function [sigmaA_L_deg, sigmaA_G_deg, sigma_L_deg, sigma_G_deg] = functionAS2sigma(sigma_deg)
delta_phi_L = pi;
delta_phi_G = pi;
bound = 1000;
phi_deg = -bound:0.01:bound;
phi = phi_deg * pi / 180;
sigma = sigma_deg * pi / 180;
P_L = zeros(1, length(phi));
P_G = zeros(1, length(phi));
P_L_general = zeros(1, length(phi));
P_G_general = zeros(1, length(phi));
Q_L = 1/(1-exp(-sqrt(2)*delta_phi_L/sigma));
Q_G = 1/erf(delta_phi_G/(sqrt(2)*sigma));
sigmaA_L = 0;
sigmaA_G = 0;
sigma_L = 0;
sigma_G = 0;
cdf_G = 0;
cdf_L = 0;
for i=-bound:0.01:bound
ii = i*pi/180;
j = round((i+bound)*100+1);
P_L(j) = Q_L/(sqrt(2)*sigma)*exp(-sqrt(2)*abs(ii)/sigma);
P_G(j) = Q_G/(sqrt(2*pi)*sigma)*exp(-(ii)^2/(2*sigma^2));
P_L_general(j) = 1/(sqrt(2)*sigma)*exp(-sqrt(2)*abs(ii)/sigma);
P_G_general(j) = 1/(sqrt(2)*sigma)*exp(-sqrt(2)*abs(ii)/sigma);
cdf_G = cdf_G + P_G_general(j)*(0.01*pi/180);
cdf_L = cdf_L + P_L_general(j)*(0.01*pi/180);
sigma_G = sigma_G + ii*ii*P_G_general(j)*(0.01*pi/180);
sigma_L = sigma_L + ii*ii*P_L_general(j)*(0.01*pi/180);
if i >= -delta_phi_L*180/pi && i <= delta_phi_L*180/pi
sigmaA_L = sigmaA_L + ii*ii*P_L(j)*(0.01*pi/180);
end
if i >= -delta_phi_G*180/pi && i <= delta_phi_G*180/pi
sigmaA_G = sigmaA_G + ii*ii*P_G(j)*(0.01*pi/180);
end
end
sigma_L_deg = sqrt(sigma_L)*180/pi
sigma_G_deg = sqrt(sigma_G)*180/pi
sigma_deg
% sqrt(sigma_L)
% sqrt(sigma_G)
% sigma
sigmaA_L_deg = sqrt(sigmaA_L) * 180 / pi;
sigmaA_G_deg = sqrt(sigmaA_G) * 180 / pi;
if(sigma_deg == 70)
figure(1)
plot(phi_deg, P_L)
hold on;
plot(phi_deg, P_G)
axis([-200, 200, 0, 5])
grid on
end
end
