Geolocation using TDOA and FDOA Measurements in sensor networks Using Non-Linear Elements

Passive geo-location of communication emitters provides great benefits to military and civilian surveillance and security operations. Time Difference of Arrival (TDOA) and Frequency Difference of Arrival (FDOA) measurement combination for stationary emitters may be obtained by sensors mounted on mobile platforms, for example on a pair of UAVs. Complex Ambiguity Function (CAF) of received complex signal scan be efficiently calculated to provide required TDOA / FDOA measurement combination. TDOA and FDOA measurements are nonlinear in the sense that the emitter uncertainty given measurements in the Cartesian domain is non-Gaussian. Multiple non-linear measurements of emitter location need to be fused to provide the geo-location estimates. Gaussian Mixture Measurement(GMM) filter fuses nonlinear measurements as long as the uncertainty of each measurement in the surveillance (Cartesian)space is modeled by a Gaussian Mixture. Simulation results confirm this approach and compare it with geo-location using Bearings Only (BO) measurements.