Practice Shift Property - 6.1.3.4 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
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6.1.3.4 - Shift Property

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Think about the timing of the output.

Question 2

Easy

Is the Shift Property applicable only to LTI systems?

πŸ’‘ Hint: Consider what properties define an LTI system.

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 Shift Property state about the output of an LTI system?

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

πŸ’‘ 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

πŸ’‘ Hint: Consider the meaning of time-invariance.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Consider how shifting affects unit step functions.

Question 2

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

πŸ’‘ Hint: Think of how time-invariance helps manage responses.

Challenge and get performance evaluation