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# GATE 2022 : Signals and Systems Quiz- 1 (App update required to attempt this test)

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Question 1

Consider the following two sequences:

x_{1}(n) = {1, 2, 3}

x_{2}(n) = {–1, 2, 2}

If y(n) = x_{1}(n) * x_{2}(n), then the energy of y(n) is ______.

Question 2

The sum of two or more arbitrary sinusoids is

Question 3

The energy contained in the signal x(t) = e

^{–2t}⋅ u(t) in the frequency band –2 ≤*ω*≤ 2 is _______J.Question 4

A time domain energy signal is defined as x(t) with energy equal to 10 J, then the energy of the signal 2x(5t – 6) is equal to _______J.

Question 5

A periodic signal f(t) is shown in the figure below.

The frequency of the 3^{rd} harmonic of its spectrum is ________kHz.

Question 6

A continuous time signal is defined as, .

The fundamental time period of x(t) is

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May 7ESE & GATE EE

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