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Q#1
Sampling
GATE EC 2025
MCQ
+2 marks
-0.66 marks
Consider a continuous-time finite-energy signal 
whose Fourier transform vanishes outside the frequency interval 
, where 
is in 
.
The signal is uniformly sampled to obtain 
. Here,
with 
being the Dirac impulse, 
, and 
. The sampled signal 
is passed through an ideal lowpass filter 
with cutoff frequency and passband gain 
.
The output of the filter is given by ___________.
if 
Explanation:
Given: : Continuous-time finite-energy signal
exist in interval
FS-Coefficient calculation for p(t):
Let 
for one Time period
FS-Coefficient of 
F.T. of periodic signal 
Hence, option (A) is correct.
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