[GET ANSWER] 1. Find the Nyquist rate and the Nyquist (sampling) interval for each of the following signals:a. (10 points) m(t) = 5 cos(1000?t) cos(4000?t)b. (10 points) m(t) = sinc²(200t)c. (10 points) m(t) = sinc(200t) sinc²(200t)2. A PCM system uses a uniform quantizer followed by a 7-bit binary encoder. The bit rate of the systemis equal to 50 Mbps (1 Mbps = 106 bits/second).a. (10 points) What is the maximum message bandwidth for which the system operatessatisfactory?b. (10 points) Determ
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