1. A processor circuit-implemented 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: receiving one or more signal vectors representative of the signals received from the one or more real targets in the space, the signals obtained using an array of sensors; using at least one processor circuit, programmed for modeling the space as a region of interest; using the at least one processor circuit, programmed for calculating an array manifold matrix from signals received from hypothetical targets in the region of interest; using the at least one processor circuit, programmed for reshaping the one or more signal vectors received from the one or more real targets into a data vector; using the at least one processor circuit, programmed for 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 using information about the identified hypothetical target configuration; using the at least one processor circuit, programmed for reshaping the reconstruction vector into a reconstructed representation of the real targets in the space; and using the at least one processor circuit, programmed for performing at least one of outputting the reconstructed representation for viewing by a user, and storing the reconstructed representation for later use.