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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the value of Ξ΄[0]?
π‘ Hint: It is defined as 1 at n=0.
Question 2
Easy
What does the unit step function u[n] equal for n=-1?
π‘ Hint: Recall the defining condition of u[n].
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 is the definition of the unit impulse function Ξ΄[n]?
- 1 at n=0; 0 elsewhere
- 0 for all n
- 1 for all n
π‘ Hint: Think about where the function has non-zero values.
Question 2
True or False: The unit step function u[n] is 1 for negative values of n.
- True
- False
π‘ Hint: Recall the definition of u[n].
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a system with an impulse response h[n] = 0.5^n u[n], compute the output for an input x[n] = Ξ΄[n]. Discuss the implications.
π‘ Hint: Consider what happens when you apply Ξ΄[n] to the impulse response.
Question 2
Create an example where a discrete signal is constructed using the sifting property of deltas. Show the calculations for x[n] = Ξ΄[n] + 2Ξ΄[n-1] + 3Ξ΄[n-2].
π‘ Hint: Pay attention to scaling and shifting within constructed signals.
Challenge and get performance evaluation