Signal Equalization Using RLS Algorithm-Based Adaptive Filter

This MATLAB source code implements signal equalization using an adaptive filter based on the RLS (Recursive Least Squares) algorithm. The implementation employs a filter structure that automatically adjusts its coefficients based on input signal characteristics, providing optimal equalization performance. The RLS algorithm recursively computes filter weights by minimizing the weighted least squares error criterion, offering faster convergence compared to LMS-based approaches. Key components include initialization of the correlation matrix, computation of the gain vector, and recursive updating of filter coefficients. The code demonstrates practical implementation of matrix inversion lemma for efficient computation, avoiding direct matrix inversion through iterative updates. This implementation allows users to achieve real-time signal equalization in MATLAB environments, suitable for various applications requiring adaptive signal processing such as communication systems and acoustic echo cancellation.