Inverse Systems for LTI Systems Described by Difference Equations

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Question 1 of 4

1. Question
Select all of the following statements that apply to the relationship between an LTI system described by a rational system (transfer) function and the inverse system.
- The poles of the inverse system are the negative reciprocals of the poles of the original system
- The poles of the inverse system are the zeros of the original system
- The zeros of the inverse system are the poles of the original system
- The inverse and original systems have the same poles and zeros
- There is no predetermined relationship between the poles/zeros of the inverse and original systems
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Question 2 of 4

2. Question
A system has zeros at $z = 1/4$ and $z = 1/3$ . Select all that are true.
- The inverse system can be stable, but not causal
- The inverse system can be causal, but not stable
- The inverse system can be both causal and stable
- The inverse system is neither stable nor casual
- We cannot determine anything about the stability/causality of the inverse system
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Question 3 of 4

3. Question
A system has a zero at $z = 3$ and a pole at $z = -2$ . Select all that are true.
- The inverse system can be stable, but not causal
- The inverse system can be causal, but not stable
- The inverse system can be both causal and stable
- The inverse system is neither stable nor casual
- We cannot determine anything about the stability/causality of the inverse system
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Question 4 of 4

4. Question
A system has poles at $z = 4$ and $z = -1/3$ . Select all that are true.
- The inverse system can be stable, but not causal
- The inverse system can be causal, but not stable
- The inverse system can be both causal and stable
- The inverse system is neither stable nor casual
- We cannot determine anything about the stability/causality of the inverse system
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Inverse Systems for LTI Systems Described by Difference Equations

Inverse Systems for LTI Systems Described by Difference Equations

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