Equation Q4 shows a sinusoidal message signal, v(t). v(t) = 2 cos(10000nt) + 5 cos(2 20000nt) ... Equation Q4 A Pulse Code Modulation (PCM) technique which uses a uniform quantizer is applied in converting the v(t) to a binary signal. The signal is sampled at a rate of 15% above the Nyquist for practical reasons and the samples are quantized into 65,536 levels. Based on the digital technique used, a) compute the minimum bandwidth required to encode and transmit the signal b) compute the amount of bandwidth increase in percentage after the information signal has been digitized.
Equation Q4 shows a sinusoidal message signal, v(t). v(t) = 2 cos(10000nt) + 5 cos(2 20000nt) ... Equation Q4 A Pulse Code Modulation (PCM) technique which uses a uniform quantizer is applied in converting the v(t) to a binary signal. The signal is sampled at a rate of 15% above the Nyquist for practical reasons and the samples are quantized into 65,536 levels. Based on the digital technique used, a) compute the minimum bandwidth required to encode and transmit the signal b) compute the amount of bandwidth increase in percentage after the information signal has been digitized.
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Transcribed Image Text:Equation Q4 shows a sinusoidal message signal, v(t).
v(t) = 2 cos(10000nt) + 5 cos(2 + 20000nt).Equation Q4
A Pulse Code Modulation (PCM) technique which uses a uniform quantizer is applied in
converting the v(t) to a binary signal. The signal is sampled at a rate of 15% above the
Nyquist for practical reasons and the samples are quantized into 65,536 levels. Based on
the digital technique used,
a)
compute the minimum bandwidth required to encode and transmit the signal
b)
compute the amount of bandwidth increase in percentage after the information
signal has been digitized.
c)
compute signal-to-quantization noise ratio at the output of the quantizer
if the quantization levels given in Q4(a) have been quartered, compute the new
signal-to-quantization noise ratio at the output of the quantizer
d)
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