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iiITU-R P.1812-3
(IPR)
(ITU-T/ITU-R/ISO/IEC)1
1 R-ITU
R/go/patents/en-http://www.itu.int/ITU
en/REC-R/publ/int.itu.www://http
BO
BR
BS
BT
F
M
P
RA
RS
S
SA
SF
SM
SNG
TF
V
ITU-R 1
2015
ITU 2015
(ITU)
ITU-R P.1812-3 1
ITU-R P.1812-3
(VHF)(UHF)
ITU-R 203/3
(2013-2012-2009-2007)
MHz 30
GHz 3%p(1% ≤ p ≤ 50%)
Lp)99% ≤ Lp ≤ 1%(
km 0,25
km 3 000km 3
ITU-R P.1546
(VHF)(UHF)
ITU-R P.528
MHz 125GHz 30km 1 800
ITU-R P.452
0,7GHz
ITU-R P.617(PP)
30MHz
100km 1 000
ITU-R P.1411
km 1
2ITU-R P.1812-3
ITU-R P.530
(LoS)
ITU-R P.1546
(VHF)(UHF)
ITU-R P.2001MHz 30
GHz 50
1
VHFR P.844-ITU
1
1
(VHF)(UHF)
%p
)50% ≤ p ≤ 1%(Lp%)99% ≤ Lp ≤ 1%(
(dB)%p
(dB(μV/m))kW 1
dBi 40
dB 1
km 0,25
km 3 000km 3
4ITU-R P.1812-3
3
1.3
1
1
f GHz 0,03 3,0 (GHz)
p % 1,0 50,0
Lp % 1 99
r, φtφ 80−80+
r, ψtψ 180,0− 180,0
rgh, tgh m 1 3 000
sw m 1 100 27
13.3.4(29a)(29b)(30)
2.3
n
idi )(km)1a(
ihi(m))1b(
igihi(m))1c(
i(1, 2, 3 ... n)
n
nn ≥ 3
km 1
1d1h
nndnh
6ITU-R P.1812-3
2
(m)
(1c)
i21-n
7.4
(1c)
i1n
0 10 (64b)
0 10 (64b)
10 10 (64a)
15 15 (64a)
20 20 (64a)
3.3
3
(IDWM)(BR)
km 50
3
A1 m 100
km 50
m 100
A2
B km 100
4.3
B)crd, ctd((km)
ITU-R P.1812-3 7
5.3
Nkm/N
N
0NN
DN50.txtN050.txt0°360°90+°
90° 1,5°LATLON
DN50.txtN050.txt
ITU-R P.1144
4
DN50.txt P.453 90 09 1,5 0 360 1,5
N050.txt P.453 90 09 1,5 0 360 1,5
LAT.txt P.453 90 09 1,5 0 360 1,5
LON.txt P.453 90 09 1,5 0 360 1,5
(1992-1983)
E-I!!ZIP-201309-3-P.1812-REC-R
6.3
0β(%)
N 100km0β
1μ
2,0
354,0496,05–6,6–16
–
1 1010μ
tmd
(2)
1μ)1 1μ(
8ITU-R P.1812-3
41,2000412,0exp1 lmd (3)
tmd (km)
lmd(km)
3tmdlmd
50 km
tmdlmdd
4μ1μ
70for
70for
3,014
|)|0176,0935,0(–14
(4)
0β
70for%μμ17,4
70for%μμ10β
41
4167,1015,0
0 (5)
7.3
50k
N
k
157
15750 (6)
ΔNDN50.txt
ea
km 506371kae )7a(
0a
km ββ 6371ka (7b)
k3,0 = 0
p= a ea50%pa= βa0%β
ITU-R P.1812-3 9
8.3
5
ea(7a)1
4
1.4
bL(dB)
%p%506.4-2.4
(LoS)
10.47.4
11.4
(dB μV/m)kW 1
5
d (km)
lrd, ltd (km)
r, θtθ (mrad)
θ (mrad)
rs, htsh (m)
rc, htch )1g, tsh()ng, rsh(
reh, teh (m)
bd (km)
ω
ddb /
d(km)(73)
= 0
2.4
dB dfLbfs log20log2045,92 (8)
11ITU-R P.1812-3
p0
dB
50log
10–exp–16,2
pddE lrlt
sp (9a)
dB
50
βlog
10exp16,2 0
