1. Show that a sampler is a memoryless, linear, time-varying system. 2. Signal x c (t) = 3 + 2…

1. Show that a sampler is a memoryless, linear, time-varying system.

2. Signal xc(t) = 3 + 2 sin(16πt) + 10 cos(24πt) is sampled at a rate of Fs to obtain the discrete-time signal x[n]. For each of the following sampling rates: (i) determine