The single-tone modulating signal m(t) = Am cos(2nfmt) is used to generate the VSB signal s(t) =aAmAc cos[2n(fc + fm)t] + (1 - a)AmAc cos[2n(fc - fm)t] Where 0 < a < 1. a) Find the in-phase component of s(t). b) Find the quadrature component of s(t). c) If s(t) is applied to a coherent detector, find the output. d) If s(t) + A, cos(2nfet) is applied to an envelope detector, find the output. Comment on whether the message signal can be recovered from the envelope detector output.