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A.17.20.1 Description of the model

...

PL_{RMa-NLOS}

 

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=4PL2=PL1dBP+40log10ddBP


      sfs

Mathinline
body--uriencoded--PL_2=PL_1\left(d_%7BBP%7D\right)+40\log_%7B10%7D%7B\left(\frac%7Bd%7D%7Bd_%7BBP%7D%7D\right)%7D

σSF=6


NLOSPLSMa-NLOS

Mathinline
body--uriencoded--L_%7BSMa-NLOS%7D=161.04-7.

1log10W

1\log_%7B10%7D%7BW+7.

5log10h-

5\log_%7B10%7D%7Bh%7D%7D-\left(24.37-3.

7hhBS2log10hBS

7\left(\frac%7Bh%7D%7Bh_%7BBS%7D%7D\right)%5e2\right)\log_%7B10%7D%7Bh_%7BBS%7D%7D+(43.42-3.

1log10hBS

1\log_%7B10%7D%7Bh_%7BBS%7D)(

log10d

\log_%7B10%7D%7Bd-3)

+20log10fc

%7D%7D+20\log_%7B10%7Df_c-(3.

2log1011.75hMS2

2\left(\log_%7B10%7D\left(11.75h_%7BMS%7D\right)\right)%5e2-4.97)

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≤50PL1=20log10(40πdfc

Mathinline
body--uriencoded--%7BPL%7D_1=20\log_%7B10%7D%7B(40\pi d f_c/3)

+min0.03h1.72, 10log10d- min0.044h1.72, 14.77+0.002dlog10h

%7D+\min%7B\left(0.03h%5e%7B1.72%7D,\ 10\right)\log_%7B10%7D%7Bd%7D%7D - \min%7B\left(0.044h%5e%7B1.72%7D,\ 14.77\right)%7D+0.002d\log_%7B10%7D%7Bh%7D

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
Mathinline
body--uriencoded--PL_2=PL_1\left(d_%7BBP%7D\right)+40\log_%7B10%7D%7B\left(\frac%7Bd%7D%7Bd_%7BBP%7D%7D\right)%7D

σSF=6


NLOS

Mathinline
body--uriencoded--PL_%7BRMa-NLOS%7D=161.04-7.1\log_

{10}{W

%7B10%7D%7BW+7.5\log_

{10}{h}}

%7B10%7D%7Bh%7D%7D-\left(24.37-3.7\left(\

frac{h}{h_{BS}}

frac%7Bh%7D%7Bh_%7BBS%7D%7D\right)

^2

%5e2\right)\log_

{10}{h_{BS}}

%7B10%7D%7Bh_%7BBS%7D%7D+(43.42-3.1\log_

{10}{h_{BS}

%7B10%7D%7Bh_%7BBS%7D)(\log_

{10}{d

%7B10%7D%7Bd-3)

}}

%7D%7D+20\log_

{10}f

%7B10%7Df_c-(3.2\left(\log_

{10}

%7B10%7D\left(11.75h_

{MS}

%7BMS%7D\right)\right)

^2

%5e2-4.97)

 
for  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.

...

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_%7BLOS%7D=1,d≤10

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

Mathinline
body--uriencoded--P_%7BLOS%7D=1,d≤10

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

...


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

...