Practice Inverse Z-Transform - 7.2 | Module 7 - Z-Transform Analysis of Discrete-Time Systems | Signals and Systems
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7.2 - Inverse Z-Transform

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of the Inverse Z-Transform?

πŸ’‘ Hint: Think about why we need to go back from the Z-domain.

Question 2

Easy

Name one method of performing the Inverse Z-Transform.

πŸ’‘ Hint: Recap the methods discussed in class.

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 Inverse Z-Transform allow us to do?

  • Convert a sequence into frequency domain
  • Convert a Z-Transform back into a sequence
  • Find the poles of a system

πŸ’‘ Hint: What is the goal when you apply the IZT?

Question 2

True or False: The ROC is not important for the inverse Z-Transform.

  • True
  • False

πŸ’‘ Hint: Reflect on what happens without the ROC.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Provide the Inverse Z-Transform for X(z) = 2 / (1 - 0.5z^(-1)) with ROC |z| > 0.5.

πŸ’‘ Hint: Use the known partial fraction pairs.

Question 2

Explain how you would solve for x[n] if given a pole at z = 1/2 with the ROC being |z| < 1/2.

πŸ’‘ Hint: Think about how the ROC affects the transformation type.

Challenge and get performance evaluation