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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Describe how to calculate the output duration when convolving two signals.
💡 Hint: Think about how the lengths of both signals contribute to the output.
Question 2
Easy
If x[n] is non-zero from n=0 to n=4 and h[n] from n=0 to n=3, what is the duration of y[n]?
💡 Hint: Apply the width property formula.
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 formula to calculate the output duration of y[n] when convolving x[n] and h[n]?
- Nx + Nh
- Nx + Nh - 1
- Nx - Nh
💡 Hint: Remember the durations of both sequences.
Question 2
True or False: The output duration can never be less than the input duration.
- True
- False
💡 Hint: Consider the implications of overlapping signals.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have an input signal x[n] from n=-1 to n=2 and an impulse response h[n] from n=1 to n=3. Calculate the output duration and explain the steps.
💡 Hint: Make sure to determine the non-zero samples accurately.
Question 2
Suppose in a digital audio processing system, you have an input duration from n=0 to n=20 and an impulse length from n=5 to n=10. Discuss the implications of their convolution results in terms of output duration.
💡 Hint: Focus on how this affects the system's buffering capabilities.
Challenge and get performance evaluation