ Open access closed access or a hybrid access policy ▫ Open access, closed access, or a hybrid access policy ▫ PTx ≤ 23 dBm, G ~ 0-2 dBi
O t d l d BS th i li k t MBS b kh l ▫ Operator-deployed BSs use over-the-air link to MBS as backhaul ▫ PTx ~ 23-30 dBm, G ~ 0-5 dBi
UC4G Beijing Workshop August 2010
Wi d i l b kh l ith t d b t ff t Q S
Source: Qualcomm UC4G Beijing Workshop August 2010
▫ More cell-edges created ▫ Near-far effect ▫ Closed-access femtocells in co-channel deployments ▫ Relay stations may have different duplexing schedules
▫ Lack of coordination between cells ▫ Scalability, security and limited backhaul bandwidth
UC4G Beijing Workshop August 2010
li d t t t t d d bil d i t licensed spectrum to connect standard mobile devices to a mobile operator’s network using residential DSL or cable broadband connections [Source: Femto Forum].
UC4G Beijing Workshop August 2010
UC4G Beijing Workshop August 2010
UC4G Beijing Workshop August 2010
▫ A central MBS covers a disc area with radius rM Femtocells of radi s are randoml distrib ted on R2 as a ▫ Femtocells of radius rF are randomly distributed on R2 as a spatial Poisson point process (SPPP) with a density of λF. ▫ NF femtocells per cell site on average
F
p g ▫ UF indoor UEs per femtocell, each located on cell edge ▫ MBS transmit power is PM,Tx per RB ▫ FAP transmit power is PF,Tx per RB ▫ Each FAP transmits with a probability ρ within each RB. S ti l i t it f i lt l t itti h l ▫ Spatial intensity of simultaneously transmitting co-channel FAPs is uF = λFρ.
UC4G Beijing Workshop August 2010
shadowing
▫ MBS to outdoor UE
M M
M 3
M M M
10 PL
α α
φ D f D = =
▫ MBS to indoor UE
M c M M M
10 PL φ D f D
FM FM FM
FM 3 c
FM M FM FM FM
10 PL
α α α
ξ ξ φ φ D f D D = = =
▫ Home FAP to indoor UE ▫ FAP to outdoor UE
F F
F 7 . 3 F F F
10 PL
α α
φ D D = =
FAP to outdoor UE ▫ Interfering FAP to indoor UE
MF MF
MF F MF MF MF
PL
α α
ξ φ φ D D = =
2
▫ ξ denotes wall-penetration loss
FF FF
FF 2 F FF FF FF
PL
α α
ξ φ φ D D = =
UC4G Beijing Workshop August 2010
1
Φ ∈ − − − − − −
+ =
i i i i
D Q H P D Q H P r Q H P
FF FM F
FF FF FF 1 FF F FM FM FM 1 FM M F F F 1 F F F
SIR
α α α
φ φ φ
▫ PF = PF,TxGFAPGUE, PM = PM,TxGMBSGUE; ▫ DFM is the distance from the MBS to the FUE, DFFi is the distance f i t f i FAP t th FUE
i
from interfering FAP i to the FUE; ▫ αF, αFM and αFF are path loss exponents from the home FAP, the MBS and an interfering FAP to the FUE, respectively; g p y ▫ HF, HFM and HFFi are unit-mean exponential channel power gains; ▫ QF ~ LN(ζμF, ζ2σF
2), QFM ~ LN(ζμFM, ζ2σFM 2) and QFFi ~ LN(ζμFF, ζ2σFF 2)
denote lognormal shadowing ζ 0 1l 10 denote lognormal shadowing, ζ = 0.1ln10;
▫ Φ is the set of FAPs transmitting in the given RB, with intensity uF.
UC4G Beijing Workshop August 2010
− − − −
= D Q H P D Q H P
MF M
1 M M M 1 M M M
SIR
α α
φ φ
▫ DM is the distance from the MBS to the MUE, DMFi is the distance from FAP i to the MUE;
Φ ∈ i i i i
D Q H P
MF
MF MF MF MF Fφ
i to the MUE; ▫ αM and αMF are path loss exponents from the MBS and an FAP to the MUE; ▫ HM and HMFi denote unit-mean exponential channel power gains; ▫ QM ~ LN(ζμM, ζ2σM
2) and QMFi ~ LN(ζμMF, ζ2σMF 2) denote lognormal
shadowing.
