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GATE EC 2020 || Signals & Systems || Fourier Series Representation of Continuous Periodic Signals Quiz 3 (App update required to attempt this test)
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Question 1
A signal x(t) is denoted by a function which is periodic and continuous in its time domain representation. Then, which of the following would be true for the fourier transform of the signal
(i) Discrete and Periodic
(ii) Discrete and Aperiodic
(iii) Real{x(t)} transforms in to Real{X(jω)}
(iv) Real{x(t)} transforms in to Imag{X(jω)}
(i) Discrete and Periodic
(ii) Discrete and Aperiodic
(iii) Real{x(t)} transforms in to Real{X(jω)}
(iv) Real{x(t)} transforms in to Imag{X(jω)}
Question 2
Let 
be a periodic signal with one period given as,
be a periodic signal with one period given as,
, and let 
, for 
.
The Fourier series of 
is given by
And that of 
is given by
Then the value of ‘a+b’ is_____________.
Question 3
Find the inverse Fourier transform of signal 
Question 4
The Fourier transform of the signal shown in the following figure is
Question 5
The Fourier transform (F.T.) of 25*sinc[10(t-2)] will be
Question 6
The Fourier transform of the following signal is
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Sep 22ESE & GATE EC
