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== '''Time Shifting Property of Continuous-Time Fourier Series''' ==<br> | == '''Time Shifting Property of Continuous-Time Fourier Series''' ==<br> | ||
When a time shift is applied to a periodic signal x(t), the period T of the signal is preserved.<br> | When a time shift is applied to a periodic signal x(t), the period T of the signal is preserved.<br> | ||
| − | The Fourier series coefficients <math>b_{k}</math><br> | + | The Fourier series coefficients <math>b_{k}</math> of the resulting signal y(t)=x(t-<math>t_{0}</math>) may be expressed as<br> |
| + | <math>b_k=\frac{1}{T}\int_T x(t)e^{-jkw_0t}dt</math><br> | ||
Revision as of 03:27, 9 July 2009
== Time Shifting Property of Continuous-Time Fourier Series ==
When a time shift is applied to a periodic signal x(t), the period T of the signal is preserved.
The Fourier series coefficients $ b_{k} $ of the resulting signal y(t)=x(t-$ t_{0} $) may be expressed as
$ b_k=\frac{1}{T}\int_T x(t)e^{-jkw_0t}dt $
