Fourier
Transform of
Say
x(t) is periodic with period T1
and h(t) is periodic with period T2
with T1 / T2 = m / n (where
m and n are integers).
Thus m T2 = n T1
= T is a common period for the two.
We can expand x(t) and h(t) into Fourier
Series with fundamental frequency :

If one compares the Fourier co-efficients
in these expansions with those in the expansions with
the original fundamental frequencies, i.e:
,
we find:

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