The following block diagram is used to generate an AM (DSB) signal. The modulating signal m(t) = cos 2n fmt is given. a) Express y(t) in terms of the modulating signal m(t) and the carrier c(t). b) Specify the filter characteristics that yield an AM (DSB) signal at its output. c) Find the modulation index and the carrier frequency? d) Propose a method to reduce transmission bandwidth of the system. e) Explain the difference between the designed system and classical VSB? y(t) memoryless system m(t) x(t) Nonlinear u(t) Linear filter AM signal c(t) = cos (2nfot) y(t) = ax(t) + bx2(t)