Digitization of signals Consider the analog signal s(t) =5sin(500t +p 5)+ cos(200t +p 4) to be transferred over a digitalcommunications system. (a) Compute the maximum allowable samplingperiod that the analog-to-digital converter (ADC) must use toensure the perfect reconstruction of the signal at the receiver.(b) What theorem governs the choice made in part (a)? (c) How manysamples of the analog signal do we need to store in order toreproduce 10p seconds of it (i.e., the analog signal)? (d) UseMATLAB code to verify whether or not the samples collected can beused to uniquely reproduce the analog signal.