Josephood7

3.11. Suppose we are given the following information about a signal x[n]: 1. x[n] is a real and even signal. 2. x[n] has period N = 10 and Fourier coefficients ar. 3. Q11 = 5. 4. To Ślx[n]? = 50. n=0 A cos(Bn+C), and specify numerical values for the constants Show that x[n] = A cos(Bn+C), and specify numer B, and C.

3.16) Determine the output of the filter shown in Figure P3.16 for the following periodic je u inputs: (a) x1[n] = (-1)" (b) x2[n] = i + sin(n + ) (e) x3[n] = x.-(:)*4* u[n - 4k] 

 Let x[n] be a periodic signal with period N = 8 and Fourier series coefficients ak = -ak-4. A signal y[n]) = (1+Q=1)")[n – 1) with period N = 8 is generated. Denoting the Fourier series coefficients of y[n] by bk, find a function f[k] such that bk = f[k]ak

Determine the Fourier series coefficients for each of the following discrete-time signals