Abstract
In this paper, we present an asymptotic analysis of a recursive cross-coupled Kalman filter algorithm for estimating the state of a partially observed bilinear stochastic system. The cross-coupled Kalman filter algorithm consists of two Kalman filters – each Kalman filter estimating the state of one of the two state components of the bilinear system. Our asymptotic analysis provides weak convergence results on the tracking capabilities of the resulting cross-coupled Kalman filter algorithm.
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