The single-tone modulating signal m (t) = A m cos (2 m t), is used to generate

The single-tone modulating signal m (t) = A_m cos (2πƒ_mt), is used to generate the VSB signal, where a is a constant, less than unity, representing the attenuation of the upper side frequency.

(a) Find the quadrature component of the VSB signal s (t).

(b) The VSB signals, plus the carrier A_c cos (2πƒ_ct) is passed through an envelope detector. Determine the distortion produced by the quadrature components.

(c) What is the value of constant a for which this distortion reaches its worst possible condition?