An efficient stabilized fast Newton adaptive filtering algorithm for stereophonic acoustic echo cancellation SAEC

This paper addresses the field of stereophonic acoustic echo cancellation (SAEC) by adaptive filtering algorithms. Recently, we have proposed a new version of the fast Newton transversal FNTF algorithm for SAEC applications. In this paper, we propose an efficient modification of this algorithm for the same applications. This new algorithm uses a new proposed and simplified numerical stabilization technique and takes into account the cross-correlation between the inputs of the channels. The basic idea is to introduce a small nonlinearity into each channel that has the effect of reducing the inter-channel coherence while not being noticeable for speech due to self masking. The complexity of the proposed algorithm does not alter the complexity of the original version and is kept less than half the complexity of the fastest two-channel FTF filter version. Simulation results and comparisons with the extended two-channel normalized least mean square NLMS and FTF algorithms are presented.

(a) Convergence performance of Algorithm E2CLMS, 2CFTF, 2CFNTF (M2CFNTF with β = 0) and the proposed M2CFNTF algorithm with β = 0.5, α1 = 0.75 and α2 = 0.85. Input: USASI noise. L1 = L2 = 256; N1 = N2=20; Output SNR = 60 dB. There is a jump at block 150 (each block contains 256 samples). (b) Temporal evolution of the MSE for the E2CLMS, 2CFTF, 2CFNTF (M2CFNTF with β = 0) and the proposed M2CFNTF algorithms with β = 0.5, α1 = 0.75 and α2 = 0.85. Input: speech signal of figure 3: L1 = L2 = 1024, μ1 = μ2 = 0.5, λ = 0.99985, μv1 = μv2 = 0.85; output SNR = 60 dB.Figure optionsDownload as PowerPoint slideHighlights
► We propose an efficient and stabilized new version of the two-channel FNTF algorithm.
► The proposed two-channel FNTF algorithm uses a new modified technique that well decorrelates the stereophonic input signals.
► An efficient and simple numerical stabilization technique is proposed and applied to the proposed two-channel FNTF algorithm.
► Convergence speed of the proposed FNTF algorithm in SAEC applications is significantly improved.