In this paper, the theoretical error evaluation of a coupling coefficient is discussed to establish the design method for a novel magnetic-resonance-coupling-based distance sensor using a relay antenna. In the proposed system, the target position is estimated by measuring the coupling coefficient between the transmitter part and the target antenna. The contributions of this paper are as follows. First, a new configuration of a novel magnetic-resonance-coupling-based distance sensor using a relay antenna is proposed. Second, the error rate of the estimated coupling coefficient is formulated on the basis of the equivalent circuit model. Finally, the theoretical formula of the error rate of the estimated coupling coefficient is validated through experiments.
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