Time Left - 25:00 mins
GATE EC 2021: National Champion Quiz 4 (App update required to attempt this test)
Attempt now to get your rank among 431 students!
Question 1
Which country has been elected to the UNICEF Executive Board, representing the group of Asia-Pacific countries for the term 2016-2018?
Question 2
Consider two real valued signals, x(t) band-limited to [−500 Hz, 500Hz] and y(t) band-limited to [−1kHz, 1kHz]. For z (t) = x(t). y(t), the Nyquist sampling frequency (in kHz) is __________
Question 3
The Hilbert transform of x(t)=ej2πft is
Question 4
The 4-point DFT of the sequence x(n)=cos(nπ/4) is X(k).
Then find the value of 
Question 5
For the pole –zero plot shown in figure represents ________filter
Question 6
Consider a periodic signal 
with time period T=2. The derivative of this signal is related to the impulse train 
with period T=2. It can be shown that
then the value of 
and 
are
with time period T=2. The derivative of this signal is related to the impulse train with period T=2. It can be shown that then the value of and are Question 7
Consider the following statements regarding a linear system y= f(x1)
1) f(x1+x2)=f(x1) + f(x2)
2) f[x(t+T)]= f[x(t)]+f[x(T)]
3) f(Kx)=Kf(x)
Of these statements
1) f(x1+x2)=f(x1) + f(x2)
2) f[x(t+T)]= f[x(t)]+f[x(T)]
3) f(Kx)=Kf(x)
Of these statements
Question 8
The exponential Fourier series coefficient of the periodic signal shown in the figure will be
Question 9
Given that periodic signal 
(t) has Fourier coefficient X(k) and fundamental frequency 
.
The Fourier coefficient of
(t) = 
(-2t + 4), with fundamental frequency 
is
(t) has Fourier coefficient X(k) and fundamental frequency .The Fourier coefficient of
(t) = (-2t + 4), with fundamental frequency isQuestion 10
The z-transfrom of a system is 
If the ROC is |z| < 0.2, then the impulse response of the system is
If the ROC is |z| < 0.2, then the impulse response of the system is
Question 11
A signal is represented as x (t) whose Laplace transform is denoted by X (s) where
The value of signal x (t) at t = 1 sec is __________.
The value of signal x (t) at t = 1 sec is __________. Question 12
Two systems S1 and S2 are cascaded where
S1 : P(n) = 3P(n – 1) + x(n)
S2 : y(n) = k1y(n – 1) + k2P(n)
If the overall input output relation is given by y(n) + 3 y (n – 2) – 4y(n – 2) = 4x (n) then value of K1 + K2 is ……
- 431 attempts
- 3 upvotes
- 1 comment
Sep 29ESE & GATE EC
