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How to convert the attached equations in Matlab?

3 vues (au cours des 30 derniers jours)
Sadiq Akbar
Sadiq Akbar le 2 Mar 2024
Commenté : Sadiq Akbar le 3 Mar 2024
I have two equations which I have attached in the attachment here. I want to convert them in Matlab code. But how? I tried but in vain. I don't know why it cannot be coded? The required desired vector u is given belwo:
u=[1 2 0.1 0.1 3 4 30 40 50 60];% u=[a1 a2 r1 r2 f1 f2 theta1 theta2 phi1 phi2];
fmax=10;
m=1:5;
n=m;
As you can see the values of ap in given equations have 1st two values inside u namely 1 and 2. Likewise, the values of rp in given equations have 3rd and 4th values inside u. Similarly, the fp in given equations have values 3 and 4 inside u. Likewise, the values of thetap are 30 and 40 inside u and the values of phip are 50 and 60 inside u.
I want to find the values of xo and yo in MATLAB?

Réponse acceptée

Torsten
Torsten le 2 Mar 2024
Modifié(e) : Torsten le 2 Mar 2024
I'm not sure if you mean m.^2.*f.^2./16.*r or m.^2.*f.^2./(16.*r) in your equations.
I assumed that your equations.png is correct.
u=[1 2 0.1 0.1 3 4 30 40 50 60];
a = u(1:2);
r = u(3:4);
f = u(5:6);
theta = u(7:8);
phi = u(9:10);
fmax=10;
m=(1:5).';
xo = sum(a.*exp(-1i*((pi/fmax).*(-m.*f/2).*sind(theta).*cosd(phi)+m.^2.*f.^2./16.*r).*(1-sind(theta).^2.*cosd(phi).^2)),2)
xo =
2.9880 + 0.2678i 2.9975 + 0.0768i 2.9297 - 0.5680i 2.4816 - 1.5650i 1.3000 - 2.4949i
yo = sum(a.*exp(-1i*((pi/fmax).*(-m.*f/2).*sind(theta).*sind(phi)+m.^2.*f.^2./16.*r).*(1-sind(theta).^2.*sind(phi).^2)),2)
yo =
2.9647 + 0.4489i 2.9507 + 0.5263i 2.9889 + 0.2358i 2.9693 - 0.4278i 2.6463 - 1.4077i
  7 commentaires
Torsten
Torsten le 3 Mar 2024
Modifié(e) : Torsten le 3 Mar 2024
But in this the final err is a row vector instead of a single zero value. I don't know why?
m and n are 5x1 vectors. Dividing a scalar by a 5x1 vector gives a 1x5 vector:
x = 0;
y = (1:5).';
x/y
ans = 1×5
0 0 0 0 0
Sadiq Akbar
Sadiq Akbar le 3 Mar 2024
Thanks a lot for your guiadance.

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