Adaptive Filters & System Identification with LMS Algorithm

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View profile for Pushkar Kamble

Amalthea, IIT Gandhinagar492 followers

Exploring Adaptive Filters & System Identification — My First Winter Project in Electrical Engineering This winter, I had the opportunity to dive into the world of adaptive filters and system identification, powerful tools widely used in signal processing, communication systems, audio engineering, biomedical devices, and control systems. These techniques enable systems to learn and adapt in real time, making them essential in applications like noise/echo cancellation, channel equalization, and predictive modeling. Under the guidance of Prof.Nithin George, our team — Me(Pushkar kamble), @Mayank chaudhari and Shivansh Kapur , worked on understanding the fundamentals and dynamics of adaptive filters, with a focus on the LMS (Least Mean Squares) algorithm. Prof.Nithin George shared a research paper with us that introduced concepts such as: 1.Adaptive filters & echo cancellation 2.System identification 3.Recursive Least Squares (RLS) Regularization 4.Third-order tensor decomposition 5.Nearest Kronecker product While the paper covered advanced techniques, our project mainly focused on building a strong foundation on understanding what filters are, how they are developed, and how adaptive filters update themselves over time. 📌 What we did Built intuition for adaptive filter frameworks Developed simulations to perform system identification Implemented code to test how filters adapt over iterations Analyzed how the LMS algorithm updates filter weights Observed how the error between desired and predicted output decreases over time (shown in the simulation result below) Our results showed that LMS is highly effective for adaptive system identification, offering simplicity, stability, and good convergence behavior. This was our first hands-on project in electrical engineering, and it has strengthened our interest in signal processing and intelligent systems. Grateful for the learning, mentorship, and teamwork throughout this journey. Excited to explore more in this domain! Below is the image of the simulation of an adaptive filter which we have created. #AdaptiveFilters #SystemIdentification #LMSAlgorithm #SignalProcessing #ElectricalEngineering #LearningJourney #Research #TeamWork

  • Demonstration of, How errors and values of weights are updated in an adaptive filter

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