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Communication System
Information Theory and Error Control coding

Practice questions from Information Theory and Error Control coding.

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Q#1 Information Theory and Error Control coding GATE EC 2025 (Set 1) MCQ +1 mark -0.33 marks

Consider an additive white Gaussian noise (AWGN) channel with bandwidth  and noise power spectral density . Let  denote the average transmit power constraint.

Which one of the following plots illustrates the dependence of the channel capacity  on the bandwidth  (keeping  and  fixed)?

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Q#2 Information Theory and Error Control coding GATE EC 2025 (Set 1) NAT +1 mark -0 marks

The generator matrix of a  binary linear block code is given by

 

The minimum Hamming distance  between codewords equals _________ (answer in integer).

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Q#3 Information Theory and Error Control coding GATE EC 2025 (Set 1) NAT +2 marks -0 marks

 and  are Bernoulli random variables taking values in . The joint probability mass function of the random variables is given by:

 

 

 

 

The mutual information  is _________ (rounded off to two decimal places).

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Q#4 Information Theory and Error Control coding GATE EC 2024 (Set 1) NAT +1 mark -0 marks

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is _________.

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Q#5 Information Theory and Error Control coding GATE EC 2024 (Set 1) MCQ +2 marks -0.66 marks

The information bit sequence  is to be transmitted by encoding with Cyclic Redundancy Check 4 (CRC-4) code, for which the generator polynomial is . The encoded sequence of bits is ___________.

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Q#6 Information Theory and Error Control coding GATE EC 2023 (Set 1) NAT +2 marks -0 marks

The frequency of occurrence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by asking a series of "yes/no" questions which are assumed to be truthfully answered. The average number of questions when asked in the most efficient sequence, to determine the chosen symbol, is _______ (rounded off to two decimal places).

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