Practice - Time Shifting
Practice Questions
Test your understanding with targeted questions
What happens to the Z-transform of a signal when it is shifted by 2 samples?
💡 Hint: Think about how delays affect the transform.
Define time shifting in the context of Z-transform.
💡 Hint: Focus on what you do to the signal.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of shifting a signal x[n] by 2 samples?
💡 Hint: Remember the definition of time shifting in Z-transform.
True or False: Time shifting introduces a positive factor in the Z-transform.
💡 Hint: Focus on the direction of the shift.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given a discrete-time signal x[n] = sin(ω₀n), find the Z-transform after shifting the signal by k samples.
💡 Hint: Write out the transformation and adjust based on time shifts.
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.
💡 Hint: Analyze the impact of time shifting on the stability criterion.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.