2) Consider a periodic signal f(t), with period T, that has a value of T/2t in the interval -t A) Compute the Fourier Series for f(t), which will be functions of T, and t. B) Take the limit of the part A answer as t goes to zero, and as a result find the Fourier Series for this limiting case, which is an impulse train (an impulse every T, seconds). f(t) T/2t - -To-t -T,+t -T/2 T/2 To-t Tott -T

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This problem is about Fourier Series which I need some assistance with: 

2) Consider a periodic signal f(t), with period T, that has a value of T/2t in the interval -t <t <t
and is identically zero in the rest of the interval from -T/2 to T/2.
0>
A) Compute the Fourier Series for f(t), which will be functions of T, and t.
B) Take the limit of the part A answer as t goes to zero, and as a result find the Fourier Series
for this limiting case, which is an impulse train (an impulse every T, seconds).
f(t)
T/2t -
-To-t
-T,+t -T/2
T/2
To-t
Tott
-T
Transcribed Image Text:2) Consider a periodic signal f(t), with period T, that has a value of T/2t in the interval -t <t <t and is identically zero in the rest of the interval from -T/2 to T/2. 0> A) Compute the Fourier Series for f(t), which will be functions of T, and t. B) Take the limit of the part A answer as t goes to zero, and as a result find the Fourier Series for this limiting case, which is an impulse train (an impulse every T, seconds). f(t) T/2t - -To-t -T,+t -T/2 T/2 To-t Tott -T
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