A message signal m(t) = sinc2 (100 pi t) sin(200 pi t) modulates a carrier at fc = 1000 Hz by the LSB scheme. (a) Determine the LSB signal LSB(t) and its bandwidth. (b) If the LSB signal is transmitted through a channel that only introduces a 0.3 ms delay, and the oscillator at the LSB receiver produces a local carrier 2 cos(2 pi fct), determine the receiver output signal y(t).