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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of the Z-Transform?
💡 Hint: Think about its significance to the Laplace Transform.
Question 2
Easy
Write the mathematical expression for the Z-Transform.
💡 Hint: This involves summation of discrete-time signals.
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 primary purpose of the Z-Transform?
- To analyze continuous signals
- To study discrete-time signals
- To visualize time-domain signals
💡 Hint: Remember its connection with Laplace Transform.
Question 2
True or False: The Z-Transform can only be applied to periodic signals.
- True
- False
💡 Hint: Consider the applications of Z-Transform in practical systems.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a discrete-time signal defined as x[n] = (0.5)^n for n >= 0 and 0 otherwise, determine its Z-Transform and identify the ROC.
💡 Hint: Apply the Z-transform definition and remember the geometric series.
Question 2
A signal has a Z-Transform with parameters showing poles outside the unit circle. What can be inferred about the stability of this system?
💡 Hint: Think about how pole positions affect system stability in the Z-domain.
Challenge and get performance evaluation