Note: for all continuous time signals x(t), time t = R; for all discrete time signals x[k], time index k Z. For the following periodic continuous time signal x(t) = ( 2 rect(t - 2m) - 1 m=-x (a) Find out its period T, base frequency fo, energy E, and power P. Check if the signal x(t) is a even function or a odd function. (b) Compute the Fourier series coefficients an, bn, X[n]. (c) Plot the time signal plot and the frequency plots, which include the magnitude and phase spec- trums. (d) Define the sub-power N PN = |X [n]|2 n=-N and compute P, P5 and P10. Report the numeric values and round the numbers to two decimals. State what do you observe between the sequence {PN} and the power P.