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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What happens to the Z-transform of a signal when it is shifted by 2 samples?
π‘ Hint: Think about how delays affect the transform.
Question 2
Easy
Define time shifting in the context of Z-transform.
π‘ Hint: Focus on what you do to the signal.
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 result of shifting a signal x[n] by 2 samples?
- z^{-2}X(z)
- z^{2}X(z)
- X(z-2)
π‘ Hint: Remember the definition of time shifting in Z-transform.
Question 2
True or False: Time shifting introduces a positive factor in the Z-transform.
- True
- False
π‘ Hint: Focus on the direction of the shift.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a discrete-time signal x[n] = sin(Οβn), find the Z-transform after shifting the signal by k samples.
π‘ Hint: Write out the transformation and adjust based on time shifts.
Question 2
Suppose a system with a Z-transform which is stable experiences a delay of 4 samples. Is the system still stable post shift? Justify your answer.
π‘ Hint: Analyze the impact of time shifting on the stability criterion.
Challenge and get performance evaluation