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# GATE 2021 : Signals & Systems Rapid Mini Mock (App update required to attempt this test)

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Question 1

A system defined by y(n) = is an example of

Question 2

The fundamental period of discrete time signal is

Question 3

For a signal x(t) = u(t + 2) – 2u(t) + u(t – 2) the waveform is:

Question 4

The impulse response of a system is . The difference equation representation for this system is

Question 5

Let the impulse response of one system is given as . The impulse response of second system which is connected in parallel to such that it is making the whole system memory-less is

Question 6

Consider the following integral the value of I is ______.

Question 7

What is the convolution of x1 (t) =sin3t u(t), x2(t) =cos2t u(t)

Question 8

For the inter connected system shown in figure, if h1(t) = h2(t) = 5 (t) and h3(t) = h4(t)= h5(t) = u(t) , then overall impulse response of the system is ________ u(t) Question 9

For the signal X(t) = The ratio of power content in 1st harmonics and 8th harmonics is _______?

Question 10

Find the cosine representation Fourier series for the signal shown in figure. Question 11

The Fourier transform of is then Fourier transform of is

Question 12

Consider a periodic signal x(t) = rect(t – 1/2) with time period 'T' = 2. Then the power in the first four harmonics is _____ W.
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