A Band-independent Variable Step Size Proportionate Normalized Subband Adaptive Filter Algorithm

TL;DR

This paper introduces a versatile variable step size strategy for PNSAF-type adaptive filters, enhancing convergence and accuracy in echo cancellation without relying on proportionate principles.

Contribution

It proposes a novel VSS method that can be applied to any PNSAF-type algorithm, improving convergence speed and steady-state error performance.

Findings

Effective in acoustic echo cancellation simulations

Improves convergence rate and reduces steady-state error

Applicable to various PNSAF-type algorithms

Abstract

Proportionate-type normalized suband adaptive filter (PNSAF-type) algorithms are very attractive choices for echo cancellation. To further obtain both fast convergence rate and low steady-state error, in this paper, a variable step size (VSS) version of the presented improved PNSAF (IPNSAF) algorithm is proposed by minimizing the square of the noise-free a posterior subband error signals. A noniterative shrinkage method is used to recover the noise-free a priori subband error signals from the noisy subband error signals. Significantly, the proposed VSS strategy can be applied to any other PNSAF-type algorithm, since it is independent of the proportionate principles. Simulation results in the context of acoustic echo cancellation have demonstrated the effectiveness of the proposed method.