Abstract
We present a general method for estimating the location of small scatterers buried in a random, weakly scattering medium, using an active antenna array. The main features of this method are (i) an arrival time analysis of the echo received from the scatterers, (ii) a singular value decomposition of the array response matrix in the frequency domain, and (iii) the construction of an objective function in the time domain that is statistically stable and peaks on the scatterers. By statistically stable we mean that the objective function is self-averaging over different realizations of the medium. This is a new approach to array imaging that is motivated by recent studies of time reversal in a random medium. It combines features from seismic imaging like arrival time analysis with frequency domain radar signal subspace methodology like MUSIC (MUltiple SIgnal Classification).
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