Practice - Properties of Z-Transform
Practice Questions
Test your understanding with targeted questions
What is the property of linearity in Z-transforms?
💡 Hint: Think about how summations work.
How do you compute the Z-transform of a delayed signal?
💡 Hint: Refer to the time-shifting property.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the linearity property of the Z-Transform state?
💡 Hint: Consider how signals combine.
True or False: The time reversal property states Z{x[-n]} = X(z) at ROC R.
💡 Hint: Think about the effect on the Z-transform variable.
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Challenge Problems
Push your limits with advanced challenges
Given a sequence x[n] = δ[n - 2] + 3δ[n - 1], find its Z-transform and explain each step.
💡 Hint: Recall what the Z-transform of an impulse function is.
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.
💡 Hint: Consider the location of poles in relation to the unit circle.
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Reference links
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