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GATE EE 2021 : Subject Revision Quiz 5 (App update required to attempt this test)
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Question 1
Let X[z] is the z-transform of a summable signal, x[n] having pole at Z = 1/2, then
Question 2
Consider a discrete signal,
The value of will be
Question 3
Consider a non-causal system whose Z-transform is given by
Find x(1) = ___________?
Question 4
The unit impulse response of the system described by is:
Question 5
Consider the signal given below.
Find the z-transform of the above signal.
Question 6
A function f(t) is shown in the given figure exist from t = 0.
Then evaluate the integral of
Question 7
Consider a continuous-time LTI system with frequency response and Calculate x(t).
Question 8
Consider the signal x(t) having a Nyquist rate of ωs. Find the Nyquist rate of signal y(n) such that
y(n) = x(2t) ⨂
Question 9
The value of integral I ?
Question 10
Consider an LTI system is such that
h1(n) = δ(n) – 5 δ (n – 1)
h2(n) = 5n u(n)
Find the output of signal at n = 3 for applied input is
Question 11
Suppose the maximum frequency in a bandlimited signal x(t) is 5 kHz. Then, the maximum frequency in x(t)cos (2000πt ), in kHz, is
Question 12
Sketch the convolution of two signal.
h(t) = δ (t + 1) + δ (t — 2)
Question 13
Determine which one has the valid Fourier series?
Question 14
A signaland its transformed signalare shown in figure below:
If, then the value of a is
Question 15
For the given difference equation
if y (–1) = 0; y (–2) = 1
if input is given as
Find the Transfer function H(z) ?
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Sep 9ESE & GATE EE