Time-Reversal Source Reconstruction with Arbitrary-Order Kurtosis

Source localization and reconstructions are critical in successful designs and developments of electronic circuits and systems, for they can determine undesired radiating sources and elements, especially in RF and microwave frequency ranges. The electromagnetic time-reversal (TR) method is one of the techniques for source reconstruction for its algorithmic simplicity without computations involving Green's functions. However, the conventional TR method has limited accuracy and effectiveness when working with realistic equipment that measures field signals only with limited frequency bandwidth. To mitigate the problem, this paper proposes arbitrary-order kurtosis and applies it in the TR process. Numerical examples show that kurtosis can work with band-limited signals effectively for accurate and practical TR source localization and reconstructions.