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This paper focuses on the distributed static estimation problem and a BeliefPropagation (BP) based estimation algorithm is proposed. We provide a completeanalysis for convergence and accuracy of it. More precisely, we offerconditions under which the proposed distributed estimator is guaranteed toconverge and we give concrete characterizations of its accuracy. Our resultsnot only give a new algorithm with good performance but also provide a usefulanalysis framework to learn the properties of a distributed algorithm. Ityields better theoretical understanding of the static distributed stateestimator and may generate more applications in the future.

Convergence and Accuracy Analysis for A Distributed Static State Estimator based on Gaussian Belief Propagation