Practice Mapping Analog To Digital (7.3.2) - IIR Filters: Impulse Invariant and Bilinear Transform Methods of Design
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Mapping Analog to Digital

Practice - Mapping Analog to Digital

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does T represent in the transformation equation?

💡 Hint: Think of how often we sample the signal.

Question 2 Easy

Define what is meant by analog filter.

💡 Hint: Consider filters you might find in an audio circuit.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the transformation equation z = e^{sT} illustrate?

Mapping from digital to analog
Mapping from analog to digital
Mapping from discrete to continuous

💡 Hint: Think about which direction the transformation goes.

Question 2

True or False: The impulse invariant method can accurately preserve high-frequency details.

True
False

💡 Hint: Consider the limitations mentioned earlier.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a sampling rate of 44.1 kHz, calculate the sampling period T.

💡 Hint: What is the relationship between sampling rate and period?

Challenge 2 Hard

Discuss how the Impulse Invariant Method impacts high-frequency response in digital filters compared to lower frequencies.

💡 Hint: Look at the characteristics of high-frequency signals.

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Reference links

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