Practice Lms Algorithm: Update Rule (11.5.1) - Adaptive Filters: Prediction and System Identification
Students

Academic Programs

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

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

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

LMS Algorithm: Update Rule

Practice - LMS Algorithm: Update Rule

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the LMS algorithm aim to minimize?

💡 Hint: Think about the error in predictions.

Question 2 Easy

What is the role of the step-size parameter (μ) in the LMS algorithm?

💡 Hint: Does it speed up or slow down the learning process?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the function of the step-size parameter in the LMS algorithm?

To determine the stability of the algorithm
To control the adaptation speed
To adjust the filter order

💡 Hint: It’s all about how quickly things can change.

Question 2

True or False: A larger step-size parameter always leads to better performance in adaptive filtering.

True
False

💡 Hint: Too much of a good thing can be bad.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Assume you are given a desired signal with known variations. How would you set your step-size parameter (μ) to ensure both speed and stability in LMS algorithm? Propose a method for its selection.

💡 Hint: What strategies do you know for selecting parameters in algorithms?

Challenge 2 Hard

Given a sample input signal, develop a pseudocode for applying the LMS algorithm, including initialization, updating the weights, and monitoring the error.

💡 Hint: How would you structure a simple algorithm loop?

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.