maxima_fourier-transform-pulse-unit-impulse
Fourier transform
integrate(h(x)*exp(-%i*2*%pi*(y*x)),x,-inf,inf);
unit impulse
h(x):= unit_step( x+(1/2) ) - unit_step( x-(1/2) ); plot2d(h(x), [x,-10,10],[y, -1, 2]);
Example:
integrate(1*exp(-%i*2*%pi*(y*x)),x,-1/2,1/2); realpart(%); plot2d(%, [y,-10,10]);
