7. Consider the z-transform of a discrete-time signal x[n] given as follows: 2-¹ (1-12-²) 9 (1-z-¹ +22-²)(1 – 2−¹) X(z) = (a) Plot the zeros and poles on the z-plane, specify whether or not 0 and ∞ are zeros or poles, and show the possible choices of the ROC. (b) Determine the inverse z-transform x[n] if we know that the discrete-time Fourier transform exists.

7. Consider the z-transform of a discrete-time signal x[n] given as follows: 2-¹ (1-12-²) 9 (1-z-¹ +22-²)(1 – 2−¹) X(z) = (a) Plot the zeros and poles on the z-plane, specify whether or not 0 and ∞ are zeros or poles, and show the possible choices of the ROC. (b) Determine the inverse z-transform x[n] if we know that the discrete-time Fourier transform exists.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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