Derivation of Linearity for CT signals by Xiaodian Xie
Suppose z(t) = {ax(t)+by(t)}, then the fourier transform of z is z(w)=d^(-1)/dt((ax(t)+by(t))*exp(-jwt))
so z(w)=d^(-1)/dt(ax(t)*exp(-jwt)))+d^(-1)/dt(by(t)*exp(-jwt)))
So z(w)=ax(w)+by(w)
