Fourier Series using MATLAB

MATLAB CODE:

syms x

n=1:1;

k=1*n;

L=pi;

f1(x)=piecewise(x>pi&<0,-x-pi;x>0&<pi,x+i);

a1=int(f1(x),x,-L,L);

a0=a1/(2*pi);

ak=it(f1(x)*cos(k*x),x,-L,L);

bk=int(f1(x)*sin(k*x),x,-L,L);

a=ak/pi;

b=bk/pi;

F1=a0+sum(a.*(cos(k*pix/L))+b.*(sin(k*pi*x/L)));

please correct my codes.

it says that:

f1(x)=piecewise(x>pi&<0,-x-pi;x>0&<pi,x+i);

↑

Invalid use of operator.

Answer 1

[Paul]

You probably want

f1(x) = piecewise(x < -sym(pi), 0,x < 0,-x-sym(pi), x<=sym(pi), x+sym(pi), x>sym(pi), 0);

You'll find some other typos in your code, like using "it" instead of "int" in the equation for ak and pix instead of pi*x in the equation for F1.

Recommend defining

syms L
L = sym(pi)

and then use L everywhere instead of pi.