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A.17.20.1 Description of the model

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This

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path

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loss

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model

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was

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developed

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by

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ITU-R

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and

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its

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detailed

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description

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can

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be

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found

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in

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[1

...

].

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  The

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model

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was

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developed

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for

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the

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evaluation

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of

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candidate

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IMT-Advanced

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Radio

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Interface

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Technologies

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in

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the

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frequency

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band

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2–6

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GHz

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and

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for

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the

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following

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environments:

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urban

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macro

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(UMa),

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urban

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micro

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(UMi),

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suburban

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macro

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(SMa),

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rural

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macro

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(RMa),

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and

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indoor

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hotspot

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(InH).

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Note

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that

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only

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outdoor

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scenarios

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UMa,

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SMa,

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and

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RMa

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are

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implemented

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in

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SEAMCAT.

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The

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path

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loss

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model

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from

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Report

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ITU-R

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M.2135-1

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is

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an

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empirical

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path

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loss

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model

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based

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on

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measurements

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results

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carried

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out

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in

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IST-WINNER

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II

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project

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[2

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],

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as

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well

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as

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results

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from

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the

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literature.

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The

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model

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supports

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LOS

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and

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NLOS

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propagation

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conditions

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as

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well

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as

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the

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LOS

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probabilities.

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This

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model

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includes

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clutter

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loss

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and

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as

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such,

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it

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is

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not

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to

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be

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combined

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with

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the

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clutter

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loss

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model

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of

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Recommendation

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ITU-R

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P.2108-0.

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Table 1: ITU-R M.2135-1

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Path

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Scenario

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LOS/NLOS

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Path Loss [dB]

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Shadow fading std [dB]

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Applicability ranges and default values [m]

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Urban Macro (UMa)

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LOS

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

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σSF=4

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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

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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)

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σSF=6

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

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Suburban Macro (SMa)

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LOS

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

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

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σSF=4

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PL2=PL1dBP+40log10ddBP

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σSF=6

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NLOS

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

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σSF=8

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Rural Maro (RMa)

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LOS

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

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

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σSF=4

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PL2=PL1dBP+40log10ddBP

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σSF=6

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NLOS

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σSF=8

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Note 1:
Breakpoint distance dBP'=4hBS'hMS'fc/c, where Loss model

Image Added

Note 1:
Breakpoint distance

Mathinline
body--uriencoded--%7B\ d%7D_%7BBP%7D%5e\prime=4h_%7BBS%7D%5e\prime h_%7BMS%7D%5e\prime f_c/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.

Note 2:
Break point distance dBP=2πhBShMSfc

Mathinline
body--uriencoded--d_%7BBP%7D=2\pi h_%7BBS%7Dh_%7BMS%7Df_c/c,
where
 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 antenna heights at the BS and the MS, respectively.


SEAMCAT specific implementation:
hBS=maxhTx, hRx
hMS=minhTx, hRx
Anchor_Ref529442393_Ref529442393

Mathinline
body--uriencoded--h_%7BBS%7D=\max%7B\left(h_%7BTx%7D,\ h_%7BRx%7D\right)%7D

Mathinline
body--uriencoded--h_%7BMS%7D=\min%7B\left(h_%7BTx%7D,\ h_%7BRx%7D\right)%7D



Table 2: LOS Probability

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Scenario

LOS probability

UMa

PLOS=min18d, 1⋅1-exp-d63+exp-d63

SMa

PLOS=1, d≤10exp-d-10200, d>10

RMa

PLOS=1, d≤10exp-d-101000, d>10

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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


Note: According to Report ITU-R M.2135-1,

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the

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LOS

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probabilities

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are

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used

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only

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for

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system

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level

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simulations.

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In

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case

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the

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LOS

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probability

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is

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used,

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the

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path

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loss

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is

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computed

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as

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follows:

for a given Tx-Rx distance d:

  • compute probability of LoS:  
    Mathinline
    body--uriencoded--P_%7BLOS%7D
  • draw a sample value from uniform distribution 
    Mathinline
    body u\ =\ U(0,1)
  • if  
    Mathinline
    body--uriencoded--u\ <\ P_%7BLOS%7D
     the path is LoS:

Mathinline
body--uriencoded--PL=%7BPL%7D_%7BLOS%7D\ \ \ \ \ \ \ \ (dB)

  • else the path is NLoS:

Mathinline
body--uriencoded--PL=%7BPL%7D_%7BNLOS%7D\ \ \ \ \ \ (dB)

where path losses in the LOS and NLOS conditions (

Mathinline
body--uriencoded--PL_%7BLOS%7D
 and 
Mathinline
body--uriencoded--PL_%7BNLOS%7D
) and the LOS probability, 
Mathinline
body--uriencoded--P_%7BLOS%7D
, for a given scenario are shown in Table 1 and Table 2, respectively. 


A17.20.2 Input parameters


The input parameters for the path loss model ITU-R M.2135-1 are shown in Figure 1 and defined in Table 3.
Image Removed
Anchor_Ref507762590_Ref507762590Image Added
Figure 1: GUI of the ITU-R M.2135-1 path loss model Anchor_Ref507762636_Ref507762636


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

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S

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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

 

 

References

[1]

ITU-R, "Report ITU-R M.2135-1: Guidelines for evaluation of radio interface technologies for IMT-Advanced," 2009.

[2]

P. Kyösti, J. Meinilä, L. Hentilä, X. Zhao, T. Jämsä, C. Schneider, M. Narandzić, M. Milojević, A. Hong, J. Ylitalo, V.-M. Holappa, M. Alatossava, R. Bultitude, Y. d. Jong and T. Rautiainen, "IST-4-027756 WINNER II D1.1.2 V1.2 WINNER II Channel Models Part I: Channel Models," 2008.

[3]

M. K. Samimi, T. S. Rappaport and G. R. MacCartney, "Probabilistic omnidirectional path loss models for millimeter-wave outdoor communications," IEEE Wireless Communications Letters, vol. 4, no. 4, p. 357–360, 2015.