Tutorial7_solution

# Tutorial7_solution - 1 Tutorial 7 Principles of...

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Principles of Communications 1 Tutorial 7

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Principles of Communications 2 Problem 1 (Gray Code) A signal with dynamic range (-8V, 8V) is applied to a 3 -bit midriser . Assume the samples have the following amplitudes: 4.6V, 0.8V, -0.2V, 1.6V, 3.4V, -6.4V Sketch the resulting sequence of the quantized samples in the form of Gray codes .
Principles of Communications 3 Solution 2 4 6 8 -8 -6 -4 -2 1 3 5 7 -7 -5 -3 -1 input output The quantized values of 4.6V, 0.8V, -0.2V, 1.6V, 3.4V, -6.4V are 5V, 1V, -1V, 1V, 3V, -7V 000 001 011 010 110 111 101 100 Finally, the sequence can be obtained as: 101 110 010 110 111 000 The quantization step size is Δ = 8 ( 8) 2 3 = 2 V A 3-bit Gray code can be generated as: 000 à 000 001 à 001 010 à 011 011 à 010 100 à 110 101 à 111 110 à 101 111 à 100

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Principles of Communications 4 Problem 2 (Binary PAM) A baseband analog signal with bandwidth 3 kHz is sampled with Nyquist sampling rate and applied to a 4-bit quantizer . The bit stream is then sent out using binary PAM .
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