3 Fourier Series Representation of Periodic Signals 3. 2 The Response of LTI Systems to Complex Exponentials (1 Continuous time LTI system x(t=es y(t=H(s)est h (t y(t)=x(1)*h(t Tn(TaT on es(n(t az=estf+oo h(red H(S H(s)=h(r)e dr system function3 Fourier Series Representation of Periodic Signals 3.2 The Response of LTI Systems to Complex Exponentials (1) Continuous time LTI system h(t) x(t)=est y(t)=H(s)est ( ) ( ) ( ) ( ) ( )* ( ) ( ) ( ) ( ) e H s e h d e h e d y t x t h t x t h d s t s t s t s = = = = = −    + − − + − − + −           + − − =    H s h e d s ( ) ( ) ( system function )