Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a Linear Time-Invariant system.
π‘ Hint: Focus on the words 'linearity' and 'time invariance'.
Question 2
Easy
What is homogeneity in the context of LTI systems?
π‘ Hint: Think of how the output scales with the input.
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 property states that the output scales proportionally with the input?
- Homogeneity
- Additivity
- Time Invariance
π‘ Hint: Focus on input-output relationships.
Question 2
True or False: An LTI system's output can change if the input is shifted in time.
- True
- False
π‘ Hint: Consider what invariance means here.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider an LTI system with an impulse response given by h(t) = e^{-at}u(t). What will the output response be if the input is x(t) = sin(Οt)u(t)?
π‘ Hint: Remember to break down the sine function using Euler's formula.
Question 2
Describe a real-world system and justify its approximation as an LTI system under certain conditions.
π‘ Hint: Think about conditions that ensure linear actions without overload.
Challenge and get performance evaluation