TableALl Values by which the ITU-R under-estimate the specific rainattenuation forLadysmith
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical POlarization
10 2.63 2.19
20 8.97 6.06
30 12.81 11.57
40 15.59 13.07
50 18.74 14.51
m
01
- - _._-~- m
'm 01
001
0lD1 -+-ZOl 001
-ZOl
Ell J() Cl
QlD1j.<.-~'-+-~"-'-t~~-+---'---~---r--~
Ell o
10 Cl
0llll1j..:...~-'--+~~--tl---,....----,----r-_--I
o
Horizontal Polarization Vertical Polarization
Fig. Al.2 Specific rain attenuation for horizontal and vertical polarization in Newcastle;
taking rain rate exceeded for 0.01% of the time
Appendices
Table Al.2 Values by which the ITU-R under-estimate thespecific rain attenuation for Newcastle
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
10 3.51 2.91
20 10.29 7.91
30 16.65 13.2
40 20.10 16.83
50 21.25 18.58
11) 11) - -
01
-=
m11
001
4l 8J :D 11
0CD1 ...~"--+-'~--"-t~~+--~_~ _ _..,.-_---j
o 4l 8J
:D 11
OllDlj..:.-~'-+--'~--"-t~~.l,---r----,---r---<
o
~(Gtl
Horizontal Polarization
~Gtl
Vertical Polarization
Fig. A1.3 Specific rain attenuation for horizontal and verticalpolarization in Vryheid;
taking rain rate exceeded for 0.01%of the time
Table A1.3 Values by which the ITU-R under-estimate thespecific rain attenuation for Vryheid
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
10 1.98 1.65
20 6.00 4.64
30 9.85 7.84
40 12.07 10.13
50 12.91 11.30
ID
-<lID • ID
~(Gtl
Vertical Polarization
1) ID
- - - - - -
-<lID +m
3l 1)
01 1)
Horizontaf'TJlmlMation
111
001
QlIDIJ-.-~-r-o~"""---+~...J:"'--~-~ _ _~_---J
o
Fig.AlASpecific rain attenuation for horizontal and vertical polarizationin Pietermaritzburg; taking rain rate exceeded for 0.01% of the time
Appendices
Table AI.4 Values by which the ITU-R under-estimate thespecific rain attenuation for Pietermaritzburg
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
10 3.58 2.97
20 10.32 7.90
30 16.55 13.09
40 19.80 16.57
50 20.80 14.17
10
01
100 - -
-2llJ
-2llJ -:.Dl1
01
DOl
DIDI ...= DOl
JU
!Il Bl 41 10 3l
DIDI+--~'--t-"~--'-t~~+--~_~ _ _- r - _ - - - j
o
JU Bl 3l 41
10
DaD1+--~"-t-~-'-I~~+--~ _ _~_--.-_---1
o
Horizontal Polarization Vertical Polarization
Fig. A1.5 Specific rain attenuation for horizontal and verticalpolarization in U1undi; taking rain rate exceeded for 0.01% of the time
Table A1.5 Values by which the ITU-R under-estimate the specific rain attenuation for U1undi
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
10 3.13 2.60
20 9.09 6.98
30 14.63 11.58
40 17.57 14.71
50 18.49 16.17
ID - - - ---~---,-- , - - - , - -
- u l - -
1)
01 .3ll1
001
-+-JIlI
oan --- --- .. --- Q01
ID it) J) Cl
10
oantJ---"-+-'~...~~-+-_-.-_ _.--_....,....__
it) 0
ID
~ Cl
00D1J.!---"-+-,~"""""~~+----,---r--_~_~
o
Horizontal Polarization Vertical Polarization
Fig. A1.6 Specific rain attenuation for horizontal and vertical polarization in East London;
taking rain rate exceeded for 0.01% of the time
Appendices
Table A1.6 Values by which the ITU-R under-estimate the specific rain attenuation for East London
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
10 3.24 2.69
20 9.72 7.50
30 15.87 12.61
40 19.34 16.23
50 20.62 18.04
1lD
1lD
01 ... m
001 ... m
4l III Jl 1)
QQl1l-L--~'--t--"~...~~-+-_-.,...._---._ _..,..-_...
