Information Theory And Coding MCQ Questions & Answers

81

In a communication system each message (0 or 1) is transmitted three times in order to reduce the probability of error. The detection is based on the majority rule at the receiver. If p_e is the probability of bit error, the probability of error for this communication system is

A) $$3{\text{p}}_{\text{e}}^2 - 2{\text{p}}_{\text{e}}^3$$ B) $$1 - {\text{p}}_{\text{e}}^2 - {\text{p}}_{\text{e}}^3$$ C) $${\text{p}}_{\text{e}}^3$$ D) $${\text{p}}_{\text{e}}^2\left( {1 - {{\text{p}}_{\text{e}}}} \right)$$

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Answer & Solution

Answer: Option A

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82

Consider a source with four symbols. The entropy of the source will be maximum when probabilities of occurrence of symbols are:

A) $$\left\{ {1,\,0,\,0,\,0} \right\}$$ B) $$\left\{ {\frac{1}{4},\,\frac{1}{4},\,\frac{1}{4},\,\frac{1}{4}} \right\}$$ C) $$\left\{ {\frac{1}{2},\,\frac{1}{4},\,\frac{1}{8},\,\frac{1}{8}} \right\}$$ D) $$\left\{ {\frac{1}{3},\,\frac{1}{3},\,\frac{1}{3},\,0} \right\}$$

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Answer: Option B

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83

A source generates one of the five symbols s₁, s₂, s₃, s₄ and s₅ once in every $$\frac{1}{{60}}$$ second. The symbols are assumed to be independent and occur with probabilities $$\frac{1}{4},\,\frac{1}{4},\,\frac{1}{4},\,\frac{1}{8}\& \frac{1}{8}.$$ The average information rate of the source in bits/second is:

A) 100 B) 125 C) 135 D) 150

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Answer & Solution

Answer: Option C

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84

The relation between entropy and mutual information is

A) I(X ; Y) = H(X) - H(X/Y) B) I(X ; Y) = H(X/Y) - H(Y/X) C) I(X ; Y) = H(X) - H(Y) D) I(X ; Y) = H(Y) - H(X)

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Answer & Solution

Answer: Option A

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85

Blocking probability of a 3 stage switch in term of inlet utilization P

A) B = [1 - (1 - P/β)²]^K B) B = [(1 - P/β)²]^K C) B = [(1 - P/β)²] D) B = [(1 - P/β)² - 1]^K

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Answer & Solution

Answer: Option A

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86

A communication channel with Additive white Gaussian Noise, has a bandwidth of 4 kHz and SNR of 31 dB. Its channel capacity is

A) 1.6 kbps B) 20 kbps C) 32 kbps D) 256 kbps

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Answer: Option B

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87

Discrete source S₁ has 4 equiprobable symbols while discrete source S₂ has 16 equiprobable symbols. When the entropy of these two sources is compared, entropy of

A) S₁ is greater than S₂ B) S₁ is less than S₂ C) S₁ is equal to S₂ D) Depends on rate of symbols/second

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Answer & Solution

Answer: Option B

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88

Information is

A) the synonym of probability B) not related to the probability of information C) inversely proportional to the probability of information D) directly proportional to the probability of information

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Answer & Solution

Answer: Option C

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89

Which statement is not correct?

A) When the probability is zero the information conveyed is zero B) When the probability is one the information conveyed is zero C) When the probability are equal the entropy is maximum D) When the probability are equal the entropy is minimum

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Answer: Option D

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90

A communication channel has a bandwidth of 100 MHz. The channel is extremely noisy such that the signal power is very much below the noise power. What is the capacity of this channel?

A) 100 Mbps B) 50 Mbps C) 2400 Mbps D) Nearly 0 bps

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Answer: Option D

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Information Theory And Coding MCQ Questions & Answers | ECE