Fourier cosine series of a vector

Hi guys,

I have a vector f1 and i need to find the coefficients of the cosine series of f1 for at least 8 harmonics. Any help would be highly appreciated.

Thank you

Masoud

Answer 1

[Charan Jadigam]

Hi,

Fourier Cosine Coefficients of the vector can be found using ‘Fit’ function. You can do so by,

>> fit(t1',f1','fourier8')

You can know more about the function and it’s parameters here.

[masoud meskin]

Hi Charan,

I knew about the "Fit" command and the application. But it gives combination of Sine and Cosine.

Is it going to be different from when i take the fourie cosine directly by codes like this (I found it on the internet):

syms x k n
evalin(symengine,'assume(k,Type::Integer)');
f = x
a = @(k) 2*int(x*cos(k*pi*x),x,0,1);
fourier_cosine_partial_sum = @(x,n) a(0)/2 + ...
   symsum(a(k)*cos(k*pi*x),k,1,n);)

Sorry if my question is stupid.

Thank you

Masoud