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For minimum phase systems:
- a)Pole must lie on left plane
- b)Zeroes must lie on left plane
- c)Poles and zeroes must lie on left plane
- d)Both must lie on right plane
Correct answer is option 'C'. Can you explain this answer?
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For minimum phase systems:a)Pole must lie on left planeb)Zeroes must l...
Answer: c
Explanation: For minimum phase systems poles and zeroes must lie on the right s-plane.
Explanation: For minimum phase systems poles and zeroes must lie on the right s-plane.
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For minimum phase systems:a)Pole must lie on left planeb)Zeroes must l...
Minimum Phase Systems Explanation:
Poles and Zeroes of Minimum Phase Systems:
In minimum phase systems, both poles and zeroes must lie on the left plane of the complex plane. This ensures that the system is stable and causal. If the poles or zeroes were to lie on the right plane, the system would be unstable and non-causal.
Left Plane:
The left plane in the complex plane is where the real part of the poles and zeroes is negative. This region corresponds to stable systems in the time domain.
Stability and Causality:
For a system to be stable, all poles must have negative real parts. Causality requires that the system's output at any given time depends only on the present and past inputs, which is ensured by having all poles and zeroes in the left plane.
Impulse Response:
In minimum phase systems, the impulse response decays over time, indicating stability. This decay is possible because all poles are located on the left plane.
Conclusion:
In summary, for a system to be minimum phase, both poles and zeroes must lie on the left plane of the complex plane. This criterion is essential for ensuring stability and causality in the system, making it a fundamental requirement for minimum phase systems in the field of electrical engineering.
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For minimum phase systems:a)Pole must lie on left planeb)Zeroes must l...
C
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