UC4G Beijing Workshop August 2010
⎞ ⎛
( )
⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ < + = <
Φ − − F FF FF FF 1 FF F FM F F F
P SIR P
FF
γ φ γ
α
D Q H P I S
i i i i
⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ≥ < + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ < = ⎠ ⎝
Φ ∈ F FM F F F F FM F
, SIR P P γ γ γ I S I S
i
distance dFM from the MBS,
⎠ ⎝ ⎠ ⎝
FM FM
I I ⎞ ⎛
⎫ ⎧ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + − ≈ = < d P r P F d D
2 FM 2 F FM F FM FM F F F F M FM FM F F
~ ~ , ~ ~ ; SIR P
FM F
α α ϑ
σ σ μ μ φ γ φ γ
( )
( )
( )
− + + +
⎪ ⎭ ⎪ ⎬ ⎫ ⎪ ⎩ ⎪ ⎨ ⎧ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ − − −
N M b b b a m n
m m n
e e u v w
~ 2 ~ 2 F ~ ~ 2 2 F F
exp 1
FF FM FM F F
α μ σ μ σ χ
γ κ
( (
UC4G Beijing Workshop August 2010
( )
( )
= =
+
n m b m n
m
e b a
1 1
~ 2
χ
χ π
⎞ ⎛
⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ < = <
− − M MF MF MF 1 MF F M M M
MF
P SIR P γ φ γ
α i i i
D Q H P S
distance dM from the MBS ⎟ ⎠ ⎜ ⎝∑
Φ ∈ i
distance dM from the MBS,
⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − − − ≈ = <
M m m
b u v d D
1 MF M MF M F M M M M M
2 ~ 2 2 exp exp 1 SIR P α μ α σ κ π γ (
=
⎥ ⎦ ⎢ ⎣ ⎠ ⎝
m 1 MF MF
α α π
⎟ ⎟ ⎞ ⎜ ⎜ ⎛ + ⎟ ⎟ ⎞ ⎜ ⎜ ⎛
2 MF MF 2 M F
~ 2 ~ 2 exp
MF
σ μ γ π κ
α
P ⎟ ⎟ ⎠ ⎜ ⎜ ⎝ + ⎟ ⎟ ⎠ ⎜ ⎜ ⎝ =
2 MF MF MF MF MF M F M
exp α α φ π κ
UC4G Beijing Workshop August 2010
⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ < = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = <
FM FM F F F F M FM FM F F FM FM F FM F
P P
FM F
φ γ φ γ
α α
d P r P Q H Q H d D I S ϑ H Q /(H Q ) lognormal distribution ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + − ≈
2 FM 2 F FM F FM FM F F F F M
~ ~ , ~ ~ ;
FM F
σ σ μ μ φ γ φ
α α ϑ
d P r P F ▫ ϑ = HFQF/(HFMQFM) ~ lognormal distribution
FM
1 2 2 1
~ ~ ~ ~
α
φ
−
⎤ ⎡ ⎟ ⎞ ⎜ ⎛
FM F
F F F M 2 FM 2 F FM F F 1 FM F min FM,
~ ~ , ~ ~ ;
α α ϑ
γ φ σ σ μ μ ε φ
−
⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − ≈ r P F P d
with the macrocell.
⎦ ⎣
UC4G Beijing Workshop August 2010
t i i t di t d ( ) f th MBS f P(SIR transmissions at a distance dM (≤ rM) from the MBS for P(SIRM < γM|DM = dM) ≤ εM
M F M 1 SIR M F
, , d P F d u ε
− Δ
= ( (
M F M SIR M F
, ,
M
M M M M M M F F SIR
SIR P , ,
M
ε γ = = < = d D d P u F
from the MBS for P(SIRF < γF|DFM = dFM) ≤ εF
1
~ d P F d
− Δ
FM F F 1 SIR FM F
, ,
F
d P F d u ε =
F FM FM F F FM F F SIR
SIR P , ,
F
ε γ = = < = d D d P u F
F F F
UC4G Beijing Workshop August 2010
P(SIR |D d ) P(SIRM < γM|DM = dM) ≤ εM
M F M 1 SIR M F
, ,
M
d u F d P ε
− Δ
= (
s.t. P(SIRF < γF|DFM = dFM) ≤ εF At a distance d (d ≤ d ≤ ) from the MBS
FM F F 1 SIR FM F
, , ~
F
d u F d P ε
− Δ
=
▫ if , then ; ▫ otherwise, no femtocell coverage and have to reduce uF = λFρ.
d P d P
F F
~ ( ≤
d P d P d P
F F F
~ ( ≤ ≤
λFρ.
