Practice Problem Statement - 8.2 | 8. IIR Filters: Simple Design Example | Digital Signal Processing
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8.2 - Problem Statement

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the analog cutoff frequency specified for our filter design?

πŸ’‘ Hint: Look for the frequency parameter for cutoff in the problem statement.

Question 2

Easy

Define the sampling frequency in the context of our filter design.

πŸ’‘ Hint: It is the rate at which the analog signal is sampled.

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 analog cutoff frequency specified for the filter design?

  • 0.5 Hz
  • 1 Hz
  • 2 Hz
  • 5 Hz

πŸ’‘ Hint: Revisit the specifications detailed in the problem statement.

Question 2

True or False: A higher order filter will always result in better performance in every case.

  • True
  • False

πŸ’‘ Hint: Consider the trade-offs between complexity and performance.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a cutoff frequency of 1 Hz and a sampling frequency of 10 Hz, calculate the time constant Ο„. Discuss how this time constant affects the filter's performance.

πŸ’‘ Hint: Use the formula connecting Ο„ and cutoff frequency.

Question 2

Design a low-pass filter with the following specifications: a cutoff frequency of 2 Hz and a sampling frequency of 20 Hz. What adjustments would you make compared to the original design?

πŸ’‘ Hint: Think about how changes in specs would affect your calculations and design choices.

Challenge and get performance evaluation