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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What value does the discrete-time impulse function Ξ΄[n] take at n=0?
π‘ Hint: Think about the definition.
Question 2
Easy
What value does Ξ΄[n] take for n β 0?
π‘ Hint: Recall the characteristics 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 Ξ΄[n] take at n=0?
- 0
- 1
- Undefined
π‘ Hint: Refer back to the definition of Ξ΄[n].
Question 2
Can all discrete-time signals be represented as a sum of impulses?
- True
- False
π‘ Hint: Investigate the implications of the sifting property.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a DT-LTI system with an impulse response h[n] = Ξ΄[n-1] + 0.5Ξ΄[n-2], derive the output y[n] when the input x[n] = Ξ΄[n].
π‘ Hint: Think about how convolution works with impulse functions.
Question 2
If a discrete signal x[n] can be expressed as x[n] = 3Ξ΄[n-1] + 2Ξ΄[n], derive the representation and significance using the sifting property.
π‘ Hint: Apply the principle of scaling impulses through the signal representation.
Challenge and get performance evaluation