Information Theory And Coding MCQ Questions & Answers

Information Theory And Coding MCQ Questions & Answers | ECE

Learn Information Theory And Coding MCQ questions & answers are available for a Electronics and Communications Engineering(ECE) students to clear GATE exams, various technical interview, competitive examination, and another entrance exam. Information Theory And Coding MCQ question is the important chapter for a Electronics and Communications Engineering(ECE) and GATE students. Page-1 section-3

Consider the entropy of a random variable X is 16 bits and for each value of X, a deterministic function Y(X) produces a diverse value. Then the entropy of Y is . . . . . . . . bits.

A) 0 B) 16 C) 8 D) Cannot be determined from the given data

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Answer & Solution

Answer: Option B

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The Hartley shannon theorem sets a limit on the

A) Highest frequency that may be sent over a given channel B) Maximum capacity of a channel with a given noise level C) Maximum number of coding levels in the channel with a given noise level D) Maximum numbers of quantizing levels in a channel of a given bandwidth

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Answer: Option B

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Information content of a message with probability P is defined by the equation

A) I = k log₂$$\left( {\frac{1}{{\text{P}}}} \right)$$ B) I = k log₂(P) C) I = k log₂$$\left( {\frac{1}{{{\text{2P}}}}} \right)$$ D) I = k log₂$$\left( {\frac{1}{{{{\text{P}}^2}}}} \right)$$

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Answer: Option A

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A given source will have maximum entropy if all the massage produced are

A) statistically independent B) equiprobable C) mutually exclusive D) having finite power

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Answer: Option B

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Significance of channel coding theorem due to Shannon lies in the fact that

A) rs > C bpsec B) r = C C) rs = C D) exchange of code rate r and error probability Pe

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Answer: Option A

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If the BW of 8 KHz white bandlimited Gaussian SNR is 25 dB the channel capacity is:

A) 2.40 kbps B) 53.26 kbps C) 66.47 kbps D) 26.84 kbps

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Answer: Option C

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In order to permit the selection of 1 out of 16 equiprobable events, what is the number of bits required?

A) 8 B) 4 C) log₁₀16 D) 2

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Answer: Option B

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By properly coding and grouping longer sequence, it is possible to

A) increase efficiency B) reduce delay in transmission C) increase delay D) make H = C

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Answer: Option A

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The channel capacity is

A) The maximum information transmitted by one symbol over the channel B) Information contained in a signal C) The amplitude of the modulated signal D) Entire bandwidth available

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Answer: Option A

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A binary symmetric channel (BSC) has a transition probability of $$\frac{1}{8}.$$ If the binary transmit symbol X is such that $${{\text{P}}_{\left( {{\text{X}} = {\text{0}}} \right)}} = \frac{9}{{10}},$$ then the probability of error for an optimum receiver will be

A) $$\frac{7}{{80}}$$ B) $$\frac{{63}}{{80}}$$ C) $$\frac{9}{{10}}$$ D) $$\frac{1}{{10}}$$

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Answer & Solution

Answer: Option D

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