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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the graphical representation of the impulse function Ξ΄[n]?
π‘ Hint: Think about what the function represents at different time indices.
Question 2
Easy
What value does Ξ΄[n] take for n = 1?
π‘ Hint: Recall the definition of the impulse function.
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 value does the discrete-time impulse function take for n=0?
- 1
- 0
- -1
- undefined
π‘ Hint: Remember how the impulse function is defined mathematically.
Question 2
True or False: The unit step function is non-zero for values of n less than 0.
- True
- False
π‘ Hint: Think about the graph of the step function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a discrete signal x[n] = (1/2)^n * u[n] and knowing the impulse response h[n] = Ξ΄[n] + 0.5Ξ΄[n-1], calculate the output using convolution.
π‘ Hint: Use the convolution formula and remember the basics of linearity and time-invariance.
Question 2
If a system is represented by h[n] = 2Ξ΄[n] - Ξ΄[n-1], how would the output change for an impulse input compared to a step input?
π‘ Hint: Consider how impulses superimposed change when integrated over time.
Challenge and get performance evaluation