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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does ROC stand for?
💡 Hint: Think about convergence in mathematical terms.
Question 2
Easy
Define a causal signal.
💡 Hint: Consider signals that only exist in the future.
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 does the ROC indicate?
- The range of z for convergence.
- The frequency response of a signal.
- Only the stability of a system.
💡 Hint: Think about where we can apply the Z-Transform.
Question 2
If the ROC of a system does not include the unit circle, is the system stable?
- True
- False
💡 Hint: Consider what stability means for signals.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a signal x[n] = (0.5)^n u[n] + 2^(-n-1) u[-n-1]. Determine the ROC.
💡 Hint: Identify signals as causal vs. anti-causal.
Question 2
If a system has poles outside the unit circle, discuss the implications of its ROC on system stability.
💡 Hint: Relate the position of poles to the ROC.
Challenge and get performance evaluation