Practice - Difference Equation Representation of DT-LTI Systems
Practice Questions
Test your understanding with targeted questions
Briefly describe a difference equation.
💡 Hint: Think about the mathematical relationships we discussed.
What does FIR stand for?
💡 Hint: Recall the definitions of different systems.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which type of system has a finite impulse response?
💡 Hint: Recall the definitions of FIR and IIR.
True or False: All systems that rely on previous outputs are non-recursive.
💡 Hint: Consider the definitions we discussed in class.
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Challenge Problems
Push your limits with advanced challenges
Design an FIR filter characterized by its output equation: y[n] = 0.5 x[n] + 0.3 x[n-1] + 0.2 x[n-2]. Check its stability and derive its impulse response.
💡 Hint: Consider the coefficients of the output equation.
Given y[n] = 0.5 y[n-1] + x[n], analyze the stability of this IIR system by determining the pole location.
💡 Hint: Evaluate the characteristic roots to assess stability.
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Reference links
Supplementary resources to enhance your learning experience.