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CTFS Time Shifting Property

If x(t) has CTFS coefficients $ a_k $ and y(t) has CTFS coefficients $ b_k $,

then the Fourier series coefficients $ b_k $ of the resulting signal y(t) = x(t - $ t_0 $)

may be expressed as $ b_k = \left ( \frac{1}{T} \right ) \int \limits_T x \left ( t - t_0 \right ) e^{-j k w_0 t}\, dt $.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett