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Electronics and Communication Engineering

2021 · Paper 1

Take it one question at a time. Try an answer, then check your understanding.

Complete GATE ECE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 5 of 22

Question 3

Open question
ECMCQ1 markNeeds review
Two continuous random variables

and

are related as

Let

and

denote the variances of

and

, respectively. The variances are related as
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Question 4

Open question
ECMCQ1 markNeeds review
Consider a real-valued base-band signal

, band limited to 10 kHz. The Nyquist rate for the signal

is
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Question 5

Open question
ECMCQ1 markNeeds review
Consider two 16-point sequences

and

. Let the linear convolution of

and

be denoted by

, while

denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point discrete Fourier transforms (DFTs) of

and

. The value(s) of

for which

is/are
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