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BARC-2018 EC: SIgnal & System Quiz 1

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Question 1

The differential equation describe as system with an input x(t) and an output y(t). The system which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform

Question 2

A causal LTI system has zero initial conditions and impulses response h (t). Its input x (t) and output y (t) are related through the linear constant-coefficient differential equation

Let another signal g(t) be defined as

If G(s) is the Laplace transform of g(t), then the number of poles of G(s) is _______.

Question 3

In the figure, M(f) is the Fourier transform of the message signal.m(t) where A = 100 Hz and B = 40 Hz. Given

 and 

  

The cutoff frequencies of both the filters are fc

The bandwidth of the signal at the output of the modulator (in Hz) is _____.

Question 4

For the given function f(t), determine the value of ω at which the magnitude in the frequency domain is zero.

Question 5

Consider a discrete time system whose impulse response is given as

with input is applied to the system. Then the magnitude of the response of the system for even values of n will be equal to _____________.

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Jun 22ESE & GATE EC