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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define stability in the context of discrete-time systems.
💡 Hint: Consider what happens to the output when the input is constant.
Question 2
Easy
What is the Z-transform?
💡 Hint: Think of how we convert signals into a different domain.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What indicates a stable discrete-time system?
- A) The ROC does not include |z|=1
- B) The ROC includes |z|=1
- C) The ROC is infinite
💡 Hint: Consider the definition of stability tied to ROC.
Question 2
True or False: Anti-causal systems can be stable if the ROC is inward from the origin.
- True
- False
💡 Hint: Recall the characteristics of anti-causal systems.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a system with the Z-transform X(z) = 1/(1-0.5z^-1). Analyze its stability.
💡 Hint: Determine where the pole lies in relation to |z|=1.
Question 2
If a two-sided system has the ROC between |z|=0.5 and |z|=2, is it stable? Explain.
💡 Hint: Analyze the necessary conditions for stability regarding the ROC.
Challenge and get performance evaluation