tion: Suppose a discrete-time LTI system is characterized by the following system func- 2-212 2 H(z) (a) What are the possible ROCs for H(z)? for each possible ROC, sketch the pole-zero plot. (b) For each possible ROC, determine if the system is causal, non-causal, or anti-causal. (c) For each possible ROC, determine if the system is BIBO stable or not. (d) For each possible ROC, determine the impulse response h(n). 1 - -1 21 4 -1 5 2 +2-2

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 6.22P
icon
Related questions
Question
I Suppose a discrete-time LTI system is characterized by the following system func-
tion:
H(z)
=
1
2-212-1
4
214 1
Z +31%
-2
(a) What are the possible ROCs for H(z)? for each possible ROC, sketch the pole-zero plot.
(b) For each possible ROC, determine if the system is causal, non-causal, or anti-causal.
(c) For each possible ROC, determine if the system is BIBO stable or not.
(d) For each possible ROC, determine the impulse response h(n).
Transcribed Image Text:I Suppose a discrete-time LTI system is characterized by the following system func- tion: H(z) = 1 2-212-1 4 214 1 Z +31% -2 (a) What are the possible ROCs for H(z)? for each possible ROC, sketch the pole-zero plot. (b) For each possible ROC, determine if the system is causal, non-causal, or anti-causal. (c) For each possible ROC, determine if the system is BIBO stable or not. (d) For each possible ROC, determine the impulse response h(n).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Different Types of System and Its Property
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning