Detection of more uncorrelated Gaussian sources than sensors using fully augmentable sparse antenna arrays
Yuri I. Abramovich, N.K. Spencer, A.Y. Gorakhov · 2002
We introduce a new approach to the detection problem for "fully augmentable" arrays (whose set of intersensor differences is complete). We propose a transformation of the directly augmented (non-positive-definite) Toeplitz matrix into a p.d. Toeplitz matrix T/sub /spl mu// with the proper number of equal minimum eigenvalues, appropriate for the candidate number of sources /spl mu/. Comparison of the results of these best-fit transformations over the range of candidates then allows us to select the most likely number of sources m/spl circ/ using traditional criteria. Simulation results demonstrate the high performance of this method.