Practice Step Response (s[n]) (6.1.1.4) - Time Domain Analysis of Discrete-Time Systems
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Step Response (s[n])

Practice - Step Response (s[n])

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the step response of a discrete-time system.

💡 Hint: Think about the input function used.

Question 2 Easy

What is the relationship between step response and impulse response?

💡 Hint: What happens when you sum the impulse responses?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 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

💡 Hint: Think about the mathematical relationship.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: What series does this contribute to?

Challenge 2 Hard

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

💡 Hint: Reflect on the limit as n applies.

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Reference links

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