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GATE 2020: Signals & Systems Rapid Revision Quiz 1
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Question 1
Consider the system with following input-output relation
where, x[n] is the input and y[n] is the output. The system is
where, x[n] is the input and y[n] is the output. The system is Question 2
Find the even components of the signal x(t) = 
Question 3
The Laplace transform and the ROC of the signal 
is
is Question 4
Given below is a linear time-invariant system, where input 
and the impulse response of the system 
.
Determine the output of the system.
and the impulse response of the system . Determine the output of the system.
Question 5
A Direct Form Implementation of an LTI system with 
is shown in figure
The value of ao,a1 & a2 are respectively
Question 6
For the given function f(t), determine the value of ω at which the magnitude in the frequency domain is zero.
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Dec 15ESE & GATE EE
