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==Time Shifting Property== | ==Time Shifting Property== | ||
| − | The time shifting property states that if the periodic signal [tex]x(t)[ | + | The time shifting property states that if the periodic signal [tex]x(t)[\tex] is shifted by [tex]t_0[/tex] to created the shifted signal [tex]x(t-t_0[/tex], then the Fourier series coefficients of [tex]x(t)[/tex], [tex]a_k[/tex], will all be multiplied by [tex]e^{-jkw_0t_0}[/tex] resulting in the coefficients of the shifted function being [tex]a_k e^{-jkw_0t_0}[/tex]. |
Revision as of 16:30, 8 July 2009
Time Shifting Property
The time shifting property states that if the periodic signal [tex]x(t)[\tex] is shifted by [tex]t_0[/tex] to created the shifted signal [tex]x(t-t_0[/tex], then the Fourier series coefficients of [tex]x(t)[/tex], [tex]a_k[/tex], will all be multiplied by [tex]e^{-jkw_0t_0}[/tex] resulting in the coefficients of the shifted function being [tex]a_k e^{-jkw_0t_0}[/tex].
