Topological Localization Via Signals of Opportunity

We consider problems of localization, disambiguation, and mapping in a domain filled with signals-of-opportunity generated by transmitters. One or more (static or mobile) receivers utilize these signals and from them characterize the domain, localize, disambiguate, etc. The tools we develop are topological in nature, and rely on interpreting the problem as one of embedding the domain into a sufficiently high-dimensional space of signals via a signal profile function. Varying kinds of signal processing (TOA, TDOA, DOA, etc.) and discretization are addressed. Finally, we describe experiments that demonstrate the feasibility of these ideas in practice.