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Phase Shift and Time Shift - Fourier Transform

  1. Feb 15, 2012 #1
    1. The problem statement, all variables and given/known data

    I'm trying to relate phase shift and time shift Fourier Transformers

    2. Relevant equations

    x(t-t_0) → e^(jwt0)X(jw)

    3. 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.


  2. jcsd
  3. Feb 18, 2012 #2

    rude man

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    Homework Helper
    Gold Member

    How about x(t-t0) → exp(-jωt0)X(jω)? Note the - sign in the exponent.
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