Two signals , each with a Fourier transform that is zero for | ω |> , are to be combi...

Two signals , each with a Fourier transform that is zero for | ω |> , are to be combined using frequency-division multiplexing. The AM-SSB/SC technique of Figure 8.21 is applied to each signal in a manner that retains the lower sidebands. The carrier frequencies used for , respectively. The two modulated signals are then summed together to obtain the FDM signal y(t).

(a) For what values of ω is Y(jω) guaranteed to be zero?

(b) Specify the values of A and so that Where ∗ denotes convolution.