1. A method of reconstruction of target locations and amplitudes from signals received from one or more real targets in a space, wherein the signals are at least one of signals received from the near-field and broadband signals, said method comprising the steps of: modeling the space as a region of interest; calculating an array manifold matrix from signals received from hypothetical targets in the region of interest; reshaping one or more signal vectors received from the one or more real targets into a data vector; identifying a hypothetical target configuration that, when applied to a signal model comprising the array manifold matrix, matches the data vector, and calculating a reconstruction vector; reshaping the reconstruction vector into a reconstructed representation of the real targets in the space; and performing at least one of outputting the reconstructed representation for viewing by a user, and storing the reconstructed representation for later use.