Answer Happy

In this problem, you are considering a system designed to communicate human voice. To validate your complete system, you create the following test signal. g(t) = 2 +9.cos(211.500t) cos(211 · 2000t) + 2 cos (27.5000t) . a) Provide a complete and well-labeled sketch the magnitude of the signal's spectrum, G(W)]. b) Your first component of your system (i.e., the signal conditioner) removes aspects of this test signal that are not relevant to the intended application. Why would the first term ("2") be removed? Why would the third term ("2. cos (211 · 5000t)") be removed? . c) After signal conditioning, you are left with a signal m(t) that you will be using to test the remainder of your system. What is the full expression for m(t)? What is its power, Pm? d) You are now to sample the signal m(t) at 50% above the Nyquist rate. What is the sampling rate? Show your work. Discuss why, in practice, signals are over-sampled. Accompany your discussion with a figure(s) illustrating what is happening in the frequency domain.