Test: Signals & Systems - 1
15 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Test: Signals & Systems - 1
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If a real function f(t) has Fourier transform F(ω), then Fourier transform of f(t) - f(-t) will be
If F(w)is a complex no.a+jb
then Ft (w) is (a-jb)
SoF.T.of f(t)-f(-t) will bean imaginary number equal to (2 jb)
If impulse response of a discrete time LTI system is an u[n] then its step response is
Q. If transfer function H(s) of a system is given as H(s) = 
< Re {s} < -1 then value of h(t) is given as.
< Re {s} < -1 then value of h(t) is given as.Take partial fraction and then take inverse according to range of ROC.
if u(t) is unit step and δ(t) is unit impulse function then Inverse z, Transform of F(z) = 1/z + 1For k > 0 is
What is the value of Fundamental period of sequence x[n] = 3 sin (1.3 nπ+ π/2) + sin (1.2π)
If Fourier transform of x[n] is X(e'°') then Fourier transform of (- 1)n x[n] will be
A continuous time system is described by 
where y(t) is output and x(t) is input, then y(t)is bounded.
if x (t) is not bounded then 
is bounded.
Magnitude of Fourier transform x(t) & y(t) are shown in figure. If phases of X(ω) and Y(ω) are zero for all w. The magnitude and frequency units are identical in both figure then relation between y(t) and x(t) is expressed as :
X (z) = 
, if lal & Ibl < 1 with ROC, specified as
|a| < |z| < |b| then x [0] of corresponding sequence is given by.
so it is a non - causal system.
So it is a stable - system.
A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?
For a given discrete time sequencex[n] = 2, 0, - 1, - 3, 4, 1, - 1 ) then value of X (eiπ) is
Which of the following transfer function corresponds to an unstable system
14 If average power and energy of signal u(t) are P and E then
Just use formula for energy and power.
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21 docs|263 tests
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21 docs|263 tests
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