3 Fourier Series Representation of Periodic Signals (3)Input as a combination of Complex Exponentials Continuous time Lti system x()=∑ae y()=∑akH(Sk)e Discrete time LTI system x{m]=∑ yn=∑akH(=k)=k EXample 3.13 Fourier Series Representation of Periodic Signals (3) Input as a combination of Complex Exponentials Continuous time LTI system: = = = = N k s t k k N k s t k k k y t a H s e x t a e 1 1 ( ) ( ) ( ) Discrete time LTI system: = = = = N k n k k k N k n k k y n a H z z x n a z 1 1 [ ] ( ) [ ] Example 3.1