1
GATE ECE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider an additive white Gaussian noise (AWGN) channel with bandwidth $W$ and noise power spectral density $\frac{N_o}{2}$. Let $P_{a v}$ denote the average transmit power constraint. Which one of the following plots illustrates the dependence of the channel capacity $C$ on the bandwidth $W$ (keeping $P_{a v}$ and $N_0$ fixed)?

A
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 1
B
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 2
C
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 3
D
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 4
2
GATE ECE 2025
Numerical
+1
-0

The generator matrix of a $(6,3)$ binary linear block code is given by

$$ G=\left[\begin{array}{llllll} 1 & 0 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1 & 1 & 0 \end{array}\right] $$

The minimum Hamming distance $d_{\min }$ between codewords equals___________ (answer in integer).

Your input ____
3
GATE ECE 2024
Numerical
+1
-0

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

Your input ____
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memory less binary symmetric channel with crossover probability P?
A
GATE ECE 2017 Set 2 Communications - Fundamentals of Information Theory Question 26 English Option 1
B
GATE ECE 2017 Set 2 Communications - Fundamentals of Information Theory Question 26 English Option 2
C
GATE ECE 2017 Set 2 Communications - Fundamentals of Information Theory Question 26 English Option 3
D
GATE ECE 2017 Set 2 Communications - Fundamentals of Information Theory Question 26 English Option 4
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