% Rec618_10
% reccomendation ITU-R 618-10
% Average Annual rain fade distribution on earth-Space Links
function Ap= Rec618_10(p)
% INPUTS
%phi=0.6894;% phi = latitude in radians
%phi=0.7931; %哈尔滨地区的纬度
phi=0.4028;%guangzhou
%phi=0.5627;
h_s=0.055;% h_s = height of Earth station in km
theta=0.2744;% theta = elevation angle in radians
%h_r=3.7375;% h_r = rain height in km
%h_r=3.2920; % 哈尔滨
h_r=3.6462;%guangzhou
%h_r=3.9027;
Freq=30;% Freq = frequency in GHz
%gammaR=4.0293;
%gammaR=6.0905;
%gammaR=8.6853;% guangzhou gammaR = specific attenuation of r01
gammaR=14.6506;
% p = time percentages
% OUTPUT
% Ap = average annual fade exceeded at given percentage
Rad2Deg = 180/pi; % conversin factor from radians to degrees
phi_deg = phi*Rad2Deg;
theta_deg = theta*Rad2Deg;
% Step 1
% rain height is an input
% Step 2
if theta_deg > 5
L_s = (h_r-h_s)/sin(theta); % path length through rain in km
else
stop
end
% Step 3
L_G = L_s * cos(theta); % horizontal projection
% Step 4
% 0.01% exceeded rain rate is an input
%Step 5
% 0.01% exceeded specific attenuation is an input
% Step 6 % horizontal reduction factor
r01 = 1/( 1 + 0.79*sqrt( L_G*gammaR/Freq ) - 0.38*( 1-exp(-2*L_G) ) );
% Step 7
sqiggle = atan( (h_r-h_s)/(L_G*r01) );
if sqiggle>theta
L_R = L_G*r01/cos(theta);
else
L_R = (h_r - h_s)/sin(theta);
end
if abs(phi_deg)<36
chi = 36-abs(phi_deg);
else
chi = 0;
end
%v01 = 1/( 1 + sqrt(sin(theta))*( 31*(1-exp(-(theta_deg/(1+chi)))*sqrt(L_R*gammaR)/Freq^2 ) - 0.45) );
v01 = sqrt(L_R*gammaR)/Freq^2;
v01 = 31*( 1-exp( -( theta_deg/( 1+chi ) ) ) )*v01 - 0.45;
v01 = 1 + sqrt( sin( theta ) )*v01;
v01 = 1/v01;
% Step 8
L_E = L_R*v01;
%Step 9
A01 = gammaR*L_E;
% Step 10
%NOTE different coefficients for p>1% or constraints on latitude and
%elevation
beta = -0.005*(abs(phi_deg)-36) + 1.8 - 4.25*sin(theta);
for i=1:5000
if p(i)>=1 || abs(phi_deg)>=36
beta = 0.0;
end
if p(i)<1 && abs(phi_deg)<36 && theta_deg>=25
beta = -0.005*(abs(phi_deg)-36);
end
Ap(i) = A01* (p(i)/0.01).^(-(0.655+0.033*log(p(i))-0.045*log(A01)-beta*(1-p(i))*sin(theta)));
end
JonSco
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