Dynamic variable step size LMS adaptation algorithms -- Application to adaptive feedforward noise attenuation

TL;DR

This paper investigates dynamic step size algorithms for LMS adaptive filters, enhancing noise attenuation performance through a generic DAG implementation and experimental validation.

Contribution

It introduces a generic DAG framework for VS-LMS algorithms and provides criteria for selecting DAG coefficients, improving transient adaptation performance.

Findings

Enhanced noise attenuation with DAG-based VS-LMS algorithms

Criteria for positive real transfer operator coefficients

Experimental validation on active noise control system

Abstract

The paper explores in detail the use of dynamic adaptation gain/step size (DAG) for improving the adaptation transient performance of variable step-size LMS (VS-LMS) adaptation algorithms. A generic form for the implementation of the DAG within the VS-LMS algorithms is provided. Criteria for the selection of the coefficients of the DAG filter which is required to be a strictly positive real transfer operator are given. The potential of the VS-LMS adaptation algorithms using a DAG is then illustrated by experimental results obtained on a relevant adaptive active noise attenuation system.