GATE ECE 2020 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

In a digital communication system, a symbol S randomly chosen from the set {s₁, s₂, s₃, s₄} is transmitted. It is given that s₁ = −3, s₂ = −1, s₃ = +1 and s₄ = +2. The received symbol is Y = S + W. W is a zero-mean unit-variance Gaussian random variable and is independent of S. P_i is the conditional probability of symbol error for the maximum likelihood (ML) decoding when the transmitted symbol S = s_i. The index i for which the conditional symbol error probability P_i is the highest is ______.

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A system with transfer function

is subjected to an input 5 cos 3t. The steady state output of the system is

The value of a is ______.

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For the components in the sequential circuit shown below,

is the propagation delay,

is the setup time, and

is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is ____ MHz.

Diagram for Electronics and Communication Engineering question 50

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2020 · Paper 1

Question 48

Question 49

Question 50