A.17.20.1 Description of the model
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Table 1: ITU-R M.2135-1 Path Loss 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 |
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| PL1=28.0+22log10d+20log10fc |
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| PL2=7.8+40log10d-18.0log10hBS'-18.0log10hMS'+2.0log10fc |
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| 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
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| PL1=20log10(40πd3Dfc/3)+min0.03h1.72, 10log10d- min0.044 PLSMa-LOS= PL1, 10 m≤d≤dBP'PL2, dBP'≤d≤5 km , (see Note 2) |
h1.72, 14.77+0.002dlog10h | σSF=4 |
| Mathinline |
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| body | --uriencoded--%7BPL%7D_1=20\log_%7B10%7D%7B(40\pi d_%7B3D%7Df_c/3) |
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| σSF=4 | sfs| %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 |
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| Mathinline |
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| 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 |
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| σSF=6 |
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NLOS | | Mathinline |
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| body | --uriencoded--L_%7BSMa-NLOS%7D=161.04-7.1\log_%7B10%7D%7BW+7.5\log_%7B10%7D%7Bh%7D%7D-\left(24.37-3.7\left(\frac%7Bh%7D%7Bh_%7BBS%7D%7D\right)%5e2\right)\log_%7B10%7D%7Bh_%7BBS%7D%7D+(43.42-3.1\log_%7B10%7D%7Bh_%7BBS%7D)(\log_%7B10%7D%7Bd-3)%7D%7D+20\log_%7B10%7Df_c-(3.2\left(\log_%7B10%7D\left(11.75h_%7BMS%7D\right)\right)%5e2-4.97) |
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| σSF=8 |
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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 |
| Mathinline |
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| body | --uriencoded--%7BPL%7D_1=20\log_%7B10%7D%7B(40\pi d f_c/3)%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 |
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| σSF=4 |
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| Mathinline |
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| 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 |
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| σSF=6 |
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NLOS | | Mathinline |
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| body | --uriencoded--PL_%7BRMa-NLOS%7D=161.04-7.1\log_%7B10%7D%7BW+7.5\log_%7B10%7D%7Bh%7D%7D-\left(24.37-3.7\left(\frac%7Bh%7D%7Bh_%7BBS%7D%7D\right)%5e2\right)\log_%7B10%7D%7Bh_%7BBS%7D%7D+(43.42-3.1\log_%7B10%7D%7Bh_%7BBS%7D)(\log_%7B10%7D%7Bd-3)%7D%7D+20\log_%7B10%7Df_c-(3.2\left(\log_%7B10%7D\left(11.75h_%7BMS%7D\right)\right)%5e2-4.97) |
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for 10≤d≤5 km
| σSF=8 |
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hBS=maxhTx, hRx
hMS=minhTx, hRx
Table 2: LOS Probability
Scenario | LOS probability |
UMa | | Mathinline |
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| 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 |
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SMa | | Mathinline |
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| body | --uriencoded--P_%7BLOS%7D=1,d≤10 |
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| Mathinline |
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| body | --uriencoded--P_%7BLOS%7D=exp(-(d-10)/200) ,d>10 |
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| RMa | | Mathinline |
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| body | --uriencoded--P_%7BLOS%7D=1,d≤10 |
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| Mathinline |
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| body | --uriencoded--P_%7BLOS%7D=exp(-(d-10)/1000) ,d>10 |
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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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