hello, I am trying to evaluate a summation series from n=1:1:400. The expression inside the summation needs to be evaluated for various inputs L=0.5:0.1:3 and alpha=0:0.1:1. can any one help?thank you.
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M MAGHSUDI
le 13 Mar 2018
Commenté : Abraham Boayue
le 14 Mar 2018
the summation is (sum of all terms from n=1 to n=4000): q_loss(L,alpha)=-2∑Real((Q_n/2.π.n.j)*(1- .e^(2.π.n.j.alpha)) in which Q-n is given by: Q_n=(P_H (1-e^(-2.j.π.n.alpha) )+P_L (e^(-2.j.π.n.alpha)-e^(-2.j.π.n) ))/(2.π.n.j(j.Z_o.Zi.tan(w.L.zi/c)+R_v )). I would be grateful for any help. Thank you
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Abraham Boayue
le 14 Mar 2018
Check this code out. It might be useful, let me know if it works, if not, let me know what's wrong and we can fix it together.
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Abraham Boayue
le 14 Mar 2018
clear varianles;
close all;
n = 1:400;
L = 0.5:0.04:3;
alpha = 0:0.04:1;
N = length(n);
M = length(L);
C = length(alpha);
% Define constants (Just my test values)
w = 0.45;
c = 2.8;
Rv = 3.5;
Zo = 2;
Zi = 4;
Ph = 4.5;
Pl = 6.3;
[alpha,L] = meshgrid(alpha,L);
Q = zeros(M,C);
% code seem to be wirking well,but since
% I have no idea what your function represents,
% I dont know what to expect. check it yourself
% and see. I may have defined some variables
% wrongly, varify the equations for the qs.
for i = 1:N
phi = i*2*pi*n(i);
q1 = Ph*(1-exp(-phi*alpha));
q2 = Pl*(exp(-phi*alpha)-exp(-phi));
q3 = phi*(i*Zo*Zi*tan(w*Zi*L)/c)+Rv;
Qn = (q1+q2)./q3;
qn = 1-exp(-phi*alpha);
Q = Q + real(Qn.*qn/phi);
end
figure(1)
surf(alpha,L,Q)
figure(2)
plot(Q,'linewidth',2)
grid
a = title('qloss(alpha,L)');
set(a,'fontsize',14);
a = ylabel('q');
set(a,'Fontsize',14);
a = xlabel('alpha,L');
set(a,'Fontsize',14);
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