The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Approximate non-Gaussian filtering with linear state and observation relations
Abstract
Two approaches to the non-Gaussian filtering problem are presented. The proposed filters retain the computationally attractive recursive structure of the Kalman filter and they approximate well the exact minimum variance filter in cases where either 1) the state noise is Gaussian or its variance small in comparison to the observation noise variance, or 2) the observation noise is Gaussian and the system is one step observable. In both cases, the state estimate is formed as a linear prediction corrected by a nonlinear function of past and present observations. Some simulation results are presented.
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Citations
Cites
A New Approach to Linear Filtering and Prediction Problems
Kalman, R. E. (1960) · Journal of Basic Engineering · doi:10.1115/1.3662552 · Cited by 31,751
New Results in Linear Filtering and Prediction Theory
Kalman, R. E., & Bucy, R. S. (1961) · Journal of Basic Engineering · doi:10.1115/1.3658902 · Cited by 6,387
Maximum likelihood estimates of linear dynamic systems
RAUCH, H. E., TUNG, F., & STRIEBEL, C. T. (1965) · AIAA Journal · doi:10.2514/3.3166 · Cited by 1,943
Recursive bayesian estimation using gaussian sums
Sorenson, H. W., & Alspach, D. L. (1971) · Automatica · doi:10.1016/0005-1098(71)90097-5 · Cited by 952
The 1972 Wald Lecture Robust Statistics: A Review
Huber, P. J. (1972) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177692459 · Cited by 649
A Bayesian approach to problems in stochastic estimation and control
Ho, Y., & Lee, R. (1964) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1964.1105763 · Cited by 638
Cited by
The horseshoe estimator for sparse signals
Carvalho, C. M., Polson, N. G., & Scott, J. G. (2010) · Biometrika · doi:10.1093/biomet/asq017 · Cited by 1,381
Recurrent neural networks and robust time series prediction
Connor, J. T., Martin, R. D., & Atlas, L. E. (1994) · IEEE Transactions on Neural Networks · doi:10.1109/72.279188 · Cited by 1,316
Metadata
- Authors
- Masreliez, C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1975-02
- Volume
- 20
- Issue
- 1
- Pages
- 107-110
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2171618211
- Cited by
- 369
- References
- 6
- FWCI
- 0.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Masreliez, C. (1975). Approximate non-Gaussian filtering with linear state and observation relations. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1975.1100882
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
