D. Starer et A. Nehorai, PASSIVE LOCALIZATION OF NEAR-FIELD SOURCES BY PATH-FOLLOWING, IEEE transactions on signal processing, 42(3), 1994, pp. 677-680
A new algorithm for passively estimating the ranges and bearings of mu
ltiple narrow-band sources using a uniform linear sensor array is pres
ented. The algorithm is computationally efficient and converges global
ly. It minimizes the MUSIC cost function subject to geometrical constr
aints imposed by the curvature of the received wavefronts. The estimat
ion problem is reduced to one of solving a set of two coupled 2-D poly
nomial equations. The proposed algorithm solves this nonlinear problem
using a modification of the path-following (or homotopy) method. For
an array having m sensors, the algorithm reduces the global 2-D search
over range and bearing to 2(m - 1) independent 1-D searches. This imp
arts a high degree of parallelism that can be exploited to obtain sour
ce location estimates very efficiently.