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Q#1
Fourier Series
GATE EC 2025
MSQ
+2 marks
-0 marks
Let 
be a periodic signal with fundamental period 
. Consider the signal 
, where 
.
The Fourier series expansions of and 
are given by
Which of the following statements is/are TRUE?
for all 
is periodic with a fundamental period 
for all
is periodic with a fundamental period 
Explanation:
where, 
is fundamental Time period of 
and 
is, fundamental Time period of 
.
Also, 
Since, 
.
Thus, 
for all 
& y(t) is periodic with fundamental period 
Hence, option (a) & (d) are correct
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