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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the convolution sum represent?
π‘ Hint: Think about how inputs affect outputs in a linear system.
Question 2
Easy
What is the impulse function denoted as?
π‘ Hint: Recall the special function that focuses all energy at a single point.
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 is the output of a DT-LTI system represented by?
- A single impulse response
- The convolution of the input signal and the impulse response
- The summation of all past outputs
π‘ Hint: Think about how the output relates to the input and the system's characteristics.
Question 2
True or False: Linearity in systems allows us to add different responses together.
- True
- False
π‘ Hint: Consider how combining signals works in systems.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a discrete-time system with impulse response h[n] = 0.5Ξ΄[n] + 0.5Ξ΄[n-1]. If the input signal x[n] = u[n] (unit step), find the output y[n] using convolution.
π‘ Hint: Remember to evaluate non-zero overlapping pairs of the signals.
Question 2
If you composite two input signals, x[n] = Ξ΄[n] and h[n] = u[n], what will be the resulting output signal using convolution?
π‘ Hint: Consider what happens when you convolve with an impulse.
Challenge and get performance evaluation