Practice - Practical Implications
Practice Questions
Test your understanding with targeted questions
What is the definition of a transfer function?
💡 Hint: Think about how it links inputs to outputs.
What does the ROC imply about a system's stability?
💡 Hint: Consider what happens to outputs for bounded inputs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between the ROC of H(s) and system stability?
💡 Hint: Think about what BIBO means.
True or False: A system is causal if its impulse response is non-zero for t < 0.
💡 Hint: Reflect on definitions concerning causality.
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Challenge Problems
Push your limits with advanced challenges
A system has a transfer function H(s) with poles at -3, -1, and 2. Is the system causal and is it stable? Justify your answer.
💡 Hint: Evaluate causality and stability using pole positions.
You have a transfer function with poles at -5 and 3, and zeros at 1 and -2. Discuss the implications on the system’s frequency response.
💡 Hint: Connect behavior of poles and zeros with amplitude effects in frequency response.
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Reference links
Supplementary resources to enhance your learning experience.