Chapter 3 Fourier series Example 3.2 ,水k2t k=-3 ao= a1,=1/4 2 1/2,a,=1/ ±3 3 Example Consider an LTI system for which the input x()=1+-cos2rt and the impulse response h(t=e" u(t)determine the outputy(t y()=1+ jeTt e e 1+i2丌 1-j2丌 55 Chapter 3 Fourier Series Example 3.2 ( ) jk t k k x t a e 2 3 3   + =− =     = = = =    1/ 2 , 1/ 3 1 , 1/ 4 2 3 0 1 a a a a Example : Consider an LTI system for which the input and the impulse response determine the output x(t) cos 2t 2 1 =1+ h(t) e u(t) −t = y(t) ( ) 2 2 1 1 4 4 1 1 2 1 2 j t j t y t e e j j     − = + + + −