A frequency method for blind separation of an anechoic mixture

This paper presents a new frequency method for blind separation of mixtures of scaled and delayed versions of sources. This kind of problem can occur in air and underwater acoustics. By assuming the mutual independence of the sources, we make use of the power spectral densities and the cross power spectral densities of mixed data to estimate the sources, the mixing coefficients, and the relative delays between a reference sensor and the other sensors. Simulations on synthetic data of sound radiated by a ship show the effectiveness of the proposed method.

[1]  Dario Farina,et al.  Covariance and Time-Scale Methods for Blind Separation of Delayed Sources , 2011, IEEE Transactions on Biomedical Engineering.

[2]  Michael W. Berry,et al.  Algorithms and applications for approximate nonnegative matrix factorization , 2007, Comput. Stat. Data Anal..

[3]  ProblemsPer Christian HansenDepartment.  The L-curve and its use in the numerical treatment of inverse problems , 2000 .

[4]  S. Wales,et al.  An ensemble source spectra model for merchant ship-radiated noise. , 2002, The Journal of the Acoustical Society of America.

[5]  Lars Omlor,et al.  Anechoic Blind Source Separation Using Wigner Marginals , 2011, J. Mach. Learn. Res..

[6]  Arveson,et al.  Radiated noise characteristics of a modern cargo ship , 2000, The Journal of the Acoustical Society of America.

[7]  Thomas Hofmann,et al.  Blind source separation for over-determined delayed mixtures , 2007 .

[8]  D. Calvetti,et al.  Tikhonov regularization and the L-curve for large discrete ill-posed problems , 2000 .

[9]  J. Cardoso,et al.  Blind beamforming for non-gaussian signals , 1993 .

[10]  Rémi Gribonval,et al.  Performance measurement in blind audio source separation , 2006, IEEE Transactions on Audio, Speech, and Language Processing.

[11]  Herbert De Gersem,et al.  A Time-Frequency Technique for Blind Separation and Localization of Pure Delayed Sources , 2010, LVA/ICA.

[12]  Arie Yeredor,et al.  BLIND SOURCE SEPARATION WITH PURE DELAY MIXTURES , 2001 .

[13]  Gilles Chabriel,et al.  An instantaneous formulation of mixtures for blind separation of propagating waves , 2006, IEEE Transactions on Signal Processing.