1
GATE ECE 2022
Numerical
+2
-0

The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities are as marked. The parameter $$\alpha$$ lies in the interval [0.25, 1]. The value of .. for which the capacity of this channel is maximized, is __________ (rounded off to two decimal places).

GATE ECE 2022 Communications - Fundamentals of Information Theory Question 8 English

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2
GATE ECE 2022
Numerical
+2
-0

Consider communication over a memoryless binary symmetric channel using a (7, 4) Hamming code. Each transmitted bit is received correctly with probability (1 $$-$$ $$\in$$), and flipped with probability $$\in$$. For each codeword transmission, the receiver performs minimum Hamming distance decoding, and correctly decodes the message bits if and only if the channel introduces at most one bit error. For $$\in$$ = 0.1, the probability that a transmitted codeword is decoded correctly is __________ (rounded off to two decimal places).

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3
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. GATE ECE 2017 Set 2 Communications - Fundamentals of Information Theory Question 14 English The channel is
A
Lossless
B
Noiseless
C
Useless
D
Deterministic
4
GATE ECE 2016 Set 3
Numerical
+2
-0
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of 4.0 kHz and two-sided noise power spectral density $${\eta \over 2} = 2.5\, \times \,{10^{ - 5}}$$ Watt per Hz. If information at the rate of 52 kbps is to be transmitted over this channel with arbitrarily small bit error rate, then the minimum bit energy $${E_b}$$ (in mJ/bit) necessary is ________________
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