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Signals & SystemsFourier Transform

If x(t) ↔ X(jω), multiplication of x(t) by e^(jω0t) produces?

  • AX(j(ω-ω0))
  • BX(j(ω+ω0))
  • Cω0X(jω)
  • DX(jω)e^(-jω0)
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Correct Answer: A. X(j(ω-ω0))
Explanation: Time-domain modulation by e^(jω0t) shifts the spectrum by +ω0: X(j(ω-ω0)).
Reference: Standard signals and systems: fourier transform
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