Practice Difference Equation Representation of DT-LTI Systems - 6.2 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.2 - Difference Equation Representation of DT-LTI Systems

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Briefly describe a difference equation.

πŸ’‘ Hint: Think about the mathematical relationships we discussed.

Question 2

Easy

What does FIR stand for?

πŸ’‘ Hint: Recall the definitions of different systems.

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

Which type of system has a finite impulse response?

  • FIR
  • IIR
  • Both

πŸ’‘ Hint: Recall the definitions of FIR and IIR.

Question 2

True or False: All systems that rely on previous outputs are non-recursive.

  • True
  • False

πŸ’‘ Hint: Consider the definitions we discussed in class.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Consider the coefficients of the output equation.

Question 2

Given y[n] = 0.5 y[n-1] + x[n], analyze the stability of this IIR system by determining the pole location.

πŸ’‘ Hint: Evaluate the characteristic roots to assess stability.

Challenge and get performance evaluation