Signals and Systems Lec-26: Continuous - Time Fourier Transform (Part 2)

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In this Lecture, i discussed the properties of Continuous-Time Fourier Transform.
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Sir at 25:40 you said that "this is the reason we take mod." What is the reason please explain again sir?

Ritesh
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sir which book best for objective bits in singal and systems for tspsc

korivivenkat
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at 27.36 min why we are taking -infinity to t limits. why not -infinite to +infinite

factvedas
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Sir I have a doubt at 10:03 minute. Here when x(t) is converted into sinc function then it has a constant multiplied with the sinc
i.e, sin(3*t)/(pi*t) will be changed into (3/pi)*sinc(3*t/pi). So i thought that integration of sinc is 1 but it has a constant along with it. So the answer should be 3/pi. But i dnt knw if its correct. Sir clarify me in this.

LouDFrog