TY - GEN

T1 - A novel direct approach for blind source separation based on the characteristic function

AU - Yeredor, A.

N1 - Publisher Copyright:
© 2000 IEEE.

PY - 2000

Y1 - 2000

N2 - We propose a new "direct-form" algorithm for blind source separation. In contrast to "iterative-form" algorithms, in a "direct-form" algorithm the mixing matrix is estimated directly from the observed data, using a single pass to collect some statistics. The statistics exploited by our algorithm are the empirical second-derivative matrices of the second joint characteristic function of the observations, evaluated at selected points, termed "processing points". Applying approximate joint diagonalization to these matrices yields a consistent estimate of the mixing matrix (under some mild regularity conditions) in the noiseless as well as in the noisy case, whenever the noise is Gaussian and spatially white. For spatially correlated Gaussian noise, a slightly modified version of the algorithm can still produce consistent estimates. The performance depends strongly on the choice of processing points, and can compare favorably to other BSS algorithms.

AB - We propose a new "direct-form" algorithm for blind source separation. In contrast to "iterative-form" algorithms, in a "direct-form" algorithm the mixing matrix is estimated directly from the observed data, using a single pass to collect some statistics. The statistics exploited by our algorithm are the empirical second-derivative matrices of the second joint characteristic function of the observations, evaluated at selected points, termed "processing points". Applying approximate joint diagonalization to these matrices yields a consistent estimate of the mixing matrix (under some mild regularity conditions) in the noiseless as well as in the noisy case, whenever the noise is Gaussian and spatially white. For spatially correlated Gaussian noise, a slightly modified version of the algorithm can still produce consistent estimates. The performance depends strongly on the choice of processing points, and can compare favorably to other BSS algorithms.

KW - Additive noise

KW - Blind source separation

KW - Decorrelation

KW - Gaussian noise

KW - Proposals

KW - Source separation

KW - Statistics

KW - Time domain analysis

KW - Vectors

KW - Yield estimation

UR - http://www.scopus.com/inward/record.url?scp=84949566343&partnerID=8YFLogxK

U2 - 10.1109/SAM.2000.878031

DO - 10.1109/SAM.2000.878031

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AN - SCOPUS:84949566343

T3 - Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop

SP - 365

EP - 369

BT - Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000

PB - IEEE Computer Society

T2 - IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000

Y2 - 16 March 2000 through 17 March 2000

ER -