HIGHER-ORDER NARROW-BAND ARRAY PROCESSING Jean-FrançoisCardoso
Ura Cnrs · 1991
This communication deals with narrow-band array processing using higher-order cumulants. A versatile formalism is presented and adopted throughout to handle higher-order statistics of complex multivariates. We essentially focus on the use 4th-order cumulants for source localization in the spirit of the modern subspace techniques. We discuss full cumulant tensor solutions and their downsized versions in matrix form. Higher-order cumulants are usually advocated for in presence of additive Gaussian noise, but other potential advantages often are overlooked : non-Gaussian sensor noise cancellation, more sources than sensors ability, blind identification. This is discussed via the notion of fourth-order signal subspace. The paper is not intended as being a review, but other related approaches based on higher-order statistics are briefly reported.