Iterative Frequency-Weighted Filtering and Smoothing Procedures

@article{Einicke2014IterativeFF,
  title={Iterative Frequency-Weighted Filtering and Smoothing Procedures},
  author={Garry A. Einicke},
  journal={IEEE Signal Processing Letters},
  year={2014},
  volume={21},
  pages={1467-1470}
}
  • G. Einicke
  • Published 22 July 2014
  • Mathematics, Engineering
  • IEEE Signal Processing Letters
Minimum-variance filters and smoothers exhibit performance degradations when they are designed with inexact models and noise statistics. Filter and smoother estimation errors are assumed herein to be generated by a first-order moving-average system. This assumed system is identified and used to design a frequency weighting function to improve mean square error performance. It is shown under prescribed conditions that the sequence of frequency-weighted estimation error variances are… 
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References

SHOWING 1-10 OF 14 REFERENCES
Optimal and robust noncausal filter formulations
  • G. Einicke
  • Mathematics
    IEEE Transactions on Signal Processing
  • 2006
TLDR
The paper describes an optimal minimum-variance noncausal filter or fixed-interval smoother that involves a cascade of a KalMan predictor and an adjoint Kalman predictor and demonstrates that optimal, robust, and extended Kalman smoothers can provide performance benefits.
Solution of the H∞ optimal linear filtering problem for discrete-time systems
TLDR
The solution of l/sub 2/ (minimum variance) and H/ sub infinity / estimation problems is considered using a polynomial systems approach and the two types of estimator are appropriate to very different estimation problems and the new H/sub infinity / devices should be valuable in certain application areas.
Optimal and Robust Estimation: With an Introduction to Stochastic Control Theory, Second Edition
OPTIMAL ESTIMATION Classical Estimation Theory Mean-Square Estimation Maximum-Likelihood Estimation The Cramer-Rao Bound Recursive Estimation Wiener Filtering Problems Discrete-Time Kalman Filter…
Riccati Equation and EM Algorithm Convergence for Inertial Navigation Alignment
This correspondence investigates the convergence of a Kalman filter-based expectation-maximization (EM) algorithm for estimating variances. It is shown that if the variance estimates and the error…
H/sub 2/ iterative model refinement and control robustness enhancement
TLDR
A paradigm is developed for an iterative design of a system identification procedure operating on closed-loop data together with successive refinement of the designed controller to account for evaluated modeling error in the control design.
EM Algorithm State Matrix Estimation for Navigation
TLDR
The convergence of an expectation-maximization (EM) algorithm for state matrix estimation is investigated and it is established that the residual error variances are monotonically dependent on the design and observed error covariances.
Robust H/sub infinity / filtering with parametric uncertainty and deterministic input signal
Many dynamical signal processes involve not only process and measurement noises but also parameter uncertainty and known input signals. When an L/sub 2/ and H/sub infinity / filter designed based on…
Perceptually weighted distortion measures and the tandem connection of speech codecs
  • N. Shetty, J. Gibson
  • Business
    2008 IEEE International Conference on Acoustics, Speech and Signal Processing
  • 2008
TLDR
The impact of perceptual weighting filters on tandem coding is studied using the rate distortion theory of discrete-time autoregressive (AR) sources with a frequency weighted error criterion and by examining tandem connections involving the AMR-NB codec.
Robust control of discrete time uncertain dynamical systems
Robust control of a 2D acoustic enclosure
This paper reports experimental results in the application of feedback control of acoustic noise in a 2D enclosure. It is shown that the feedback control of 2D enclosures poses peculiar problems…
...
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2
...