Electronics Engineering · Signal and Systems
Consider a Wide-Sense Stationary (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). The autocorrelation function Ryy(τ) of the random process Y(t) in terms of the autocorrelation function Rxx(τ) of the random process X(t) is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Ryy(τ) = 2Rxx(τ) - Rxx(τ + 2a) - Rxx(τ - 2a)✓
- 2Ryy(τ) = 2Rxx(τ) + Rxx(τ + a) + Rxx(τ - a)
- 3Ryy(τ) = 2Rxx(τ) + Rxx(τ + 2a) + Rxx(τ - 2a)
- 4Ryy(τ) = 2Rxx(τ) - Rxx(τ + a) - Rxx(τ - a)
Correct answer
Ryy(τ) = 2Rxx(τ) - Rxx(τ + 2a) - Rxx(τ - 2a)
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