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BARC ECE 2019 :Signals Nuclear Quiz 2

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Question 1

A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where

The resulting signal is then passed through an ideal lowpass filter with bandwidth 1 kHz. The output of the lowpass filter would be:

Question 2

The Dirac delta function δ(t) is defined as

Question 3

A signal x(n) = sin (ω0 n + φ) is the input to a linear time invariant system having a frequency response . If the output of the system is Axn-n0), then the most general form of will be

Question 4

For the discrete-time system shown in the figure, the poles of the system transfer function are located at
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image236.jpg

Question 5

Let Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image044.png and Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image045.png be the Fourier transform of Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image046.png. Then Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image047.png is

Question 6

The unit-step response of a system starting from rest is given by c(t) = 1-e-2t for t ≥ 0.
The transfer function of the system is:

Question 7

A system with input x[n] and output y[n] is given as . The system is:

Question 8

A system with input x(t) and output y(t) is defined by the input-out relation:

The system will be

Question 9

For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by

Question 10

If the region of convergence of x1[n] + x2[n] is then the region of convergence of x1[n] – x2[n] includes
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Apr 24ESE & GATE EC