Practice Shift Property (6.1.3.4) - Time Domain Analysis of Discrete-Time Systems
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Shift Property

Practice - Shift Property

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to the output when the input signal is shifted?

💡 Hint: Think about the timing of the output.

Question 2 Easy

Is the Shift Property applicable only to LTI systems?

💡 Hint: Consider what properties define an LTI system.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Shift Property state about the output of an LTI system?

It remains unchanged.
It shifts with the input.
It doubles the output.

💡 Hint: Think back to the definition we discussed.

Question 2

Is a system that responds differently to inputs at different times time-invariant?

True
False

💡 Hint: Consider the meaning of time-invariance.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a discrete signal x[n] = u[n] (unit step function), find the output when it is shifted by 3 samples.

💡 Hint: Consider how shifting affects unit step functions.

Challenge 2 Hard

In a control system where both input and system response are modified, analyze the timing effects due to shifting.

💡 Hint: Think of how time-invariance helps manage responses.

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Reference links

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