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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:

x1(n) = {1, 2, 3}

x2(n) = {–1, 2, 2}

If y(n) = x1(n) * x2(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 3rd 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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