Answer the question

Consider a PAM basedband system in which the modulator is defined by a signal interval T and a waveform p(t), the channel is defined by a filter h(t), and the receiver is defined by a filter q(t) which is sampled at T-spaced intervals. The received waveform, after the receiver filter q(t), is then given by g(t) = p(t) * h(t) * q(t) (1) What property must g(t) have so that r(kT)=uk for all k and for all choices of input (uk)? What is the Nyquist criterion for g(f)? (2) Now assume that T=1/2 and that p(t), h(t), q(t) and all their Fourier transforms are restricted to be real. Assume further that p(f) and h(f) are specified by Figure 1 as following. Is it possible to choose a receiver filter q(f) so that there is no intersymbol interference? If so, give such a q(f). If not possible, why? IfI S 0.5; 1. If| 1.5 1, 1 1.25 p(f) P(f) h( f ) h(s) 0 0