To mitigate the loss of satellite navigation signals in indoor environments, we propose an active reconfigurable intelligent surface (ARIS) empowered satellite positioning approach. Deployed on building structures, ARIS reflects navigation signals to indoor receivers to bypass obstructions, providing high-precision positioning services to receivers in non-line-of-sight (NLoS) areas. The path between ARIS and the receiver is defined as the extended line-of-sight (ELoS) path and an improved carrier phase observation equation is derived to accommodate that. The receiver compensates for its clock bias through network time synchronization, corrects the actual signal path satellite-ARIS-receiver to the satellite-receiver distance through a distance correction algorithm, and determines its position by using the least squares (LS) method.
Simulation results show that: in indoor environments, with time synchronization accuracy within a 10 ns error range, the proposed method provides positioning services with errors not exceeding 4 m.