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Blind Beamforming for Non Gaussian Signals-英文文献
BLIND BEAMFORMING
FOR NON GAUSSIAN SIGNALS
JeanFrancois Cardoso Antoine Souloumiac
Tel ecom Paris CNRS URA GdR TdSI
rue Barrault PARIS
email cardososigenstfr
Reprint from IEE Pro ceedingsF vol no pp dec
Note This version p osted Jan corrects a typ o in the published manuscript In the
description of step and step of the algorithm in section one now correctly reads hn rather
that h as was rst erroneously written
p
Abstract
This pap er considers an application of blind identication to b eamforming The key p oint
is to use estimates of directional vectors rather than resorting to their hyp othesized value
By using estimates of the directional vectors obtained via blind identicatio n ie without
knowing the arrray manifold b eamforming is made robust with resp ect to array deformations
distortion of the wave front p ointing errors etc so that neither array calibration nor
physical mo deling are necessary Rather surprisingly blind b eamformers may outp erform
informed b eamformers in a plausibl e range of parameters even when the array is perfectly
known to the informed beamformer
The key assumption blind identicati on relies on is the statistical indep endence of the
sources which we exploit using fourthorder cumulants A computationall y ecient technique
is presented for the blind estimation of directional vectors based on joint diagonaliza tion of
thorder cumulant matrices its implementation is describ ed and p erformance is investigated
by numerical exp eriments
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