A new variable forgetting factor QR-based recursive least M-estimate algorithm for robust adaptive filtering in impulsive noise environment

This paper proposes a new variable forgetting factor QR-based recursive least M-estimate (VFF-QRRLM) adaptive filtering algorithm for impulsive noise environment. The new algorithm is a QR-based implementation of the RLM algorithm, which offers better numerical stability and a similar robustness to impulsive noise. A new VFF control scheme based on the approximated derivatives of the filter coefficients is also proposed to improve its tracking performance. Simulation results show that the proposed algorithm not only offers improved robustness in impulsive noise environment but also possesses fast transient converging and tracking behaviours.