Practice LMS Algorithm: Update Rule - 11.5.1 | 11. Adaptive Filters: Prediction and System Identification | Digital Signal Processing
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the LMS algorithm aim to minimize?

πŸ’‘ Hint: Think about the error in predictions.

Question 2

Easy

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

πŸ’‘ Hint: Does it speed up or slow down the learning process?

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 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

πŸ’‘ 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

πŸ’‘ Hint: Too much of a good thing can be bad.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: What strategies do you know for selecting parameters in algorithms?

Question 2

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

πŸ’‘ Hint: How would you structure a simple algorithm loop?

Challenge and get performance evaluation