Abstract: Systems and methods are described for super-resolving electromagnetic localization by obtaining electric field data and/or magnetic field data captured over a period of time by at least one multi-channel recording device having a first resolution, applying holographic backpropagation constrained by sparsity approximation and/or low-rank approximation in a near-field and/or a far-field to the captured data, reconstructing electromagnetic energy flow information at a second resolution in one iteration, the second resolution being higher than the first resolution in at least two of three spatial dimensions, and generating data indicating an energy source location, an energy sink location, and/or a causality relation based on the electromagnetic energy flow information at the second resolution.

Abstract: Systems and methods are described for super-resolving electromagnetic localization by obtaining electric field data and/or magnetic field data captured over a period of time by at least one multi-channel recording device having a first resolution, applying holographic backpropagation constrained by sparsity approximation and/or low-rank approximation in a near-field and/or a far-field to the captured data, reconstructing electromagnetic energy flow information at a second resolution in one iteration, the second resolution being higher than the first resolution in at least two of three spatial dimensions, and generating data indicating an energy source location, an energy sink location, and/or a causality relation based on the electromagnetic energy flow information at the second resolution.