201 Problem 6.1 In natural sampling an analog signal g(t) is multiplied by a periodic train of rectangular pulses c(t). Given that the pulse repetition frequency of this periodic train is J, and the duration of each rectangular pulse is 7 (with f, T> 1), do the following: (a) Find the spectrum of the signal s(t) that results from the use of natural sampling; you may assume that time t = 0 corresponds to the midpoint of a rectangular pulse in c(t). (b) Show that the original signal m(t) may be recovered exactly from its natu- rally sampled version, provided that the conditions embodied in the sam- pling theorem are satisfied. Dwihlem 6.1