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ISRO EC 2019: Signals & Systems Booster Quiz 3

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Question 1

We are given a delay line of unknown delay. If a 100 kHz sinusoid is applied as input, the output lags the input by 90o, if an 80kHz sinusoid is applied as input, the output is seen to be exactly in phase with the input. The delay introduced by the line is

Question 2

Find the discrete-Time Fourier Transform (DTFT) of the following signal?
x(n) = an where n ≥ 0, -1 < a < 1.

Question 3

A signal m (t) = 3cos (6000πt) + 4 cos (7000πt) + 5cos (10000πt) to be sampled. What is the minimum sampling rate for baseband sampling for truth full representation:

Question 4

A system is said to be BIBO stable if Bounded Inputs always yield Bounded Outputs. By this criterion,

As u(t) is bounded but its derivative impulse function is unbounded and its integration is also unbounded at t equal to infinity.

Question 5



If System 1 and 2 are Linear Time Invariant systems and same input x(n) is provided both configuration
Statement 1:
Statement 2: f(n)=g(n)

Question 6

Difference in number of complex multiplir rquied for 16 point DFT and 16-point radix-2 FFT is

Question 7

Which of the following statement is not true

Question 8

Given f(t)=L-1,if , then the value of k is

Question 9

The nyquist filter has impulse response given by

Question 10

Let and . If
What is x[n] in terms of unit discrete step function u(n)?
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Jun 16ESE & GATE EC