Steady-state analysis of the NLMS algorithm with reusing coefficient vector and a method for improving its performance

The reuse of past coefficient vectors of the NLMS for reducing the steady-state MSD in a low signal-to-noise ratio (SNR) was proposed recently. Its convergence analysis has not been studied yet, so we first derive a steady-state analysis for the NLMS with reusing coefficient vectors for a special case. In addition, this approach slows down the convergence speed while decreasing the steady-state MSD in proportion to the number of reusing coefficient vectors. To address this trade-off, we propose a novel NLMS algorithm which can change the reusing order to achieve both fast convergence speed and low steady-state MSD. The reusing order is decreased or increased by comparing the squared output error with a threshold. The experimental results show that the theoretical results match well with simulation results and the proposed algorithm has fast convergence speed and small steady-state MSD compared to the conventional NLMS.

• Type: Journal
• Year: 2011
• Where: ICASSP
• Authors: Seong-Eun Kim, Jae-Woo Lee, Woo-Jin Song
• Keywords: Coefficient Vectors, ICASSP 2011, NLMS, Signal Processing, Steady-state Msd