Detection nonidentifiability for independent Gaussian sources in nonuniform linear antenna arrays

Nonidentifiability with respect to detection is derived, and is found to be the condition that the covariance matrix of a mixture of a particular number of independent Gaussian sources plus noise is identical to that of another mixture of a different number of such sources. This condition is formula...

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Bibliographic Details
Published inProceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467) Vol. 1; pp. 116 - 119 vol.1
Main Authors Abramovich, Yu.I., Spencer, N.K.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2001
Subjects
Australia
Covariance matrix
Direction of arrival estimation
Geometry
History
Linear antenna arrays
Linear programming
Signal processing
Signal resolution
Surveillance
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Summary:Nonidentifiability with respect to detection is derived, and is found to be the condition that the covariance matrix of a mixture of a particular number of independent Gaussian sources plus noise is identical to that of another mixture of a different number of such sources. This condition is formulated in terms of the rank-deficiency of some matrix that is related to the antenna geometry's co-array. We propose and discuss a method to determine the detection identifiability or otherwise of any given nonuniform linear antenna array.
ISBN:9780780367036
0780367030
DOI:10.1109/ISSPA.2001.949789