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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^{-jkw_0t_0}e^{jkw_0t} $ = $ \sum_{k=-\infty}^\infty a_ke^{jkw_0(t-t_0)} $ = $ x(t-t_0) $

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva