Practice - Graphical Representation - 6.1.1.1.2
Practice Questions
Test your understanding with targeted questions
What is the graphical representation of the impulse function δ[n]?
💡 Hint: Think about what the function represents at different time indices.
What value does δ[n] take for n = 1?
💡 Hint: Recall the definition of the impulse function.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What value does the discrete-time impulse function take for n=0?
💡 Hint: Remember how the impulse function is defined mathematically.
True or False: The unit step function is non-zero for values of n less than 0.
💡 Hint: Think about the graph of the step function.
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Challenge Problems
Push your limits with advanced challenges
Given a discrete signal x[n] = (1/2)^n * u[n] and knowing the impulse response h[n] = δ[n] + 0.5δ[n-1], calculate the output using convolution.
💡 Hint: Use the convolution formula and remember the basics of linearity and time-invariance.
If a system is represented by h[n] = 2δ[n] - δ[n-1], how would the output change for an impulse input compared to a step input?
💡 Hint: Consider how impulses superimposed change when integrated over time.
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