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National Champion Test -GATE 2018 EE: Signal & System

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Question 1

Let where * denotes the convolution operation. The following is false

Question 2

Inverse Fourier transform of signal $Description: E:\Gate\isro-cs\ISRO_EC_2009_files\image074.png$

Question 3

Determine the discrete-time Fourier Transform for the signal
$Description: E:\Gate\isro-cs\ISRO_EC_2009_files\image077.jpg$

Question 4

Spectrum of a signal x(f), sampled at period T, is given by :

Question 5

0.75s + 0.25=0 is the characteristic equation of a second order system. Its response to unit step function will be,

Question 6

The Laplace Transform of x(t) formed by convolution operator is:
$Description: Description: Description: Description: Description: E:\GradeStack Courses\ISRO-EC-2012_files\image178.png$

Question 7

An inverse z-transform x(kT) of

Question 8

The Fourier transform of a single h (t) is H(jω) = (2 cosω) (sin2ω) / ω. The value of h(0) is

Question 9

A current impulse, 5δ (t), is forced through a capacitor C. The voltage, V_c(t), across the capacitor is given by

Question 10

Let y[n] denote the convolution of h[n] and g[n], where h[n] = (1/2)ⁿu[n] and g[n] is a causal sequence. If y[0] =1 and y [1] = ½, then g[1] equals

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ESE & GATE EE Signals and Systems

Nov 7ESE & GATE EE