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Consider an LTI system for which the system function H(s) has the pole-zero pattern

Chapter 9, Problem 9.28

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QUESTION:

Consider an LTI system for which the system function H(s) has the pole-zero pattern shown in Figure P9.28.

(a) Indicate all possible ROCs that can be associated with this pole-zero pattern.

(b) For each ROC identified in part (a), specify whether the associated system is stable and/or causal.

Questions & Answers

QUESTION:

Consider an LTI system for which the system function H(s) has the pole-zero pattern shown in Figure P9.28.

(a) Indicate all possible ROCs that can be associated with this pole-zero pattern.

(b) For each ROC identified in part (a), specify whether the associated system is stable and/or causal.

ANSWER:

Step 1 of 6

(a)

The possible region of convergence ROCs with the pole zero pattern.

         (1)  

         (2)

         (3)

         (4)

 

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