Q1) An information source can be modeled as a bandlimited process with a bandwidth of 6000 Hz. This process is sampled at a rate higher than the Nyquist rate to provide a guard band of 2000 Hz. It is observed that the resulting samples take values in the set A = {-4,–3,–1, 2, 4, 7} with probabilities 0.2, 0.1, 0.15, 0.05, 0.3, 0.2. What is the entropy of the discrete-time source in bits/symbol? What is the entropy in bits/sec?

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Q1) An information source can be modeled as a bandlimited process with a
bandwidth of 6000 Hz. This process is sampled at a rate higher than the Nyquist
rate to provide a guard band of 2000 Hz. It is observed that the resulting
samples take values in the set A = {-4,-3,–1, 2, 4, 7} with probabilities 0.2,
0.1, 0.15, 0.05, 0.3, 0.2. What is the entropy of the discrete-time source in
bits/symbol? What is the entropy in bits/sec?
Transcribed Image Text:Q1) An information source can be modeled as a bandlimited process with a bandwidth of 6000 Hz. This process is sampled at a rate higher than the Nyquist rate to provide a guard band of 2000 Hz. It is observed that the resulting samples take values in the set A = {-4,-3,–1, 2, 4, 7} with probabilities 0.2, 0.1, 0.15, 0.05, 0.3, 0.2. What is the entropy of the discrete-time source in bits/symbol? What is the entropy in bits/sec?
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