Practice Step 1: Design Analog Low-Pass Filter - 8.3 | 8. IIR Filters: Simple Design Example | Digital Signal Processing
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8.3 - Step 1: Design Analog Low-Pass Filter

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Think about how we describe filters in the s-domain.

Question 2

Easy

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

πŸ’‘ Hint: Remember the relationship between time constant and frequency.

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 transfer function of a first-order low-pass filter?

  • H(s) = K/(Ο„s + 1)
  • H(s) = Ο„/(K + s)
  • H(s) = s/(K + Ο„)

πŸ’‘ 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

πŸ’‘ Hint: Consider the purpose of the gain in relation to the output signal.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Use the formula for Ο„ first.

Question 2

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

πŸ’‘ Hint: Think about how the filter behaves across different frequency ranges.

Challenge and get performance evaluation