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GATE EC 2022: Signals & Systems Quiz 2 (App update required to attempt this test)
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Question 1
Let and . The value of where
‘*’ represents convolution
‘*’ represents convolution
Question 2
Consider the signal x(t) = te-t t ≥ 0 otherwise zero. Let X(w) be the Fourier transform of x(t) then find
Question 3
The complex exponential Fourier series representation of a signal f(t) over the interval (0,T) is
Find the sum of component of f(t) at n = 3 and n = -3
Question 4
An ideal second order Low pass filter is shown below with cut off frequency of 2 rad/sec is supplied with input, x(t) = e-2t u(t)
Find the energy present in the response of the system (in joules).
Question 5
The power of the signal x(t) up to second harmonics is______.
Question 6
The Fourier transform of is then Fourier transform of is
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May 14ESE & GATE EC