Consider the periodic modulating signal shown below. For a carrier frequency of ωc = 8π [rad/s], find: (a) Sketch the full AM signal for a modulation index of 0.5, and ∞. (b) If the signals in (a) are passed through a peak detector, sketch the signals at the output of the detector. (c) Determine the power efficiency in each case of part (a). (d) Determine the bandwidth of the AM signal.