Simulation and Comparative Analysis of LMS and RLS Algorithms

In this research, we conducted comprehensive simulation analysis of both LMS and RLS algorithms using MATLAB simulation software. The implementation involved creating adaptive filter structures with systematic parameter tuning - for LMS algorithms using the 'adaptfilt.lms' function with configurable step sizes, and for RLS algorithms utilizing 'adaptfilt.rls' with adjustable forgetting factors. We compared the convergence speeds through iterative weight update processes and performed detailed analysis of bit error rates after algorithm convergence. Additionally, we systematically investigated the impact of step size parameters on the mean square error performance curves of LMS algorithms, and examined how forgetting factors affect the performance characteristics of RLS algorithms. Our simulation code incorporated real-time performance monitoring and statistical analysis modules, enabling comprehensive understanding of both algorithms' characteristics and yielding valuable conclusions regarding their practical implementation considerations.