A periodic signal is given by the equation x (t) = 2 + 4 cos (40 ? t - ?/5) + 3 sin (60 ? t) + 4 cos (120 ? t - ?/3)
A. Determine the fundamental frequency w0, the period t0, and the coefficients in the representation X(t) = x0 + Re{(sigma)k=1N Xkejkwot} for the above input.
C. Now consider a new signal y(t) = x(t) + 10 cos (50 pi t - pi/6). How is the spectrum changed? Is y(t) periodic? If so, what is the period?