Practice Problem Statement (8.2) - IIR Filters: Simple Design Example - Digital Signal Processing
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Problem Statement

Practice - Problem Statement

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Practice Questions

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Question 1 Easy

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

💡 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.

💡 Hint: It is the rate at which the analog signal is sampled.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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

0.5 Hz
1 Hz
2 Hz
5 Hz

💡 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

💡 Hint: Consider the trade-offs between complexity and performance.

1 more question available

Challenge Problems

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Challenge 1 Hard

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

💡 Hint: Use the formula connecting τ and cutoff frequency.

Challenge 2 Hard

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?

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

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