Finding the Fourier Transform of x(t)

[cvanloon]

Hello,

I am having a hard time finding the Fourier transform of a function like this:

x(t)=4+3sin(1.5t)-4cos(2.5t)

How do you do this?

Thanks,

Chris

 

[zhermes]

The Fourier transform is 'linear' i.e. if we call the Fourier-Transform of a function f(x), F(x) then
transform: $$a*f(x) + b*g(x) ==> a*F(x) + b*G(x)$$
The transform of sin, cos or a constant is easy to derive via the definition of the Fourier transform, or you can look it up on wikipedia
http://en.wikipedia.org/wiki/Fourier_transform