Electronics Engineering · Signal and Systems
Consider a WSS random process X(t) passing through an LTI system with impulse response h(t) = δ(t + a) − δ(t − a). Let the output random process be Y(t). Then, the power spectral density Sy(ω) of the random process Y(t) in terms of the power spectral density Sx(ω) of the random process X(t) is:
- 1Sy(ω) = 4Sx(ω)sin2(aω)✓
- 2Sy(ω) = 4Sx(ω)cos2(aω)
- 3Sy(ω) = 4Sx(ω)sin2(aω/2)
- 4Sy(ω) = 4Sx(ω)cos2(aω/2)
Correct answer
Sy(ω) = 4Sx(ω)sin2(aω)
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