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A.17.20.1 Description of the model

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Scenario

LOS/NLOS

Path Loss [dB]

Shadow fading std [dB]

Applicability ranges and default values [m]

Urban Macro (UMa)

LOS

PLUMa-LOS= PL1, 10 m≤d≤dBP'PL2, dBP'≤d≤5 km , (see Note 1)

σSF=4

hMS=1.5
hBS=25

PL1=28.0+22log10d+20log10fc

PL2=7.8+40log10d-18.0log10hBS'-18.0log10hMS'+2.0log10fc

NLOS

PLUMa-NLOS=161.04-7.1log10W+7.5log10h-24.37-3.7hhBS2log10hBS+(43.42-3.1log10hBS))log10d-3+20log10 fc-(3.2log1011.75hMS2-4.97)

σSF=6

hBS=25
hMS=1.5
W=20
h=20
10≤d≤5000
10≤hBS≤150
1≤hMS≤10
5≤W≤50
5≤h≤50

Suburban Macro (SMa)

LOS

PLSMa-LOS= PL1, 10 m≤d≤dBP'PL2, dBP'≤d≤5 km , (see Note 2)

hBS=35
hMS=1.5
W=20
h=10
10≤hBS≤150
1≤hMS≤10
5≤W≤50
5≤h≤50

(Note 2)

PL1=20log10(40πd3Dfc/3)+min0.03h1.72, 10log10d- min0.044h1.72, 14.77+0.002dlog10h

σSF=4

PL2=PL1dBP+40log10ddBP

σSF=6

NLOS

PLSMa-NLOS=161.04-7.1log10W+7.5log10h-24.37-3.7hhBS2log10hBS+(43.42-3.1log10hBS)(log10d-3)+20log10fc-(3.2log1011.75hMS2-4.97)

σSF=8

Rural Maro (RMa)

LOS

PLRMa-LOS= PL1, 10 m≤d≤dBP'PL2, dBP'≤d≤10 km , (see Note 2)

hBS=35
hMS=1.5
W=20
h=5

10≤hBS≤150
1≤hMS≤10
5≤W≤50
5≤h≤50

PL1=20log10(40πdfc/3)+min0.03h1.72, 10log10d- min0.044h1.72, 14.77+0.002dlog10h

σSF=4

PL2=PL1dBP+40log10ddBP

σSF=6

NLOS

PLRMa-NLOS=161.04-7.1log10W+7.5log10h-24.37-3.7hhBS2log10hBS+(43.42-3.1log10hBS)(log10d-3)+20log10fc-(3.2log1011.75hMS2-4.97)

Mathblock

PL_{RMa-NLOS}=161.04-7.1\log_{10}{W+7.5\log_{10}{h}}-\left(24.37-3.7\left(\frac{h}{h_{BS}}\right)^2\right)\log_{10}{h_{BS}}+(43.42-3.1\log_{10}{h_{BS})(\log_{10}{d-3)}}+20\log_{10}f_c-(3.2\left(\log_{10}\left(11.75h_{MS}\right)\right)^2-4.97)

for 10≤d≤5 km

σSF=8

Note 1:
Breakpoint distance dBP'=4hBS'hMS'fc/c, where fc is the centre frequency in Hz, c=3×108 m/s is the propagation velocity in free space, and hBS' and hMS' are the effective antenna heights at the BS and the MS, respectively. The effective antenna heights hBS' and hMS' are computed as follows: hBS'=hBS-hE, hMS'=hMS-hE, where hBS and hMS are the actual antenna heights, and hE is the effective environment height assumed to be hE=1 m.

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hBS=maxhTx, hRx
hMS=minhTx, hRx

Table 2: LOS Probability

Scenario

LOS probability

UMa

Mathinline

body	--uriencoded--P_%7BLOS%7D=\min%7B\left(\frac%7B18%7D%7Bd%7D,\ 1\right)%7D\cdot\left(1-\exp%7B\left(-\frac%7Bd%7D%7B63%7D\right)%7D\right)%7B+%7D\exp%7B\left(-\frac%7Bd%7D%7B63%7D\right)%7D

SMa

Mathinline

body	--uriencoded--P_

LOS

%7BLOS%7D=

%7B█(

1,

d≤10@exp⁡

d≤10

Mathinline

body	--uriencoded--P_%7BLOS%7D=exp(-(d-10)/200) ,d>10 )┤

P_{LOS}=1, d≤10exp-d-10200,d>10

RMa

Mathinline

body	--uriencoded--P_%7BLOS%7D=1,d≤10

Mathinline

body	--uriencoded--P_%7BLOS%7D=exp(-(d-10)/1000) ,d>10

Note: According to Report ITU-R M.2135-1, the LOS probabilities are used only for system level simulations.

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The input parameters for the path loss model ITU-R M.2135-1 are shown in Figure 1 and defined in Table 3.

Figure 1: GUI of the ITU-R M.2135-1 path loss model

Table 3: Parameters of the ITU-R M.2135-1 path loss model

Description	Symbol	Type	Unit	Comments
Variation	σSF	B	dB	Variation in path loss (applies shadow fading)
Scenario	-	S	-	Urban Macro Cell (UMa), Suburban Macro Cell (SMa) or Rural Macro Cell (RMa)
Line of Sight	-	S	-	Line of Sight (LOS), Non-Line of Sight (NLOS), or LOS Probabilities
Street width	W	D	m	Average street width
Building height	h	D	m	Average building height

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