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-2 section-2

A discrete memory less source has two symbols x₁ and x₂ with probabilities p(x₁) and p(x₂) respectively, then the entropy of the source H(X) is

A) H(X) = p(x₁)log₁₀p(x₁) + p(x₂)log₁₀p(x₂) B) H(X) = -p(x₁)log₁₀p(x₁) - p(x₂)log₁₀p(x₂) C) H(X) = -p(x₁)log₂p(x₁) - p(x₂)log₂p (x₂) D) H(X) = p(x₁)log₂p(x₁) + p(x₂)log₂p(x₂)

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Answer & Solution

Answer: Option C

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Capacity of each channel in FDMA is given by

A) $$C = W.{\log _2}\left( {1 + \frac{S}{N}} \right)$$ B) $$C = M.{\log _2}\left( {1 + \frac{S}{N}} \right)$$ C) $$C = \frac{W}{M}{\log _2}\left( {1 + \frac{S}{N}} \right)$$ D) $$C = {\log _2}\left( {1 + \frac{S}{N}} \right)$$

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Answer & Solution

Answer: Option C

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The channel capacity under the Gaussian noise environment for a discrete memory less channel with a bandwidth of 4 MHz and SNR of 31 is.

A) 20 Mbps B) 4 Mbps C) 8 kbps D) 4 kbps

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Answer: Option A

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Conveniently information I(x) is expressed as:

A) (-) log₁₀ p(x) Hartleys B) log₁₀ p(x) Hartleys C) log₂ p(x) Hartleys D) 2log₁₀ $$\frac{1}{{{\text{p}}\left( {\text{x}} \right)}}$$ Hartleys

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Answer & Solution

Answer: Option A

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Match List-I with List-II and select the correct answer using the options given below the lists:

List-I	List-II
a. Entropy coding	1. McMillan's Rule
b. Channel capacity	2. Redundancy
c. Minimum length code	3. Shannon Fano
d. Equivocation	4. Shannon law

A) a-1, b-2, c-3, d-4 B) a-3, b-4, c-1, d-2 C) a-1, b-4, c-3, d-2 D) a-3, b-2, c-1, d-4

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Answer: Option B

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Find the channel capacity (in MHz), if the channel bandwidth is 20MHz having signal to noise ratio 1023dB?

A) 200 B) 40 C) 100 D) 2000

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Answer: Option A

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Consider a noisy binary channel with bit error probability p_e = 5 × 10^-5. Assume 10000 bits are being transmitted over such a channel. The probability that there will be 2 or less number of bits in error is

A) 10^-4 B) ∼0.5 C) ∼1 D) 10⁴

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Answer & Solution

Answer: Option C

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A communication channel with AWGN operating at a signal to noise ratio SNR >> 1 and bandwidth B has capacity C₁. If the SNR is doubled keeping B constant, the resulting capacity C₂ is given by

A) C₂ ≈ 2C₁ B) C₂ ≈ C₁ + B C) C₂ ≈ C₁ + 2B D) C₂ ≈ C₁ + 0.3B

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Answer & Solution

Answer: Option B

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An event has two possible outcomes with probability $${P_1} = \frac{1}{2},\,{P_2} = \frac{1}{{64}}.$$ The rate of information with 16 outcomes per second is:

A) $$\frac{{38}}{4}{\text{bits/sec}}$$ B) $$\frac{{38}}{{64}}{\text{bits/sec}}$$ C) $$\frac{{38}}{2}{\text{bits/sec}}$$ D) $$\frac{{38}}{{32}}{\text{bits/sec}}$$

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Answer: Option A

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An analog signal is band limited to 4 kHz. It is sampled at the Nyquist rate and samples are quantized into 4 levels. The quantization levels have probabilities $$\frac{1}{8},\,\frac{1}{8},\,\frac{3}{8}$$ and $$\frac{3}{8}.$$ The information rate of the source is:

A) 15400 bps B) 4000 bps C) 14400 bps D) 16000 bps

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Answer & Solution

Answer: Option C

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