Problem 5 Consider the following CT periodic signals, a(t), y(t), and z(t) y(t) AAVv z(t) (a) Determine the fundamental frequency, period, and Fourier series coefficients, ak, for (t) (b) Determine the fundamental frequency, period, and Fourier series coefficients, bk, for (c) Determine the fundamental frequency and period for z(t). Also, using the results of parts(a) and(b), determine the Fourier series coefficients, ck for z(t) Problem 6 Let r(t)be a periodic signal with fundamental period T and Fourier series coefficients ak. Derive the Fourier series coefficients of each of the following signals in terms (a)Od{x(t-T/2)} (b)x(T/4-t)Problem 5 Consider the following CT periodic signals, x(t), y(t), and z(t). x(t) 1 − t 6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 y(t) −6 −4 −2 2 4 6 1 −1 t z(t) −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 1 −1 t (a) Determine the fundamental frequency, period, and Fourier series coefficients, ak, for x(t). (b) Determine the fundamental frequency,period, and Fourier series coefficients, bk, for y(t). (c) Determine the fundamental frequency and period for z(t). Also, using the results of parts (a) and (b), determine the Fourier series coefficients, ck for z(t). Problem 6 Let x(t) be a periodic signal with fundamental period T and Fourier series coefficients ak. Derive the Fourier series coefficients of each of the following signals in terms of ak: (a) Od{x(t − T/2)} (b) x(T/4 − t) 2