Instructions: Problems 1,2,3,4 are to be submitted. If you have handwritten your solutions, please scan them or take pictures with a good camera (CamScanner is a good app for doing this via your phone). Please convert your files to a single pdf file before uploading. Please name the file as follows: MatricNo-First Name-Last Name-Problem-Set-X.pdf, and upload your file in the appropriate assignment in Canvas. = Q1. Given the signal m(t) 10 cos(8200πt) cos(8000πt), find the minimum sampling rate required for perfectly reconstructing the signal. Q2. A channel with maximum allowable bit rate of 36000 bits/sec is available for PCM voice transmission. Find the appropriate values of the sampling rate fs, the number of quantization levels q, and the number of binary digits n per sample, assuming that the bandwidth of the message signal is 3.2 kHz. Q3. What is the resulting Signal to Quantization Noise Ratio (SQNR) for a signal uniformly distributed on [1, 1] when uniform PCM with 256 levels is employed? Note that SQNR is defined as the ratio of Average Signal Power to Average Noise Quantization Noise Power. Q4. Consider the signal x(t) = 9+10 cos(200πt). Find the quantization interval and the minimum sampling frequency for PCM, when the number of quantization levels is 64.

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