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==Time Shifting Property==
 
==Time Shifting Property==
  
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>.
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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>, the Fourier series coefficients of the shifted will be <math>a_k e^{-jkw_0t_0}</math>, where <math>a_k</math> are the coefficients of <math>x(t)</math>.

Revision as of 16:35, 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) $, the Fourier series coefficients of the shifted will be $ a_k e^{-jkw_0t_0} $, where $ a_k $ are the coefficients of $ x(t) $.

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