3) z-plane Re 1/2 2/3 Unit Circle Pole-zero map and ROC (shaded area) of a filter is given above. a) Is the filter causal or not? Explain why. b) Is the filter stable or not? Explain why. c) Is the filter IIR or FIR? Explain why. d) If the filter has unity gain, find its z-transform, H (z). e) Find the filter's impulse response, h[n]. f) If a pole at z= - 2 and a zero at z=0 are added to the original filter above, draw pole-zero map and ROC of the new filter which is causal. g) Is the new filter in (f) stable or not? Explain why?

3) z-plane Re 1/2 2/3 Unit Circle Pole-zero map and ROC (shaded area) of a filter is given above. a) Is the filter causal or not? Explain why. b) Is the filter stable or not? Explain why. c) Is the filter IIR or FIR? Explain why. d) If the filter has unity gain, find its z-transform, H (z). e) Find the filter's impulse response, h[n]. f) If a pole at z= - 2 and a zero at z=0 are added to the original filter above, draw pole-zero map and ROC of the new filter which is causal. g) Is the new filter in (f) stable or not? Explain why?

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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