Physics · Digital Signal Processing

For a discrete-time Linear Time-Invariant (LTI) system, the transfer function is given by H(z) = z(z - 0.2)(z - 0.5) with Region of Convergence (ROC) |z| > 0.5. The system is and .

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1causal IIR, stable✓
2non-causal FIR, stable
3causal FIR, stable
4causal IIR, unstable

Correct answer

causal IIR, stable

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For a discrete-time Linear Time-Invariant (LTI) system, the transfer function is given by H(z) = z(z - 0.2)(z - 0.5) with Region of Convergence (ROC) |z| > 0.5. The system is and .

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For a discrete-time Linear Time-Invariant (LTI) system, the transfer function is given by H(z) = z(z - 0.2)(z - 0.5) with Region of Convergence (ROC) |z| > 0.5. The system is ______ and ______.

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For a discrete-time Linear Time-Invariant (LTI) system, the transfer function is given by H(z) = z(z - 0.2)(z - 0.5) with Region of Convergence (ROC) |z| > 0.5. The system is and .