Practice - Region of Convergence (ROC)
Practice Questions
Test your understanding with targeted questions
What does ROC stand for?
💡 Hint: Think about convergence in mathematical terms.
Define a causal signal.
💡 Hint: Consider signals that only exist in the future.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the ROC indicate?
💡 Hint: Think about where we can apply the Z-Transform.
If the ROC of a system does not include the unit circle, is the system stable?
💡 Hint: Consider what stability means for signals.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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