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Induction resolvers are commonly used as coordinate converters in many systems in which vector resolution is required. In systems that require several coordinate conversions, the error due to the conversion mechanism may limit the accuracy of the system. Because of the inherent nonlinear nature of coordinate conversion, this error is, in general, difficult to determine. In this paper, a resolver model and a statistical basis for computing the error due to the conversion mechanism are developed. Two example resolver coordinate converters and the confidence limits for their resolution accuracy are presented.