1
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 ____
2
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 ____
3
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
B
C
D
4
GATE ECE 2017 Set 1
Numerical
+1
-0
Let $$\left( {{X_1},\,{X_2}} \right)$$ be independent random variables, $${X_1}$$ has mean 0 and variance 1, while $${X_2}$$ has mean 1 and variance 4. The mutual information I $$\left( {{X_1},\,{X_2}} \right)$$ between $${{X_1}}$$ and $${{X_2}}$$ in bits is ________________.
Your input ____
Questions Asked from Fundamentals of Information Theory (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics