Practice Unit Impulse (dirac Delta) Function, Δ(t) Or Δ[n] (1.3.1) - Introduction to Signals and Systems
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Unit Impulse (Dirac Delta) Function, δ(t) or δ[n]

Practice - Unit Impulse (Dirac Delta) Function, δ(t) or δ[n]

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Explain the area property of the Dirac delta function.

💡 Hint: Think about how the function behaves over time.

Question 2 Easy

What is the value of δ[t] when t = 0?

💡 Hint: Consider what the impulse function represents.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the value of δ(t) when t ≠ 0?

0
1
Infinity

💡 Hint: Reflect on the properties of the Dirac delta function.

Question 2

True or False: The area of the Dirac delta function over its entire domain is equal to zero.

True
False

💡 Hint: Consider the integration property of impulse functions.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A system's output is given by y(t) = K*δ(t - t0). If K = 3 and t0 = 2 seconds, what is the output at t = 2 seconds?

💡 Hint: Remember the location property of the delta function.

Challenge 2 Hard

How would you express the relationship between the unit step function and the impulse function in terms of integration?

💡 Hint: Recall the fundamental relationships between the two functions.

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Reference links

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