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GATE EC: Signals & Systems Rapid Mini Mock
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Question 1
Consider a continuous-time system with input x(t) and output y(t) are related by y(t) = x (sin t). The system is
Question 2
The signal
Question 3
For a signal x(t) = A e-at.u(t) + B e-bt.u(t), how many poles lie within its region of convergence?
(Given : a > B)
(Given : a > B)
Question 4
The impulse response of two LTI systems are given below,
Which of the following is a stable system?
Which of the following is a stable system?
Question 5
Find the range of values of 
and 
for which the LTI system with impulse response
is stable,
and for which the LTI system with impulse response is stable,
Question 6
An LTI system is described by the following differential equation and the initial conditions are given below,
Find the impulse response of this system.
Find the impulse response of this system.
Question 7
The impulse response 
of an LTI system is given below
Find the frequency response of this system.
of an LTI system is given below Find the frequency response of this system.
Question 8
Impulse response 
of a system is given below,
Find the modulus of difference between the phase delay and group delay of the system at
.
of a system is given below, Find the modulus of difference between the phase delay and group delay of the system at
. Question 9
Consider the discrete LTI system given by
Which of the following is true?
Which of the following is true?
Question 10
Z-Transform of a signal is given as 
, where 
. The time domain signal 
is given by,
, where . The time domain signal is given by, Question 11
Consider the system given below with the input 
and output 
.
and output .
Find the value of 
.
Question 12
The 4-point Discrete Fourier Transform (DFT) of a discrete time sequence 
is denoted by 
. Find the value of 
is __________.
is denoted by . Find the value of is __________.- 503 attempts
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ESE & GATE ECGeneralMar 3ESE & GATE EC
