The discussion focuses on the relationship between phase shift and time shift in Fourier Transformations, specifically addressing the equation x(t-t_0) → e^(jωt_0)X(jω). A participant expresses confusion regarding the simplification process, while another clarifies that the correct transformation should be x(t-t_0) → exp(-jωt_0)X(jω), highlighting the importance of the negative sign in the exponent. This correction is crucial for accurate application of Fourier Transform principles.
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johnstamos said:Homework Statement
I'm trying to relate phase shift and time shift Fourier Transformers
Homework Equations
x(t-t_0) → e^(jwt0)X(jw)
The Attempt at a Solution
I've attached a picture of my work. I'm a bit confused as to how I would be able to make that simplification towards the end.
http://imageshack.us/photo/my-images/694/photofeb1585114pm.jpg/
Regards