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GATE EC 2021: Signals & Systems Quiz 4 (App update required to attempt this test)
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Question 1
The Fourier series coefficients of a continuous time periodic signal 
is given as follows
Find the numerical value of the power of the signal
.
is given as follows Find the numerical value of the power of the signal
. Question 2
Consider the following continuous time signal x(t)
If Ck is the complex Fourier series coefficient of signal x(t). Then the value of |C2| will be
Question 3
x(t) is a periodic signal with fundamental period T and Fourier coefficient
and 
then,
1) 
for all values of n
2) 
Which of the above statements is/are true?
Question 4
The Fourier series representation for the following signals X(t) is
Question 5
A band limited signal x(t) with a’ spectrum X(f) as shown in Fig. p18 a is processed as shown in Fig.P18B. p(t) is a periodic train of impulses as in Fig.P18 c. The ideal bandpass filter has a passband from 26 KHz to 34 KHz.
Calculate the Fourier series coefficients Cnin the Fourier expansion of p(t) in 
Question 6
Let x(t) be a periodic signal whose exponential Fourier series coefficients are given as
then which of the following statements are true about the signal
(i) x(t) is a real signal
(ii) x(t) is even signal
(iii)
is odd signal
then which of the following statements are true about the signal
(i) x(t) is a real signal
(ii) x(t) is even signal
(iii)
is odd signal - 296 attempts
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Sep 23ESE & GATE EC
