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# GATE EE 2021 : Signals and Systems Quiz 8 (App update required to attempt this test)

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Question 1

Find energy (in joules) of the signal x(t) = 5sinc ?

Question 2

Let X(ω) denote the fourier transform of the signal x(t) depicted in the figure below. Find X(0) = ?

Question 3

Consider the signals given below:

x_{1}(t) = δ(t + 1) – δ(t – 1)

x_{2}(t) = r(t + 4) – r(t – 2)

A system g(t) is such that

and the system impulse response is given by

Find the value of y(0) = ______

Where [y(t) = g(t) * h(t)]

Question 4

Find the power of the signal (in Watts) whose frequency bands lies between the frequency range of 10 - 20 Hz for the given signal.

x(t)=10sin(16πt - 30°)+15sin(30πt - 60°)

x(t)=10sin(16πt - 30°)+15sin(30πt - 60°)

Question 5

Calculate

Question 6

The power of the signal x(t) up to second harmonics is______.

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Sep 8ESE & GATE EE

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