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1. An analog signal is given by v(t) = 10Vsin(2 TT 450t) + 3Vsin(2 π 600t +300°)+7Vsin(2m1100t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of -11.6V?

1. An analog signal is given by v(t) = 10Vsin(2 TT 450t) + 3Vsin(2 π 600t +300°)+7Vsin(2m1100t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of -11.6V?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1. An analog signal is given by v(t) = 10Vsin(2 TT 450t) + 3Vsin(2 π 600t + 300°) + 7Vsin(2T1100t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of -11.6V? d) If a receiver was decoding the incoming bit stream of 10100, what voltage level would be recovered?
Transcribed Image Text:1. An analog signal is given by v(t) = 10Vsin(2 TT 450t) + 3Vsin(2 π 600t + 300°) + 7Vsin(2T1100t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of -11.6V? d) If a receiver was decoding the incoming bit stream of 10100, what voltage level would be recovered?
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