Normalized LMS (NLMS), LMS, VSLMS, and VSNLMS Algorithms for the Main Filter in Acoustic Echo Cancellation (AEC)

In acoustic echo cancellation (AEC) systems, we employ normalized LMS (NLMS), LMS, VSLMS, and VSNLMS algorithms for the main adaptive filter. These algorithms significantly reduce echo interference, enhance audio quality, and ensure clear communication. The normalized LMS (NLMS) algorithm dynamically adjusts filter coefficients using step-size normalization based on input signal power, making it more stable than standard LMS in varying acoustic environments. The LMS algorithm updates filter weights using the least mean squares criterion, minimizing the mean square error between desired and actual signals through gradient descent optimization. VSLMS (Variable Step-size LMS) and VSNLMS (Variable Step-size NLMS) represent enhanced versions that adaptively control the step-size parameter based on convergence state, improving both tracking capability and steady-state performance. These implementations typically involve real-time coefficient updates using weight adaptation equations and error signal computations. Through these sophisticated filtering techniques, we achieve superior echo cancellation performance, delivering enhanced audio experiences for end-users in communication systems.