Shannon's Theorem and Shannon's bound - MCQs with answers

Shannon's Theorem and Shannon's bound - MCQs with answers


Q1. For a binary symmetric channel, the random bits are given as

a) Logic 1 given by probability P and logic 0 by (1-P)
b) Logic 1 given by probability 1-P and logic 0 by P
c) Logic 1 given by probability P2 and logic 0 by 1-P
d) Logic 1 given by probability P and logic 0 by (1-P)2

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ANSWER: a) Logic 1 given by probability P and logic 0 by (1-P)



Q2. The channel capacity according to Shannon's equation is

a) Maximum error free communication
b) Defined for optimum system
c) Information transmitted
d) All of the above

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ANSWER: d) All of the above



Q3. For M equally likely messages, M>>1, if the rate of information R > C, the probability of error is

a) Arbitrarily small
b) Close to unity
c) Not predictable
d) Unknown

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ANSWER: b) Close to unity



Q4. For M equally likely messages, M>>1, if the rate of information R <= C, the probability of error is

a) Arbitrarily small
b) Close to unity
c) Not predictable
d) Unknown

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ANSWER: a) Arbitrarily small



Q5. The negative statement for Shannon's theorem states that

a) If R > C, the error probability increases towards Unity
b) If R < C, the error probability is very small
c) None of the above
d) Not applicable

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ANSWER: a) If R>C, the error probability increases towards Unity



Q6. According to Shannon Hartley theorem,

a) the channel capacity becomes infinite with infinite bandwidth

b) the channel capacity does not become infinite with infinite bandwidth

c) Has a tradeoff between bandwidth and Signal to noise ratio

d) Both b) and c) are correct

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ANSWER: d) Both b) and c) are correct


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