Practice Step Response (s[n]) - 6.1.1.4 | Module 6: Time Domain Analysis of Discrete-Time Systems | Signals and Systems
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

6.1.1.4 - Step Response (s[n])

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the step response of a discrete-time system.

πŸ’‘ Hint: Think about the input function used.

Question 2

Easy

What is the relationship between step response and impulse response?

πŸ’‘ Hint: What happens when you sum the impulse responses?

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 step response s[n] indicate about a DT-LTI system?

  • It's the output with a step input
  • It's the impulse response
  • It shows only overshoot

πŸ’‘ Hint: What type of input are we talking about?

Question 2

True or False: The step response can be derived from the impulse response.

  • True
  • False

πŸ’‘ Hint: Think about the mathematical relationship.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If a system has an impulse response given by h[n] = 0.7^n u[n], find its step response.

πŸ’‘ Hint: What series does this contribute to?

Question 2

Determine the characteristics of overshoot and settling time for a system with step response s[n] = 1 - e^(-0.5n)u[n].

πŸ’‘ Hint: Reflect on the limit as n applies.

Challenge and get performance evaluation