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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the main difference between IIR and FIR systems?
💡 Hint: Consider the role of past outputs in system calculations.
Question 2
Easy
Define BIBO stability.
💡 Hint: Think about ensuring predictable behavior in a system.
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 term IIR stand for?
- Infinite Impulse Response
- Instant Impulse Response
- Intermittent Impulse Response
💡 Hint: Remember what 'infinite' implies about the duration of the response.
Question 2
True or False: IIR systems guarantee stability regardless of the coefficients chosen.
- True
- False
💡 Hint: Reflect on what stability requires in mathematical terms.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You are given an IIR system characterized by the coefficients a = [0.5, -0.2] and b = [1, 0.3]. Analyze if the system is stable by finding its characteristic roots.
💡 Hint: Use the quadratic formula to find the roots, and check their absolute values against 1.
Question 2
Given the impulse response h[n] of an IIR system is proposed as h[n] = (0.5)^n u[n] - (0.3)^n u[n], analyze its stability by assessing the absolute summability.
💡 Hint: Compare the growth rates of the exponential terms for n tending to infinity.
Challenge and get performance evaluation