ETC EngineeringMCQs
Home › Signals & Systems › For an LTI system, if x(t)=e^(j3t) and H(j3)=2e^(-jπ/4), the output is?
MCQ Practice Question
Signals & SystemsFrequency Response

For an LTI system, if x(t)=e^(j3t) and H(j3)=2e^(-jπ/4), the output is?

  • A2e^(j(3t-π/4))
  • Be^(j(6t-π/4))
  • C2e^(-j3t)
  • De^(j3t)/2
Report an error
Correct Answer: A. 2e^(j(3t-π/4))
Explanation: Complex exponentials are eigenfunctions of LTI systems, so y(t)=H(j3)e^(j3t)=2e^(j(3t-π/4)).
Reference: Standard signals and systems: frequency response
Continue practicing: Signals & Systems MCQs or browse all MCQs.