Please answer all the subparts ESPECIALLY H) I) J) SUBPARTS you can count this question as 2 questions and take my question rights these all subparts are connected each other please dont leave just solving first three. Please asnswer the question step by step and please care to explain the question in detailed with your own sentence and explain why you used that formula, calculations etc asap. Thanks in advance. z-planeRe1/2 2/3Unit CirclePole-zeromapand 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].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 isf)causal. (5 Points)g) Is the new filter in (f) stable or not? Explain why?h) How would you change the original filter from IIR to FIR (if the original filter is IIR) or from FIR to IIR (if the original filter isFIR) considering the z-transform in (d)? Explain your proposal/example.Ifmake the original filter left-sided with the same poles and zeros, plot its ROC.i)j) Is the filter in (i) stable and causal? Explain why.you

The solution of parts h,i,j is given below.

Answered: Please answer all the subparts…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Please answer all the subparts ESPECIALLY H) I) J) SUBPARTS you can count this question as 2 questions and take my question rights these all subparts are connected each other please dont leave just solving first three. Please asnswer the question step by step and please care to explain the question in detailed with your own sentence and explain why you used that formula, calculations etc asap. Thanks in advance.

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].
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
f)
causal. (5 Points)
g) Is the new filter in (f) stable or not? Explain why?
h) How would you change the original filter from IIR to FIR (if the original filter is IIR) or from FIR to IIR (if the original filter is
FIR) considering the z-transform in (d)? Explain your proposal/example.
If
make the original filter left-sided with the same poles and zeros, plot its ROC.
i)
j) Is the filter in (i) stable and causal? Explain why.
you

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