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Signals & SystemsFourier Transform

If x(t) ↔ X(jω), then x(t-t0) has Fourier transform?

  • AX(jω)e^(-jωt0)
  • BX(jω)e^(jωt0)
  • CX(j(ω-t0))
  • Dt0X(jω)
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Correct Answer: A. X(jω)e^(-jωt0)
Explanation: A time delay t0 introduces the linear phase factor e^(-jωt0).
Reference: Standard signals and systems: fourier transform
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