ROC of Z-transform a two-sided sequence is 1 pointEntire z-plane except at z=∞ and z=0z=∞Entire z-plane except at z=0Entire z-plane except at z=∞z=0
Question
ROC of Z-transform for a Two-sided Sequence
The options provided are:
- Entire z-plane except at z=∞ and z=0
- z=∞
- Entire z-plane except at z=0
- Entire z-plane except at z=∞
- z=0
Solution
It seems like you're asking about the Region of Convergence (ROC) in Z-transform for a two-sided sequence. The ROC of a Z-transform for a two-sided sequence is the entire z-plane except at z=0 and z=∞.
Here's a step-by-step explanation:
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The Z-transform is a mathematical tool used in signal processing and control theory. It's used to analyze and represent discrete-time signals.
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The Region of Convergence (ROC) is a region in the z-plane for which the Z-transform summation converges.
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For a two-sided sequence, the ROC does not include the point z=0 and z=∞. This is because a two-sided sequence extends from negative infinity to positive infinity, and the Z-transform summation would not converge at these points.
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Therefore, the ROC of a Z-transform for a two-sided sequence is the entire z-plane except at z=0 and z=∞.
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