βlrlt
s
ddE
(9b)
%p
(10) spbfspb ELL 0 dB
0%
(11) sbfsb ELL 0 dB
3.4
(Bullington)
(p = 50%)
(p < 50%)3
0%
0β(5)
%p(1% ≤ p ≤ 50%)
5.3.4
(12)
1,011,0log209,6)(2
J
)0 78),(−0J()ν(J
(ν ≤ −0,78)
ITU-R P.1812-3 11
1.3.4
2.3.4
1.3.4
3.3.41.3.42.3.4
4.3.4%p
1.3.4
m/km
iidkmig m
i1nn
dkm
tshrsh)1–km eC(pa1/pa
pa5.3.4
(13)
i
tciiei
tim d
hdddCgS
500max m/km
i2n – 1
(14) d
hhS tcrc
tr
m/km
1
)trS < timS(
(15)
ii
ircitciiei ddd
d
d
dhddhdddCg
λ
002,0500maxmax
i2n – 1
(16) max JLuc dB
J)12(b0,78
12ITU-R P.1812-3
2
)trS timS(
(17)
i
rciiei
rim dd
hdddCgS
500max m/km
i2n – 1
(18) rimtim
rimtcrcbp SS
dShhd
km
b
(19)
bpbp
bprcbptcbptimtcb ddd
d
d
dhddhdSh
λ
002,0
(20) buc JL dB
ucL)16()20(
(21) dL
LL ucucbull 02,010
6exp1
dB
2.3.4
dsphLp%
tesphhresphh(m)
(22) resphtesph hhad plos 001,0001,02 km
)losd ≥ d(3.3.4)pa = dfta(
dftLdsphLdftL
seh
(23) d
da
dhd
a
dh
h
sep
seresphse
p
setesph
se
1
22
2
21 500500
m
ITU-R P.1812-3 13
:
(24a) )1(2
1 bd
dse km
(24b) 12 sese ddd km
(24c)
3)1(
3
2
3arccos
3
1
3
πcos
3
12
c
c
c
c
m
mc
m
mb
(24d) resphtesph
resphtesph
hh
hhc
(24e) )(
250 2
resphtesphp
chha
dm
reqh
(25) d
ddh sese
req
λ456,17 21 m
)req> h seh(dsphL
emad
(26)
2
500
resphtesph
emhh
da km
3.3.4)ema = dfta(dftL
dftLdsphL
dB dft
req
sedsph L
h
hL
–1 (27)
14ITU-R P.1812-3
3.3.4
2.3.4dftL
dftadfta2.3.4
rε = 22,0 = 0,003 S/m
dftL(29)(36)dftlandL
rε = 80,0 = 5,0 S/m
dftL(29)(36)dftseaL
dB dftlanddftseadft LLL )1( (28)
4/1–
2
23/1– σ18)1–ε(036,0
ffaK rH dft (29a)
2/1
2
2 σ18ε
fKK rHV(29b)
MHz 3001dftB(30)
42
42
53,15,41
67,06,11
KK
KKdft
(30)
KHKVK
(31) da
fX
dft
dft
3/1
2β88,21
ITU-R P.1812-3 15
(32a) tesph
dft
dftt ha
fY
3/12
β9575,0
(32b) resph
dft
dftr ha
fY
3/12
β9575,0
(33)
6,1for 5,6488)log(20
6,1for 6,17)log(1011425,1 XXX
XXXFX
(34)
otherwise)1,0log(20
2 > for 8)1,1log(5)1,1(6,17)(
3
5,0
BB
BBBYG
(35) YB dft
)Y(GKYG log202)(
(36) rtXdft YGYGFL dB
4.3.4
1.3.4
bullaL = bullL)21(
1.3.4ig
(37a) stdtctc hhh ' m
(37b) srdrcrc hhh ' m
stdhsrdh3.6.51
bullsL = bullL(21)
2.3.4dsphL
dkm
(38a) '
tctesph hh m
(38b) '
rcresph hh m
16ITU-R P.1812-3
(39) }0,max{ bullsdsphbullad LLLL dB
5.3.4%p
4.3.4dLea = pa
(7a)50dL = dL