ID o
~ 4l
Ollll1J.--...-~'-+--'~""""'~~+---.,....---,~_...,....-_-i
o
Horizontal Polarization Vertical Polarization
Fig. A1.7 Specific rain attenuation for horizontal and vertical polarization in Bloemfontein;
taking rain rate exceeded for 0.01 % of the time
Table AI.7 Values by which the ITU-R under-estimate the specific rain attenuation for Bloemfontein
Frequency (GHz) ITU-R Under-estimate Values (dB/km)
Horizontal Polarization Vertical Polarization
]0 2.38 1.98
20 7.13 5.5]
30 11.66 9.27
40 14.23 9.40
50 15.16 13.27
Appendices
Appendix B: Estimation of Path Attenuation Using Different Existing Models on the Available
Local Rain Data
The plots of the three existing models using the actual local measurements recorded for each geographical location situated at different frequencies for the estimation of the path attenuation exceeded at 0.01 % oftime not shown in chapter five of this work are shown in the figures below.
: B l , - - - , - - - " - - - _
15 1)
ol----~--~--~--~-~
o
2tGHz 15
RlhlBtlh(lnl
O l ! - - - + - - - + - - - r - - - - r - - - - o
~(Inl
30GHz
Fig B2.t Rain attenuation prediction models for terrestrialline-of-sight links for Richards Bay for frequencies 20 GHz and 30 GHz
l l l , - - - , . . - - - -
14ly---,
·1
I
~
ol---+---i----~---~--~
o
20GHz
ol----+----~--~---~--~
o ~ ~ ~
RlIllsVh(ln)
30 GHz
Fig. B2.2 Rain attenuation prediction models for terrestrialline-of-sight links for Cape Town for frequencies 20 GHz and 30 GHz
1 I l r = = = = = = ; - - -
-+-mJRMxIj
14l1y---,.-
~
E i=
'O1ll
C~ ... MJ.Po,m Mxti
;;lIlf---~/1:
ci
..,~
~EI) ill
~
.!!~4)~
~
---.. --- ---i
I
I
ol----r---.---~---~---~
o ~ ~ ~
RlIllsVh(ln)
20GHz
Ol+----~--~---~---_,_--~
o ~ ~ ~
RlIlilrgh(ln)
30GHz
Fig. B2.3 Rain attenuation prediction models for terrestrialline-of-sight links for Brandvlei for frequencies 20 GHz and 30 GHz
Appendices
25 10 15
O!---~---~--~---~--___1
o
JIl..---.--- ---J
10 15
ol---~---;---~_--~--~
o
:mF""=~~====-r--
RlhlB'gh(lnl
20 GHz 30 GHz
Fig. B2.4 Rain attenuation prediction models for terrestrialline-of-sight links for Pretoria for frequencies 20 GHz and 30 GHz
: m . , - - - . , - - - - 2 I l 1 , - - - , - - - -
10 15
RlhlBgh(lnJ
ol---;.---~---~--~---~
o
o'l---+---~---_--__r_--~
o
20GHz 30 GHz
Fig. B2.5 Rain attenuation prediction models for terrestrialline-of-sight links for Durban for frequencies 20 GHz and 30 GHz
8l,....---r---~--, 3 D , - - - . , , - - - , Ii
...~
!
Ol+----.---,---~---~----,
0 1 ) 1 5 25
25 1) 15
Ol+---,---~---~---_r_--____,
o
fljhlBltt(lnl
10 GHz
RlhlBltt(lnl
20GHz
~19)
"~
"
. ~
w~ cmc
:g
~c
,"
«s>~_, ~. 1mE
:!!
~
I,§
Ic~3D't_---~--___:1f~
~c
2Il'~r-~~---1 3D
.... flURMxtj
~3D
~
.,E c
C~fi)If---..J~
C
;;c 1l"8~1CD
w co
:;
~c
~s>
«
1) 15
RlhLJrgh(lnl
40GHz
5
OJ---,---~---__r---~--~
25 o
1) 15
RlhLJrgh(lnl
30GHz
O+---r---r---r----~---,
o
Fig. B2.6 Rain attenuation prediction models for terrestrialline-of-sight links for Ladysmith for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz
Appendices
16 :Ill
-nuRMlI1!I
~1BJ .... a.noGcDl_
~ .... 1Itr.fIa,m- 'l;
~em
&
0
0
'll..,
5III
.
wc 0 .~
.
