New Sub-Band Proportionate Variable NLMS Algorithm for the Identification of Acoustical Dispersive-and-Sparse Impulse Responses

This paper presents a modified algorithm for addressing acoustic impulse responses identification for communication systems.This study introduces an enhanced sub-band version of variable-step-size -law proportionate normalized least-mean-square algorithm for achieving rapid convergence and minimal steady-state error.This algorithm is noted as SPV-NLMS: Sub-band Proportionate Variables-step-sizes NLMS algorithm.The proposed SPV-NLMS algorithm is dynamically and independently adjusting the N step-sizes parameters during adaptation using an optimal estimation of each sub-filter.The SPV-NLMS is adaptable and can be employed with various acoustic more dispersive, dispersive, more sparse or sparse environments.The effectiveness of this algorithm is validated through simulations in the context of acoustic impulse response identification.The SPV-NLMS algorithm has the potential to significantly improve the convergence and the steady-state error using the Mean Square Error (MSE) and Echo Return Loss Enhancement (ERLE) criteria.