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The problem of target motion analysis (TMA) has been extensively investigated using bearing-only (BO), Doppler-bearing (DB), and other measurement data. For radio frequency (RF) emitters, signal powers follow the well-known path loss law that can be utilized to aid localization and target tracking in BO-TMA, leading to the novel power-bearing (PB) approach as proposed in this paper. Our main contribution lies in the proof of the asymptotic optimality of the total least-squares (TLS) algorithm for PB-TMA under some mild condition. The Cramér-Rao lower bound (CRLB) is employed to demonstrate the performance improvements of the PB-TMA over the BO-TMA. Our work shows the promise of the PB-TMA approach for RF signals.