clioll
z 0
0 15 :ID
10
o1---+---,----~---~--~
o
1 l l . = = = = = = = = ; - - - -
in:2
• ....1Itr.fIa,mMxI!l
~1Ilj----~----'
10 GHz 20GHz
3 D f = - ' = = = = = = ; - :BJ...---,---
3D in:2
~2D'0 f---,,---'
"
~~m15 10 15
o+---~c---~---~---~---__1
o
ol---f----~---~---~---~
o
30GHz 40GHz
Fig. B2.7 Rain attenuation prediction models for terrestrialline-of-sight links for Newcastle for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz
( i J , . . - - - , - - - - 1 B l , . - - - , ; - - - -
---1 I
---1I
I
i
I
~4)
~~
'0 cm
~3l+_---'
i!:
oci
~~3l
wc
i
~10<t
10 15
O~---r__--_---~---~---~
o
15 20 10
o~--_---~---~---~--~
o
10 GHz 20GHz
Z I l I l " " " " " - - - , , - - - - - -
ZIlIr======;
-I I
.... oa-eOdBMnl ---
Ol+_---r__--_---~---__r---~
o
~:m
"
.;
'0c:
e'dl'I---~,.--J
;;1l o
"0
"
"0
81D
ill
O + _ - - - r _ _ - -_ _--~---~---~
o
30GHz 40GHz
Fig. B2.8 Rain attenuation prediction models for terrestrialline-of-sight links for Vryheid for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz
Appendices
l I l . , = = = = = = = , - - - - -- - - , ZD,---,---~---____,
:i5
,
- ---I
I
40GHz
RlhLtrgl1(1n1
20GHz
JIIl
-+-1TURMrl!l
:m iDE
j2!l)
"0 c~ u
~3:D
0.;
"C
~~S
w
jm
c"
«
!Il
:i5 0
0
10 15
RlhlBUh(ln)
IOGHz
JIIl
-+-nuRMrl!l
:m
~ .... OcreCJctd M:I:b
~:;m"0
~~D
0.;
~:1SJ
~c
1
100«~
!Il
0
0 10 15
R<hLtrgl1(1n1
30GHz
Fig. B2.9 Rain attenuation prediction models for terrestrialline-of-sightlinks for Pietermaritzburg for frequencies 10 GHz, 20 GHz, 30 GHzand 40 GHz
21
: -;--1
',,,,, ,,,,,,, ,
----.----.--~.- ---1---··---
, : I
, I
i I
-~ -1
o1----~--_:---___;.----..;...---__i
o
3D --
-1
I I
-,I
10 15
Rlhls11t(ln)
ol---:----~--_r_---~-
o
ID
1 0 , - - - . . , - - - ;
IOGHz 20GHz
10 15
1lIlhl.frgh(ln)
- -~
:Ill
-+-nuRMnl
:m ... Q;reQdDMnl
iD~
~2SJ'0
.
cu&3D
0ci
i:~s
w '~100c lj~
'"
lD0
21 0
10 15
IlIlhlBltt(ln)
ol---+---i---~---~--___, o
:m,,===~==~=,--
30GHz 40GHz
Fig. B2.10 Rain attenuation prediction models for terrestrialline-of-sight links for Ulundi for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz
Appendices
:m.---,---~
ai :!!1IIl
'"E
'0
~~1lDI----...---'
II
o.,;
i:..,
~81
m Co
.;;:,
C
~C4)
-r1
i /
.--_...-----_.-- - -...._. _.~_.---- -----
~.-r
4 ) 1 - - - ;
11),---,
ol---I----;---+---+---~
o
ol---;---~---~---~--~
0 1 ) 1 5 25
-lJrUh(lnl
10 GHz 20GHz
3D
-+-ruRMUl
---_...,
ai2IJ -+-Q:reOdljMxII :!!
m
i=E -+-Mljj:unlMxll
2m
C8~ c
~fi)..,
"llm
"
W1D~ Cc
~,
Cm
li!ll
lD 25 0
0 1) 15
RlhLsgh(lnj
40GHz
ot---I----;I---~---~---~
o
30GHz
-+-ffiJRMxII
3D-.=======~~---
Fig. B2.11 Rain attenuation prediction models for terrestrialline-of-sight links for East London for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz
l I l ' r - - - r - - - - 'Bllr======~---I
1l 20GiIz
fVlIBllh(Inl
o1---;---t---~---__r_--_,
o
I ---,---,--- ---j
I jjj
:!!!Il
"
i=E
"
~
~4)~---'
;:
Il
~
;;3)1:
.,;
."
~§;o
"c
~o~
~1lc
«
foGHz 15
~(Inl
25
40GHz
3D
jjj2ll :!!
"
~~mc
..
1lQ~15)-g
-:
~"'100c
0
~c
"
:is)
0 0 15 25
1l
ol---+----~--~---~--__,
o
2 I l 1 r - - - ,
Rlhls'gh(Inl
30GHz
;:
~'BlIl---,---':/
""
;;.,;
.".,
1
100 -illc
"
~~
~S)c
«
Fig. B2.12 Rain attenuation prediction models for terrestrial line-of-sight links for B1oemfontein for frequencies 10 GHz, 20 GHz, 30 GHz and 40 GHz