p = %50p%dpL50dL
)< 50% p(p%dpL
4.3.4dL0%
a(7b)0%
dL = dL
iF
)%0β ≥ p > 50%(
(40a)
100
β
100
0I
pI
Fi if %%50 0 p
(40b) = 1 if p %0
I(x)x2
I(x)(x ≤ 0,5)
dpLp%
(41) iddddp FLLLL )–( 5050 dB
iFb)-(40ap0
50bdL
(42) 5050 dbfsbd LLL dB
bfsL(8)
%p
(43) dppbbd LLL 0 dB
p0bL(10)
ITU-R P.1812-3 17
4.4
1%50
p%0,001%50
2
%50
bsL(dB)
p%50
(44)
7,0
0
50log125,10–15,0–θ573,0log201,190
pNdLL fbs dB
fL
(45)
2
2log5,2)log(25
ffL f dB
0N
5.4
baL(dB)
%p
(46) )( pAAL dfba dB
fA
(47) crctsrstlflrltf AAAAAddfA log20log2045,102 dB
lfA
(47a)
GHz0,5fordB
GHz0,5fordB
0
5,920,137375,45 2
f
fff
fAlf
stAsrA
mrad0,fordB
mrad0,fordB
0
3/1,264,0
2/1,361,01log20
,
rt
rtfrtlt,lrdfrt
srstA
(48)
18ITU-R P.1812-3
(48a) mrad1,0–θ, lt,lrt,rrt d
ctA crA
rstscrctct,cr hdA ,
2
, 5007,0tanh125,0exp3– dB for 0,75
(49)
conditionsother allfordB0
km5
fordB5007,0tanh125,0exp3–
75,0ω
,
,,,2
,
, crct
lrltcrctrstscrct
crct d
ddhd
A
(49)
)p( dA
(50) )()( pApA dd dB
d
(51) 3/15–105γ faed dB/mrad
(48a)
(46)
(52) mrad103
rtea
d
(52a)
mrad1,0θfor1,0
mrad1,0θforθ
,
lt,lrt,rlt,lr
lt,lrt,rt,r
rt
dd
d
A(p)
(53) dBβ
12β
log)107,32,1(12)(
Γ
3
pp
dpA
(53a)
13,16–2
012,110)β(log198,0βlog8,4–51,9–exp
βlog–0058,2
076,1Γ d
(54) 320 μμββ %
ITU-R P.1812-3 19
2
(55)
α
2
2
2
500μ
retee hh
d
a
21
(55a) 91,3 10ετ6,0–α d
3,5
(3)α3,4–
3
(56)
m10for)643()10–(106,4–exp
m10for1
μ5–
3
mIm
m
hdh
h
(56a) )40,––(min lrltI dddd km
121
6.4%p%50
%p%50
%p%50
jF
(57)
Θ
Θθξ0,3tanh0,15,00,1
)(jF
Θ0,3
ξ0,8
θ(mrad)8
kF
(58)
sw
swk
d
ddF
)(0,3tanh0,15,00,1
21ITU-R P.1812-3
d(km)3
swd20
κ0,5
p0minbL(dB)
(59)
dBβfor ))ω1((
dBβfor )ω1(
050050
00
0min
pFLLLL
pLL
L
ibddpbbd
dppb
pb
p0bLp%
(10)
0bL0%
(11)
dpLp%(41)
50bdL(42)
iF(40)
minbapL(dB)
(60)
ηexp
ηexplnη
0 pbbabapmin
LLL dB
baL
%p(46)
p0bLp%
(10)
η 2,5
bdaL(dB)
(61)
bdbapminkbapminbdbapmin
bdbapminbd
bda
LLFLLL
LLL
L
for)(
for
dB
ITU-R P.1812-3 21
bdLp%
(43)
minbapL
(60)
kF(58)
d
bamL(dB)
(62) jbdapbminbdamba FLLLL )( 0 dB
bdaL
(61)
p0minbL
(59)
jF(57)θ
%p%50
buL(dB)
(63) bambs LLbuL
2,02,01010log5
dB
bsL
%p(44)
bamL
(62)
7.4
tRrR
htAhrAR2.3
22ITU-R P.1812-3
hA = htAhrAh = tghrghR = tRrR
)R < h(0) = hA(
)R < h(hA2
(64a)
03,6–)( JAh dB
