Line of Sight Component Identification and Positioning in Single Frequency Networks Under Multipath Propagation

Broadcasting signals have been recognized as promising candidates for navigation and positioning needs. However, in most single frequency broadcasting networks, the transmitter confusion problem poses a huge obstacle. Not holding the transmitter identities, the receiver cannot determine the distance to the transmitters, let alone its own position. What’s worse, considering the existence of multipath propagation, the receiver is unable to distinguish line of sight (LOS) components from non line of sight components, which makes positioning even harder. In this paper, a two-step method is proposed to solve the positioning problem in single frequency networks (SFNs) under multipath propagation yet with direct path. First, a probability approach is proposed to identify all LOS components iteratively. Then, it is proved in this paper that a receiver can determine its position when receiving LOS signals from at least five transmitters without the knowledge of transmitter identities. Detailed analysis is carried out in this paper to derive error bounds and performance limits from different perspectives. Simulation results show that the proposed algorithm can achieve high accuracy of positioning across multiple environments. Besides, the proposed methodology is general, which can be used in any SFN or other wireless networks for positioning needs.

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