Physics · Signals and Systems
An input sequence x[n] with discrete-time Fourier transform X(ejΩ) = 1 - e-jΩ + 2e-j3Ω is passed through a linear time-invariant (LTI) system with frequency response H(ejΩ) = 1 - 12e-j2Ω. The output sequence y[n] of the system is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1δ[n] + δ[n-1] - 12δ[n-2] - 52δ[n-3] + δ[n-5]
- 2δ[n] - δ[n-1] - 12δ[n-2] - 52δ[n-3] + δ[n-5]
- 3δ[n] - δ[n-1] - 12δ[n-2] + 52δ[n-3] - δ[n-5]✓
- 4δ[n] + δ[n-1] + 12δ[n-2] + 52δ[n-3] + δ[n-5]
Correct answer
δ[n] - δ[n-1] - 12δ[n-2] + 52δ[n-3] - δ[n-5]
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