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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

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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:

  1. The Z-transform is a mathematical tool used in signal processing and control theory. It's used to analyze and represent discrete-time signals.

  2. The Region of Convergence (ROC) is a region in the z-plane for which the Z-transform summation converges.

  3. 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.

  4. 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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