Practice Step 1: Design Analog Low-pass Filter (8.3) - IIR Filters: Simple Design Example
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Step 1: Design Analog Low-Pass Filter

Practice - Step 1: Design Analog Low-Pass Filter

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for the transfer function of a first-order low-pass filter?

💡 Hint: Think about how we describe filters in the s-domain.

Question 2 Easy

How do you calculate the time constant τ for a given cutoff frequency?

💡 Hint: Remember the relationship between time constant and frequency.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the transfer function of a first-order low-pass filter?

H(s) = K/(τs + 1)
H(s) = τ/(K + s)
H(s) = s/(K + τ)

💡 Hint: Recall how transfer functions are structured.

Question 2

True or False: The gain K is typically set to 0 for low-pass filters.

True
False

💡 Hint: Consider the purpose of the gain in relation to the output signal.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A low-pass filter is specified with a cutoff frequency of 10 Hz. Calculate the time constant τ and derive the transfer function.

💡 Hint: Use the formula for τ first.

Challenge 2 Hard

Discuss how increasing the order of the low-pass filter to 2 affects the filter's response compared to a first-order filter.

💡 Hint: Think about how the filter behaves across different frequency ranges.

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Reference links

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