Module 2 : Signals in Frequency Domain
Lecture 17 : Fourier Transform of periodic signals and some Basic Properties of Fourier Transform

Fourier Transform of Periodic signals continued .

By putting this transform in inverse Fourier transform equation, one can indeed confirm that one obtains back the Fourier series representation of x(t).

   

Thus, the Fourier transform of a periodic signal having the Fourier series coefficients is a train of impulses, occurring at multiples of the fundamental frequency, the strength of the impulse at being .

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