b) A PCM system uses 2 bits per codeword. No codeword spans the 0 volt level. The quantization gap, q, is volt. Sketch this system, and show how it would quantize and then encode x(t) = A.cos(o.t) where A=1 volt, and o = 2. II radians/sec. The sampling frequency is fs = 4Hz. State the first 4 codewords produced. Evaluate the mean square error voltage that results from quantizing the first 4 samples only. Evaluate the quantizing noise power for the system described (ignoring the signal). Find the SQNRAB if the input signal is a random signal for which the signal power is 1 volt.

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