Time-delay and Doppler-shift based geolocation in the presence of outliers

We address the problem of locating a stationary transmitter using receivers embedded in fast moving platforms. It is required to estimate the emitter location using time-delay and Doppler-shift measurements realized by the receivers at successive locations along their trajectories. Most publications consider small error measurements only, and overlook the possible presence of outliers in the set of time-delay and Doppler-shift measurements. In this work we discuss localization in the presence of outliers, where several measurements are severely corrupted while sufficient other measurements are reasonably precise. Following convexity and sparsity principles, we propose a localization algorithm with robustness against outliers.