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Convolution Achievers Quiz 1

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Question 1

The figure shows two signal x(t) and h(t) as

Which of the waveforms in the option corresponds to convolution x(t) *h(t)?

Question 2

Consider input signal x(t) and impulse response h(t) as shown below:

If output and y(t) ranges from a < t < b, then (a + b) is ________.

Question 3

Find convolution for the continuous time signals x(t ) = and y(t) = which exist for t ?

Question 4

Given relationship y(t) = x(t) * h(t) and g(t) = x(4t) * h(4t). If g(t) has the form g(t) = Ay(Bt), then the ratio A/B = …………………………….

Question 5

Let n1(t) = u(t) – u(t–3) and n2(t) = 2[u(t) – u(t–5)]. If y(t) = n1(t)* n2(t), where ‘*’ denotes convolution. Then the amplitude of y(t) waveform will be

Question 6

Consider the signals given below:

x1(t) = δ(t + 1) – δ(t – 1)

x2(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 7

Two signals x1(t) and x2(t) are convoluted as shown in figure below:

Choose the correct option:

1. Lower limit of convoluted signals is (–6).

2. Height of the convoluted signals is .

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Sep 14ESE & GATE EE