| Line 1: | Line 1: | ||
Proof of Time Shifting in CTFS(Table 3.1) | Proof of Time Shifting in CTFS(Table 3.1) | ||
| − | Peridic Signal | + | Peridic Signal: x(t-t0) |
| − | x(t-t0) | + | |
| + | FS Coefficients: ak*exp(-jkw0t0) | ||
| + | |||
| + | |||
Proof: | Proof: | ||
If we plug the new FS Coefficients into the CTFS function,we get: | If we plug the new FS Coefficients into the CTFS function,we get: | ||
| − | <math>\sum_{k=-\infty}^\infty a_ke^ | + | <math>\sum_{k=-\infty}^\infty a_ke^{-jkw0t0}e^{jkw0t}</math> |
Revision as of 18:30, 8 July 2009
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} $
