Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother

@article{Einicke2007AsymptoticOO,
  title={Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother},
  author={G. Einicke},
  journal={IEEE Transactions on Signal Processing},
  year={2007},
  volume={55},
  pages={1543-1547}
}
  • G. Einicke
  • Published 2007
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • This correspondence investigates the asymptotic performance of the discrete-time and continuous-time, time-varying, minimum-variance, fixed-interval smoothers. Comparison theorems are generalized to provide sufficient conditions for the monotonic convergence of the underlying Riccati equations. Under these conditions, the energy of the estimation errors asymptotically approach a lower bound and attain lscr2 /L2 stability 
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    References

    SHOWING 1-10 OF 18 REFERENCES
    Optimal and robust noncausal filter formulations
    • G. Einicke
    • Computer Science, Mathematics
    • IEEE Transactions on Signal Processing
    • 2006
    • 31
    • PDF
    H/sub infinity /-minimum error state estimation of linear stationary processes
    • 197
    Estimation theory with applications to communications and control
    • 541
    Adaptive &Optimal Control for SISO Plant
    • 55
    Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations
    • 47