Practice - The Discrete-Time Impulse Function (Unit Sample Sequence)
Practice Questions
Test your understanding with targeted questions
What value does the discrete-time impulse function δ[n] take at n=0?
💡 Hint: Think about the definition.
What value does δ[n] take for n ≠ 0?
💡 Hint: Recall the characteristics of the impulse function.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What value does the discrete-time impulse function δ[n] take at n=0?
💡 Hint: Refer back to the definition of δ[n].
Can all discrete-time signals be represented as a sum of impulses?
💡 Hint: Investigate the implications of the sifting property.
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Challenge Problems
Push your limits with advanced challenges
Given a DT-LTI system with an impulse response h[n] = δ[n-1] + 0.5δ[n-2], derive the output y[n] when the input x[n] = δ[n].
💡 Hint: Think about how convolution works with impulse functions.
If a discrete signal x[n] can be expressed as x[n] = 3δ[n-1] + 2δ[n], derive the representation and significance using the sifting property.
💡 Hint: Apply the principle of scaling impulses through the signal representation.
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