a) Determine the z-transform of the following signals and sketch the z-plane graph and ROC for each signal: i. x1[n] = ()-"u[-n] + 3"u[=n – 1] ii. x2[n] = 2"cos (Won)u[n] iii. x3[n] = 2"nu[n] + 3"nu[-n – 1]

Determine the Fourier transform of a signal with g(t) = At/B between t = 0 and t = B and g(t) = 0 elsewhere. Then find the Fourier transform of the following signal, which is a special case of the g(t): f(t) 1 0 1 t

Show that d() = ñ[6(w − K) + 6(w + K)] is the Fourier transform of cos (Kt).