| Line 3: | Line 3: | ||
Peridic Signal: x(t-t0) | Peridic Signal: x(t-t0) | ||
| − | FS Coefficients: <math>a_ke^{- | + | FS Coefficients: <math>a_ke^{-jkw_0t_0}</math> |
Revision as of 18:33, 8 July 2009
Proof of Time Shifting in CTFS(Table 3.1)
Peridic Signal: x(t-t0)
FS Coefficients: $ a_ke^{-jkw_0t_0} $
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)
