Fourier Transform of the Modulated Signal
The Fourier transform of the modulated signal g consists of two shifted and scaled
copies of the transform of f, superposed on each other (i.e. added). The shifting
left and right is by the amount
= 30:
> FTRg := omega->evalf(int(g(x)*cos(omega*x),x=0..4));
> FTIg := omega->evalf(int(g(x)*sin(omega*x),x=0..4));
> FPSg := omega->sqrt(FTRg(omega)^2+FTIg(omega)^2);
> plot(FPSg(omega),omega=-50..50,numpoints=200);
>