Proof of Time Shifting in CTFS(Table 3.1)
Peridic Signal: x(t-t0)
FS Coefficients: ak*exp(-jkw0t0)
Proof:
If we plug the new FS Coefficients into the CTFS function,we get:
$ \sum_{k=-\infty}^\infty a_ke^{-jkw0t0}e^{jkw0t} $ = $ \sum_{k=-\infty}^\infty a_ke^{jkw0(t-t0)} $ = x(t-t0)