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BARC-2018 EE: SIgnal & System Quiz 2

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Question 1

Let the signal be a discrete time signal represented as

This signal is passed through a system whose impulse response is represented as. The minimum value of so that is _______ Hz

Question 2

If f (t) is a time domain signal whose Laplace transform is F (s), Where 

and the Fourier transform of f(t) converges.  Then f(0) and f() are respectively

Question 3

Let
The quantities p, q, r are real numbers.

Consider

If the zero of H(z) lies on the unit circle, then

Question 4

Two casual discrete – time signal x[n] and y[n] are related as y[n] = Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image036.png is the z-transform of y[n] is Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image037.png, the value of x [2] is___

Question 5

Given a signal . If the z -transform of signal is X(z) then which of the following diagram can represent pole location of X (z) on the z -plane
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Mar 12ESE & GATE EE