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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the property of linearity in Z-transforms?
π‘ Hint: Think about how summations work.
Question 2
Easy
How do you compute the Z-transform of a delayed signal?
π‘ Hint: Refer to the time-shifting property.
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 linearity property of the Z-Transform state?
- Z{ax[n]} = aZ{x[n]}
- Z{x[n]+y[n]} = Z{x[n]} + Z{y[n]}
- Both A and B
π‘ Hint: Consider how signals combine.
Question 2
True or False: The time reversal property states Z{x[-n]} = X(z) at ROC R.
- True
- False
π‘ Hint: Think about the effect on the Z-transform variable.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a sequence x[n] = Ξ΄[n - 2] + 3Ξ΄[n - 1], find its Z-transform and explain each step.
π‘ Hint: Recall what the Z-transform of an impulse function is.
Question 2
Using a system governed by the difference equation y[n] = 2y[n-1] + x[n], solve for Y(z) and discuss the implications of poles relative to stability.
π‘ Hint: Consider the location of poles in relation to the unit circle.
Challenge and get performance evaluation