Practice Step 2: Apply The Impulse Invariant Method (8.4) - IIR Filters: Simple Design Example
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Step 2: Apply the Impulse Invariant Method

Practice - Step 2: Apply the Impulse Invariant Method

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the Impulse Invariant Method.

💡 Hint: Think about how it converts the analog characteristics.

Question 2 Easy

What does the time constant (τ) relate to?

💡 Hint: Consider the formula for τ in relation to cutoff frequency.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What transformation is used in the Impulse Invariant Method?

s = 1 - z^-1
s = 2/(T)(1 - z^-1)/(1 + z^-1)
s = (1 - z^-1)/T

💡 Hint: Consider the context of impulse response.

Question 2

True or False: The Impulse Invariant Method is good for applications requiring high frequency response fidelity.

True
False

💡 Hint: Reflect on the qualities of the method versus others.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using a low-pass filter with a desired cutoff frequency of 0.5 Hz, derive the z-domain transfer function using the Impulse Invariant Method.

💡 Hint: Utilize the cutoff frequency to calculate your time constant, then follow through the transformation.

Challenge 2 Hard

Explain why the Impulse Invariant Method might not be suitable for all filter designs, citing specific examples.

💡 Hint: Consider the limitations of time-domain preservation against frequency fidelity.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.