Optimal MAP estimation of bilinear systems via the EM algorithm

作者: V. Krishnamurthy , L. Johnston , A. Logothetis

DOI: 10.1109/ICASSP.1998.681627

关键词: Kalman filterMathematical optimizationExpectation–maximization algorithmBilinear interpolationMaximum a posteriori estimationIterative methodExtended Kalman filterBilinear mapAlgorithmSequential estimationMathematics

摘要: We present a finite dimensional iterative algorithm for optimal maximum posteriori (MAP) state estimation of bilinear systems. Bilinear models are appealing in their ability to represent or approximate broad class nonlinear show that several previously considered the literature special cases general model we propose. Our is based on expectation-maximization (EM) and outperforms widely used extended Kalman filter (EKF). Unlike EKF our an (in MAP sense) finite-dimensional solution sequence problem models.

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