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==Time Shifting Property== | ==Time Shifting Property== | ||
| − | The time shifting property states that if the periodic signal | + | The time shifting property states that if the periodic signal <math>x(t)</math> is shifted by <math>t_0</math> to created the shifted signal <math>x(t-t_0)</math>, then the Fourier series coefficients of <math>x(t)</math>, <math>a_k</math>, will all be multiplied by <math>e^{-jkw_0t_0}</math> resulting in the coefficients of the shifted function being <math>a_k e^{-jkw_0t_0}</math>. |
Revision as of 16:33, 8 July 2009
Time Shifting Property
The time shifting property states that if the periodic signal $ x(t) $ is shifted by $ t_0 $ to created the shifted signal $ x(t-t_0) $, then the Fourier series coefficients of $ x(t) $, $ a_k $, will all be multiplied by $ e^{-jkw_0t_0} $ resulting in the coefficients of the shifted function being $ a_k e^{-jkw_0t_0} $.
