Sonic Source Estimation via Antichain Length

The patent introduces an intermediary computational framework that processes location estimates and temporal data to derive the minimum number of sources. This framework acts as a mediator between uncertain location measurements and the final source count estimation, using graph theory and antichain analysis to systematically handle the uncertainties without requiring high precision in individual location estimates.

The patent replaces complex iterative computational methods with a more efficient mathematical approach based on graph theory and Dilworth's theorem. By modeling the problem as finding the minimum path cover in a directed acyclic graph, the solution achieves polynomial time complexity instead of requiring computationally intensive brute-force or iterative optimization methods, thereby reducing computational complexity while maintaining reliability.

The patent segments the estimation process into distinct computational stages: constructing the event graph from observed data, determining the partial order relationship between events, and applying Dilworth's theorem to find the minimum path cover. This segmentation allows the method to process data systematically without requiring simplifying assumptions about source behavior, thereby maintaining accuracy while achieving computational tractability through structured analysis.