Fourier Coefficients Discrete-Time Signal - Exemplo Resolvido

63 Determine the Fourier coefficients for the periodic sequence xn shown in Fig 67 From Fig 67 we see that xn is the periodic extension of 0 1 2 3 with fundamental period N0 4 Thus Omega0 2 pi 4 and ej Omega0 ej 2 pi 4 ej pi 2 j By Eq 68 the discretetime Fourier coefficients ck are c0 14 sumn03 xn 14 0 1 2 3 32 c1 14 sumn03 xnjn 14 0 j1 2 j3 12 j 12 c2 14 sumn03 xnj2n 14 0 1 2 3 12 c3 14 sumn03 xnj3n 14 0 j1 2 j3 12 j 12 Note that c3 c41 c1 Eq 617