MATLAB: How to calculate fourier coefficients in Matlab

Hello

Can anybody help me with this assignment because i really have no idea to do it. I only finished first part of assignment where i do not need Matlab

Best Answer

Dear Javid, here is the code for your problem:

A = input('Enter value of A:');
B = input('Enter value of B:');
D = input('Enter value of D:');
alpha = input('Enter value of alpha:');
beta = input('Enter value of beta:');
gamma = input('Enter value of gamma:');
sigma = input('Enter value of sigma:');
n = input('Enter value of n:');
a0 = A * alpha + B * (gamma - beta) + D * (1 - sigma);
val = 1:n;
a = (-1 / (pi * val)) * (A * sin(2 * pi * val * alpha) - B * (sin(2 * pi * val * gamma) - sin(2 * pi * val * beta)) - D * (sin(2 * pi * val) - sin(2 * pi * val * sigma)));
b = (1 / (pi * val)) * (A * (cos(2 * pi * val * alpha) - 1) + B * (cos(2 * pi * val * gamma) - cos(2 * pi * val * beta)) + D * (cos(2 * pi * val) - cos(2 * pi * val * sigma)));

I hope it is what you need. Good luck!

Related Solutions

MATLAB: Is it so hard for MATLAB to solve the following symbolic equation

This seems to work

syms rp alpha beta theta psi z
A=cos(alpha)-cos(beta);
B=sin(alpha)-sin(beta);
C=(cos(beta)-1)/tan(beta)-(cos(alpha)-1)/tan(alpha);
R=A*(cos(theta)-cos(psi))+B*cos(theta)*sin(psi);
S=A*sin(theta)*sin(psi)-B*cos(theta)+C*cos(psi);
phi=atan(-R/S);
x=-rp*(cos(theta)*cos(phi)+sin(psi)*sin(theta)*sin(phi))*cos(alpha)-rp*(-cos(theta)*sin(phi)+sin(psi)*sin(theta)*cos(phi))*sin(alpha)+(rp/tan(alpha))*(cos(psi)*sin(phi)*(cos(alpha)-1)+cos(psi)*cos(phi)*sin(alpha));
y=-cos(psi)*sin(phi)*rp;
p=[x;y;z];
T=Rot('y',theta)*Rot('x',psi)*Rot('z',phi);
a1=T*[rp;0;0];
a2=T*[rp*cos(alpha);rp*sin(alpha);0];
a3=T*[rp*cos(beta);rp*sin(beta);0];  
Con1=(p+a1)'*[0;1;0];
Con2=(p+a2)'*[-sin(alpha);cos(alpha);0];
Con3=(p+a3)'*[-sin(beta);cos(beta);0];
disp([Con1; Con2; Con3])
function output=Rot(axis,angle)
syms x y z
if axis==x
    output=[1,0,0;0,cos(angle),-sin(angle);0,sin(angle),cos(angle)];
end
if axis==y
    output=[cos(angle),0,sin(angle);0,1,0;-sin(angle),0,cos(angle)];
end
if axis==z
    output=[cos(angle),-sin(angle),0;sin(angle),cos(angle),0;0,0,1];
end
end

MATLAB: How to introduce symbolic variables as input in a script

Run the following. It is exactly what you want:

iteration = 0;
T0n = eye(4);
links = input ('Introduce number of links ');
while iteration<links
        iteration=iteration+1;
        teta=sym(input('teta value\n','s'));
        a=sym(input('a value\n','s'));
        d=sym(input('d value\n','s'));
        alpha=input('alpha value ');
          A=[cos(teta), -cos(alpha)*sin(teta), sin(alpha)*sin(teta), a*cos(teta);
             sin(teta), cos(alpha)*cos(teta), -sin(alpha)*cos(teta), a*sin(teta);
             0,         sin(alpha),           cos(alpha),            d;
             0,         0,                    0,                     1];
         T0n=T0n*A
   end

Best Answer

Related Solutions

MATLAB: Is it so hard for MATLAB to solve the following symbolic equation

MATLAB: How to introduce symbolic variables as input in a script

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