Phase recovery for time of arrival estimation in the presence of interference

Time of arrival is a commonly used mechanism for geolocation. In many environments, multipath propagation of RF signals limits accuracy. Wide bandwidths reduce the impact of multipath propagation, but frequently results in interference from other devices. When the bandwidth is assembled from several measured sub-bands, there is an additional difficulty of a random phase offset between bands. In this paper, we introduce a compressive sensing scheme which recovers both corrupted samples and phase offsets between sub-bands. For interferers with bandwidths up to 12 MHz, we further show that the proposed scheme leads to improved localisation accuracy compared to previously published techniques.