Systems and methods for super-resolving electromagnetic localization and causality

A system for super-resolving electromagnetic localization, the system comprising:

• at least one multi-channel recording device for capturing data including at least one of electric field data and magnetic field data over a period of time, the at least one multi-channel recording device having a first resolution;
• at least one memory to record the captured data and to store processor executable instructions;
• and
• at least one processor coupled to the at least one multi-channel recording device and the at least one memory, wherein upon execution of the processor executable instructions by the at least one processor, the at least one processor:
• applies holographic backpropagation to the captured data, the holographic backpropagation constrained by at least one of sparsity and low-rank approximation in at least one of a near-field and a far-field;
• reconstructs electromagnetic energy flow information at a second resolution in one iteration, the electromagnetic energy flow information comprising a Poynting vector, the second resolution being higher than the first resolution in at least two of three spatial dimensions;
• and
• generates, based on the electromagnetic energy flow information at the second resolution, data indicating at least one of an energy source location, an energy sink location, and a causality relation.

A system for super-resolving electromagnetic localization, the system comprising:

• at least one communication interface;
• at least one memory to record the captured data and to store processor executable instructions;
• and
• at least one processor coupled to the at least one communication interface and the at least one memory, wherein upon execution of the processor executable instructions by the at least one processor, the at least one processor:
• obtains, via the at least one communication interface, the captured data including at least one of electric field data and magnetic field data captured over a period of time by at least one multi-channel recording device, the at least one multi-channel recording device having a first resolution;
• applies holographic backpropagation to the captured data, the holographic backpropagation constrained by at least one of sparsity and low-rank approximation in at least one of a near-field and a far-field;
• reconstructs electromagnetic energy flow information at a second resolution in one iteration, the electromagnetic energy flow information comprising a Poynting vector, the second resolution being higher than the first resolution in at least two of three spatial dimensions;
• and
• generates, based on the electromagnetic energy flow information at the second resolution, data indicating at least one of an energy source location, an energy sink location, and a causality relation.

A method for super-resolving electromagnetic neuroimaging, the method comprising:

• obtaining captured data including at least one of electric field data and magnetic field data from neural tissue of a subject over a period of time by at least one multi-channel recording device, the at least one multi-channel recording device having a first resolution;
• applying, via at least one processor, holographic backpropagation to the captured data, the holographic backpropagation constrained by at least one of sparsity and low-rank approximation in at least one of a near-field and a far-field;
• reconstructing, via the at least one processor, electromagnetic energy flow information at a second resolution in one iteration, the electromagnetic energy flow information comprising a Poynting vector, the second resolution being higher than the first resolution in at least two of three spatial dimensions;
• and
• generating, via the at least one processor, data indicating at least one of a neural energy source location, a neural energy sink location, and a neural causality relation based on the electromagnetic energy flow information at the second resolution.

A method for super-resolving electromagnetic localization, the method comprising:

• obtaining captured data including at least one of electric field data and magnetic field data captured over a period of time by at least one multi-channel recording device, the at least one multi-channel recording device having a first resolution;
• applying holographic backpropagation to the captured data, the holographic backpropagation constrained by at least one of sparsity and low-rank approximation in at least one of a near-field and a far-field;
• reconstructing electromagnetic energy flow information at a second resolution in one iteration, the electromagnetic energy flow information comprising a Poynting vector, the second resolution being higher than the first resolution in at least two of three spatial dimensions;
• and
• generating data indicating at least one of an energy source location, an energy sink location, and a causality relation based on the electromagnetic energy flow information at the second resolution.