Consider the quadrature-carrier multiplex system of Figure. The

Consider the quadrature-carrier multiplex system of Figure. The multiplexed signal s (t) produced at the transmitter output in Figure a is applied to a communication channel of frequency response H (A?). The output of this channel is, in turn, applied to the receiver input in Figure b. Prove that the condition H (A?c + A?) = H* (A?c – A?), 0 < a?=””>< w=”” is=”” necessary=”” for=”” recovery=”” of=”” the=”” message=”” signals=”” m1=”” (t)=”” and=”” m2=”” (t)=”” at=”” the=”” receiver=”” outputs;=”” a?c=”” is=”” the=”” carrier=”” frequency,=”” and=”” w=”” is=”” the=”” message=””>