(64b) )/log(– 2 RhKA hh dB
J()(12)
2hK
(64c) clutdifnu hK θ
(64d) hRhdif – m
sdegree
s
dif
clutw
harctanθ (64e)
(64f) )(log2,68,212 fKh
(64g) fKnu 342,0
f(GHz)
sw27
(64a)(Fresnel)
(64b)
R
R
(64b)
R3
8.4
p%%50
bcL(dB)
(65) hrhtbubc AALL dB
ITU-R P.1812-3 23
buLp%%50
(63)
ht,hrA64a64b
8.4
ITU-R P.1406
500m 500
(66) )(log3,1σ fKLL dB
LK =5,1
LK =4,9
LK =4,4
f (GHz)
500m 500
L
dB 4km 2dB 8km 50
Lp%1%99%199%
6
24ITU-R P.1812-3
6
MHz 100 MHz 600 MHz 2 000
(dB) 8,39,5 –
(dB)5,5 5,5 5,5
u(h)
(67)
hRhu
RhRRh
hu
Rhhu
10for 0)(
10for 10
)(1)(
0for 1)(
R(m)
Lσ(66)6)h(u
(67)Lp%%50
9.4
(dB)
7
7
(1)beLbe
FbeL(dB) beσ(dB)
GHz 0,293
GHz 0,6116
GHz 1,511 6
(1)
GHz 0,2beLdB 9beσdB 3GHz 1,5beL11 dB
beσ6 dBGHz 0,2GHz 0,6GHz 0,6GHz 1,5
ITU-R P.1812-3 25
beLbeσbeLbeσ7GHz 0,2GHz 0,6
GHz 0,6)(GHz 1,5
L
be
i
(68) 22beLi dB
Lσ(66)6
MHz 1(VHF)
dB 5,5dB 3dB 6,3IV/V
dB 5,5dB 6dB 8,1
10.4p%Lp%
locLlocσ
dB0locL69a)(
dBbeloc LL (69b)
dBLloc hu σ)(σ (70a)
dBiloc (70b)
beL7)h(u(67)
Lσiσ(66)6(68)
p%Lp%bL (dB)
(71)
loc
Llocbcpbb
pILLLL σ
100,max 0 dB
p0bLp%%50
(10)
bcLp%%50
(65)
locL(69a)(69b)
I(x)x2
I(x)(0,000001 ≤ x ≤ 0,999999)
loc
(70a)(70b)
Lp%1%99%1%99
26ITU-R P.1812-3
11.4%pLp%
kW 1p%%50
pE V/m)μdB(
(72) bp LfE –)log(2036,199 dB(μV/m)
bLp%Lp%
(71)
f (GHz)
1
1
1
8
2
)tt()rr(
m 30km 1
ea(7a)
1
nn1
ITU-R P.1812-3 27
1
P.1812-01
rsh
lrd
hrg
hgr
r
d
d lt
d i
t
tgh
gth
lh
hts
ak
ae
=
·
50
Interfering station (T) Interfered-withstation (R)
i-th terrain point
Note 1 – The value of as drawn will be negative.t
8
8
ea (km)
d (km)
iid (km)
f (GHz)
λ (m)
tsh (m)(amsl)
rsh(m)(amsl)
(R)
i
(T)
1t
28ITU-R P.1812-3
8
tθ (mrad)
rθ (mrad)
θ (mrad)
sth (amsl)(m)
srh (amsl)(m)
ih i(m)
1h
nh
mh (m)
teh (m)
reh (m)
3
)tφtψ(
)rφrψ(
(km) d
(73) ndd km
(74)
iii did 1 km
i= 1niid(km)
4
(LoS)
ea(7a)
(75) tdmax θθ mrad
ITU-R P.1812-3 29
(76) )θ(maxθ1
2i
–n
imax
mrad
ii
(77)
e
i
i
tsii
a
d
d
hh
210arctan1000θ
3 mrad
ihi(m)
tsh(m)
idi(km)
(78)
e
tsrstd
a
d
d
hh
210arctan1000θ
3 mrad
rsh(m)
d(km)
ea)7a(
5
8
1.5t
(79) ),(max tdmaxt mrad
max(76)
2.5ltd
(76)
(80) )(maxforkm iilt dd
i
(80a)
ii
irsitsiiei ddd
d
d
dhddhdddCh
λ
002,0500maxmax
31ITU-R P.1812-3
i21 – neC1.3.4.
