Detection-estimation of more uncorrelated gaussian sources than sensors in nonuniform linear antenna arrays. III. Detection-estimation nonidentifiability
Yuri I. Abramovich, N.K. Spencer, Alexei Y. Gorokhov · IEEE Transactions on Signal Processing · 2003
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.