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Wednesday, 13 July 2011
Give me Some Signals which are Fourier Transforms of itself
One Famous Signal is Gaussian Pulse:
e−at2⇔√πae−π2ω2a
Can You Think of Any Other Signals other Than Zero(Which is Trivial)??
According to Symmetry Property of Fourier Transform
if x(t)⇔X(f)
Then X(t)⇔x(−f)
so By Linearity:
x(t)+X(t)⇔x(−f)+X(f)
x(t)+X(t)⇔x(f)+X(f)
so FT of Sum of any even Signal and its Fourier Transform is itself. if you find any exceptions plzz comment ..ReplyDelete