Title :
Detection-estimation of more uncorrelated Gaussian sources than sensors in nonuniform linear antenna arrays - part III: detection-estimation nonidentifiability
Author :
Abramovich, Yuri I. ; Spencer, Nicholas K. ; Gorokhov, Alexei Y.
Author_Institution :
Intelligence, Surveillance, & Reconnaissance Div., Defence Sci. & Technol. Organ., Adelaide, SA, Australia
Abstract :
For pt.II see ibid., vol.51, no.6, p.1492-507 (2003). We investigate nonidentifiability conditions for the detection-estimation problem with multiple uncorrelated plane waves incident upon a nonuniform (sparse) linear antenna array. Specifically, we define conditions under which a given Hermitian covariance matrix has a nonunique (multiple) decomposition into an admissible number of dyads weighted by the source powers and a white-noise identity matrix. Our method is based on the Proukakis-Manikas technique of generating ambiguity generator sets (AGSs) and allows ambiguous sets of sources associated with a given sparse antenna geometry to be determined.
Keywords :
Hermitian matrices; array signal processing; covariance matrices; direction-of-arrival estimation; linear antenna arrays; matrix decomposition; set theory; signal detection; source separation; white noise; DOA estimation; Hermitian covariance matrix; Hermitian matrix; Proukakis-Manikas technique; ambiguity generator sets; ambiguous sets; detection-estimation nonidentifiability; dyads; matrix decomposition; multiple uncorrelated plane waves; nonuniform linear antenna arrays; sparse antenna geometry; sparse linear antenna array; uncorrelated Gaussian sources; white-noise identity matrix; Antenna arrays; Australia; Covariance matrix; Direction of arrival estimation; Geometry; Intelligent sensors; Linear antenna arrays; Sensor arrays; Signal processing; Sparse matrices;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2003.816859
