Practice - Width Property (Duration of Output)
Practice Questions
Test your understanding with targeted questions
Describe how to calculate the output duration when convolving two signals.
💡 Hint: Think about how the lengths of both signals contribute to the output.
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.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to calculate the output duration of y[n] when convolving x[n] and h[n]?
💡 Hint: Remember the durations of both sequences.
True or False: The output duration can never be less than the input duration.
💡 Hint: Consider the implications of overlapping signals.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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