Complete GATE ECE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Question 43

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ECMCQ2 marksNeeds review
Let

be a complex variable. If

and

is the circle in the complex plane with

then

is ______.
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Question 44

Open question
ECMCQ2 marksNeeds review
Consider two continuous time signals

and

as shown below.
Diagram for Electronics and Communication Engineering question 44

If

denotes the Fourier transform of

, then the Fourier transform of

is ______.
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Question 45

Open question
ECMCQ2 marksNeeds review
A source transmits a symbol

, taken from

with equal probability, over an additive white Gaussian noise channel. The received noise symbol

is given by

, where the noise

is zero mean with variance 4 and is independent of

. Using

, the optimum symbol error probability is ______.
Your answerChoose one option.

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