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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a transfer function?
π‘ Hint: Think about how it links inputs to outputs.
Question 2
Easy
What does the ROC imply about a system's stability?
π‘ Hint: Consider what happens to outputs for bounded inputs.
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 is the relationship between the ROC of H(s) and system stability?
- The ROC must include the imaginary axis
- The ROC must extend to the leftmost pole
- The ROC can be anywhere
π‘ Hint: Think about what BIBO means.
Question 2
True or False: A system is causal if its impulse response is non-zero for t < 0.
- True
- False
π‘ Hint: Reflect on definitions concerning causality.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
π‘ Hint: Evaluate causality and stability using pole positions.
Question 2
You have a transfer function with poles at -5 and 3, and zeros at 1 and -2. Discuss the implications on the systemβs frequency response.
π‘ Hint: Connect behavior of poles and zeros with amplitude effects in frequency response.
Challenge and get performance evaluation