Information Theory And Coding MCQs with Answers 2027

Q141

A source generates four messages with probability

\frac{1}{8}, \frac{1}{8}, \frac{1}{4}

and

\frac{1}{2} .

What is the entropy of the source (bits/message)?

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Q142

Open question

A source has two symbols x₁ and x₂ with probabilities P₁ and P₂ respectively. If a new source, with four symbols is generated from the above source, then the new symbol probabilities will be (ε is a number such that 0 < ε < 1)

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Q143

Open question

A digital communication system transmits a block of N bits. The probability of error in decoding a bit is α. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous is

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Q144

Open question

An Ideal power limited communication channel with additive white Gaussian noise with 1 MHz band width and Signal to Noise ratio of 15 is transmitting the information at theoretical maximum rate. If the Signal to Noise ratio is reduced to 7, how much bandwidth is required to maintain same rate:

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Q145

Open question

The input to a channel is a band-pass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by Y(t) =

(\frac{1}{100})

cos(100t - 10^-6)cos(10⁶t - 1.56)
The group delay (t_g) and the phase delay (t_p) in seconds, of the channel are

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Q146

Open question

Consider a discrete memory-less source with source alphabet, S = {S₀, S₁, S₂, S₃, S₄} with respective probabilities of P = {0.4, 0.2, 0.2, 0.1, 0.1}. Find the average code word length

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Q147

Open question

Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below:
If the detection threshold is 1, the BER will be
Information Theory and Coding mcq question image

Information Theory and Coding mcq question image

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Q148

Open question

The channel capacity is measured in terms of:

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Q149

Open question

As per Shannon's channel capacity theorem, if samples are transmitted in 'T' seconds over a noisy channel which is bandlimited to 'B' Hz. The number of samples 'n' is given by (Symbols/notations carry their usual meaning)

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Q150

Open question

In communication system a trade-off can be made between transmission bandwidth and

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Q151

Open question

Channel capacity of a noise-free channel having M symbols is given by:

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Q152

Open question

We wish to transmit a digital voice at 32 kbps through a communication channel having bandwidth of 3000 Hz. The received signal to noise power ratio is 30 dB. State which of the following statement is true:

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Q153

Open question

A radio channel has a bandwidth of 10 kHz and S/N ratio of 15 dB. The maximum data rate that can be transmitted is:

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Q154

Open question

Source S₁ produces 4 discrete symbols with equal probability.
Source S₂ produces 6 discrete symbols with equal probability.
If H₁ and H₂ are the entropies of sources S₁ and S₂ respectively, then which one of the following is correct?

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Q155

Open question

In communication system, if for a given rate of information transmission requires channel bandwidth B₁ and signal-to-noise ratio SNR₁. If the channel bandwidth is doubled for same rate of information, then the new signal-to noise ratio will be

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Q156

Open question

The probabilities of the five possible outcomes of an experiment are given as:

\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \frac{1}{16}

If the source produces 16 symbols per second, then the rate of information would be equal to

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Q157

Open question

A discrete zero memory information source has 40 symbols and each symbol is equally likely. The minimum number of bits required to code the source with uniform length code and the entropy of the source are respectively.

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Q158

Open question

A memoryless source emits n symbols each with a probability p. The entropy of the source as a function of n

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Q159

Open question

For a system having 16 distinct symbols, maximum entropy is obtained when probabilities are:

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Q160

Open question

Redundancy in communication system

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