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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the Z-Transform in your own words.
💡 Hint: Think about how this relates to other transforms you know.
Question 2
Easy
What is meant by the Region of Convergence (ROC) in Z-Transform?
💡 Hint: Consider how convergence affects signal processing.
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
Which of the following statements about Z-Transform is correct?
- It only applies to continuous-time signals.
- It simplifies the analysis of discrete-time signals.
- It has no application in stability analysis.
💡 Hint: Reflect on its use in engineering.
Question 2
The ROC for a stable system includes which part of the Z-plane?
- Inside the unit circle
- Outside the unit circle
- Including the unit circle
💡 Hint: Think about how poles relate to stability.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a signal x[n] defined as unit step function, determine its Z-Transform and analyze the ROC.
💡 Hint: Use the definition of the Z-Transform.
Question 2
If a causal signal has a pole outside the unit circle, what does this imply for the system’s stability?
💡 Hint: Remember pole placement implications on stability.
Challenge and get performance evaluation