1
3.5r
r
(81)
e
rstsr
a
d
d
hh
210arctan1000θ
3 mrad
r
(82) )(θmaxθ1
2j
–n
jr
mrad
(82a)
e
j
j
rsj
ja
dd
dd
hh
210arctan1000θ
3 mrad
4.5lrd
(82)
(83) )(maxforkm– jjlr ddd
lrd
(83a) ltlr ddd – km
5.5(mrad)
(84) rt
ea
dθθ
10θ
3
mrad
6.5
1.6.5
sthsrh
2.6.5tshsrhstdhsrdh
4.3.4.1
stdhsrdhsthsrh
3.6.5sthsrhtehrehmh
5.41
ITU-R P.1812-3 31
1.6.5
n
i
iiii hhddv2
111 (85)
n
i
iiiiiiii ddhddhddv2
11112 22 (86)
m2
221
d
vdvhst (87)
m2
12
d
dvvhsr (88)
sth(m)
srh(m)
2.6.5
obshobtαobrα
m iobs Hh max (89a)
mrad
i
iobt
d
Hmaxα (89b)
mrad
i
iobr
dd
Hmaxα (89c)
:
m
d
dhddhhH ircitc
ii
(89d)
i2(n – 1)
obsh
(90a) ststp hh m amsl
(90b) srsrp hh m amsl
32ITU-R P.1812-3
(90c) tobsststp ghhh m amsl
(90d) robssrsrp ghhh m amsl
obrobt
obttg
αα
α
e)0(9
obrobt
obrrg
αα
α
f)0(9
stph1h
(91a) 1hhstd m amsl
(91b) stpstd hh m amsl
srphnh
(91c) nsrd hh m amsl
(91d) srpsrd hh m amsl
3.6.5
(92a) ),(min 1hhh stst m
(92b) ),(min nsrsr hhh m
m
(93) d
hhm stsr – m/km
tehreh
(94a) sttgte hhhh 1 m
(94b) srnrgre hhhh
m
mh(m)
(95) )(–max isti
lri
ltii
m mdhhh m
ITU-R P.1812-3 33
ltiltd
lrilrd
2mh
2
P.1812-02
hre
hsr
hm
teh
sth
a =
k. a
e50
a =
k. a
e50
Interfering station (T)
Interfered-withstation (R)
(Off
set o
rig
in)
Horizon
Horizon
(T)
(R)
34ITU-R P.1812-3
2
1
(0,000001 x 0,999999)
0,00054)0,000001 < x(0,0001%) < 0β(x
0,000001(x > 0,999999)
(30b)(49)(61)x
(0,01 x 0,99)
I(x)
(96a) )(–)()( xxTxI for 0,000001 x 0,5
(96b) )1()1()( xTxxI for 0,5 < x 0,999999
][ )(ln2–)( xxT
(97a)
1)()())((
)())(()(ξ
123
012
xTDxTDxTD
CxTCxTCx
(97b)
(97c) 515516698,20 C
(97d) 802853,01 C
(97e) 010328,02 C
(97f) 432788,11 D
(97g) 189269,02 D
(97h) 001308,03 D
ITU-R P.1812-3 35
3
1
8.4
3
P.1812-03
S
hps
AC
B
T
hpt
dcleardclear
dpc
dps
3‘T’‘S’
T
AB
S-AS-BA-TB-T
CB-Acpd
ptps
psps
pchh
hdd
(98)
pshpthSTB-A
clearrC
ps
pcpspc
cleard
dddr
λ6,0
(99)