RLS Algorithm Implementation with MATLAB for Adaptive Interference Cancellation

This document presents the implementation of the RLS algorithm through MATLAB programming for adaptive interference cancellation. To validate the performance of our developed program, we provide signal examples including: ① mixed speech-noise signal (signalnosie.wav) and ② noise-only signal (noise.wav). Both signals are stereo format, PCM-compressed, with a sampling rate of 48,000 Hz and 16-bit resolution. The MATLAB implementation involves key components such as: - RLS filter initialization with appropriate forgetting factor and initial weights - Recursive computation of the inverse correlation matrix using the matrix inversion lemma - Real-time adaptive weight updates based on the error signal between primary and reference inputs - Spectral analysis of the cancellation results to evaluate noise reduction performance By utilizing these signal examples, we can comprehensively assess the program's functionality and effectiveness in separating speech from background noise, measuring metrics such as signal-to-noise ratio improvement and computational efficiency of the adaptive algorithm. The code structure handles the stereo nature of the signals by processing left and right channels independently while maintaining synchronization.