Practice System Function H(z) (7.5) - Z-Transform Analysis of Discrete-Time Systems
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

System Function H(z)

Practice - System Function H(z)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is H(z)?

💡 Hint: It relates to the impulse response.

Question 2 Easy

What do zeros of H(z) indicate?

💡 Hint: Think about frequency components!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the System Function H(z) represent?

The Fourier Transform
The Laplace Transform
The Z-Transform of the impulse response

💡 Hint: Think about the discrete-time representation!

Question 2

True or False: A causal system has poles outside the unit circle.

True
False

💡 Hint: Causality vs stability - what's the relationship?

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a DT-LTI System with H(z) = (1 - z^(-1))(1 - 0.5z^(-1)) / (1 - 1.2z^(-1) + 0.36z^(-2)), determine the poles, zeros, and ROC.

💡 Hint: To find poles, set the denominator to zero and solve.

Challenge 2 Hard

Describe how changes in the pole locations affect the stability and frequency response of H(z).

💡 Hint: Consider how magnitudes relate to stability!

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.