UC4G Beijing Workshop August 2010
UC4G Beijing Workshop August 2010
ξ 5 dB, 10 dB
= α PM,Tx 43 dBm
= 2 dBi
8 dB
30
10 dB
5 dB
UC4G Beijing Workshop August 2010
1 PM,Tx = 43dBm, PF,Tx = 23dBm, ξ = 10dB OPM, 300m, simulation 0.8 0.9 OPM, 300m, simulation OPM, 300m, formula OPF, 300m, simulation OPF, 300m, formula OPM, 600m, simulation 0.6 0.7 bability
M
OPM, 600m, formula OPF, 600m, simulation OPF, 600m, formula 0.4 0.5 Outage Proba 0.2 0.3 10 20 30 40 50 60 70 80 90 100 0.1 Number of Co−Channel Femto Transmissions per Cell Site
UC4G Beijing Workshop August 2010
Number of Co−Channel Femto Transmissions per Cell Site
500 PM,Tx = 43dBm, OPF ≤ 0.1 ξ = 5 dB, simulation 450 mtocell (m) ξ = 5 dB, simulation ξ = 5 dB, formula ξ = 10 dB, simulation ξ = 10 dB, formula 350 400 acro BS and Femto 300 ance between Mac 200 250 Minimum Distanc 13 14 15 16 17 18 19 20 21 22 23 150 200 FAP Transmit Power (dBm) M
UC4G Beijing Workshop August 2010
FAP Transmit Power (dBm)
10
3
PM,Tx = 43dBm, PF,Tx = 23dBm, OPM ≤ 0.1 ξ = 5dB, simulation er Cell Site ξ = 5dB, simulation ξ = 5dB, formula ξ = 10dB, simulation ξ = 10dB, formula 10
2
Transmissions per 10
1
Channel Femto Tr 10
1
Maximum Co−Ch 200 300 400 500 600 700 800 900 1000 10 Distance from Macro BS (m) M
UC4G Beijing Workshop August 2010
Distance from Macro BS (m)
50 PM,Tx = 43dBm, NF = 100, OPM ≤ 0.1 ξ = 5dB, ρ = 1, simulation 40 ) ξ = 5dB, ρ = 1, simulation ξ = 5dB, ρ = 1, formula ξ = 5dB, ρ = 0.1, simulation ξ = 5dB, ρ = 0.1, formula ξ = 10dB,ρ = 1, simulation ξ = 10dB, ρ = 1, formula 30 mit Power (dBm) ξ = 10dB,ρ = 0.1, simulation ξ = 10dB, ρ = 0.1, formula 23 dBm 10 20 imum FAP Transm 10 Maxim 200 300 400 500 600 700 800 900 1000 −10 Distance from Macro BS (m)
UC4G Beijing Workshop August 2010
Distance from Macro BS (m)
35 PM,Tx = 43dBm, NF = 100, OPF ≤ 0.1 ξ = 5dB, ρ = 1, simulation 25 30 ) ξ = 5dB, ρ = 1, simulation ξ = 5dB, ρ = 1, formula ξ = 5dB, ρ = 0.1, simulation ξ = 5dB, ρ = 0.1, formula ξ = 10dB, ρ=1, simulation ξ = 10dB, ρ=1, formula 23 dBm 15 20 mit Power (dBm) ξ = 10dB, ρ=0.1, simulation ξ = 10dB, ρ=0.1, formula 23 dBm 5 10 15 mum FAP Transm 5 Minimu 200 300 400 500 600 700 800 900 1000 −10 −5 Distance between Macro BS and Femtocell (m)
UC4G Beijing Workshop August 2010
Distance between Macro BS and Femtocell (m)
40 PM,Tx = 43dBm, NF = 100, ξ = 5dB max PF st OPM ≤ 0.1, ρ = 1 30 35 (dBm) max PF st OPM 0.1, ρ = 1 min PF st OPF ≤ 0.1, ρ = 1 max PF st OPM ≤ 0.1, ρ = 0.1 min PF st OPF ≤ 0.1, ρ = 0.1 max PF st OPM ≤ 0.1, ρ = 0.5 20 25 Transmit Power (d max PF st OPM 0.1, ρ = 0.5 10 15 /Minimum FAP Tra 5 Maximum/M 200 300 400 500 600 700 800 900 1000 −10 −5 Distance from Macro BS (m)
UC4G Beijing Workshop August 2010
Distance from Macro BS (m)
50 PM,Tx = 43dBm, NF = 100, ξ = 10dB max P st OP ≤ 0.1, ρ = 1 40 dBm) max PF st OPM ≤ 0.1, ρ = 1 min PF st OPF ≤ 0.1, ρ = 1 max PF st OPM ≤ 0.1, ρ = 0.1 min PF st OPF ≤ 0.1, ρ = 0.1 max PF st OPM ≤ 0.1, ρ = 0.5 30 ransmit Power (dB max PF st OPM ≤ 0.1, ρ = 0.5 10 20 /Minimum FAP Tra 10 Maximum/M 200 300 400 500 600 700 800 900 1000 −10 Distance from Macro BS (m)
UC4G Beijing Workshop August 2010
Distance from Macro BS (m)
▫ Analytical expressions for outage probabilities
▫ regulating femtocell transmit powers, which depend on the distance from the MBS; ▫ restricting the probability of each femtocell transmitting in each RB, which can be controlled in both frequency and time domains.
UC4G Beijing Workshop August 2010
▫ UEs associated to a cell with least path loss ▫ Allow more UEs to benefit from low-power BSs
C di t d lti i t t i i
UC4G Beijing Workshop August 2010
Xiaoli Chu E-mail: xiaoli.chu@kcl.ac.uk
UC4G Beijing Workshop August 2010