Bayesian Filtering: From Kalman Filters to Particle Filters, and Beyond. Chen, Z. Statistics, January, 2003. 01234 ZSCC: 0001234
doi  abstract   bibtex   
In this self-contained survey/review paper, we system- atically investigate the roots of Bayesian filtering as well as its rich leaves in the literature. Stochastic filtering theory is briefly reviewed with emphasis on nonlinear and non-Gaussian filtering. Following the Bayesian statistics, different Bayesian filtering techniques are de- veloped given different scenarios. Under linear quadratic Gaussian circumstance, the celebrated Kalman filter can be derived within the Bayesian framework. Optimal/suboptimal nonlinear filtering tech- niques are extensively investigated. In particular, we focus our at- tention on the Bayesian filtering approach based on sequential Monte Carlo sampling, the so-called particle filters. Many variants of the particle filter as well as their features (strengths and weaknesses) are discussed. Related theoretical and practical issues are addressed in detail. In addition, some other (new) directions on Bayesian filtering are also explored.
@article{chen_bayesian_2003,
	title = {Bayesian {Filtering}: {From} {Kalman} {Filters} to {Particle} {Filters}, and {Beyond}},
	volume = {182},
	shorttitle = {Bayesian {Filtering}},
	doi = {10/bkztpw},
	abstract = {In this self-contained survey/review paper, we system- atically investigate the roots of Bayesian filtering as well as its rich leaves in the literature. Stochastic filtering theory is briefly reviewed with emphasis on nonlinear and non-Gaussian filtering. Following the Bayesian statistics, different Bayesian filtering techniques are de- veloped given different scenarios. Under linear quadratic Gaussian circumstance, the celebrated Kalman filter can be derived within the Bayesian framework. Optimal/suboptimal nonlinear filtering tech- niques are extensively investigated. In particular, we focus our at- tention on the Bayesian filtering approach based on sequential Monte Carlo sampling, the so-called particle filters. Many variants of the particle filter as well as their features (strengths and weaknesses) are discussed. Related theoretical and practical issues are addressed in detail. In addition, some other (new) directions on Bayesian filtering are also explored.},
	journal = {Statistics},
	author = {Chen, Zhe},
	month = jan,
	year = {2003},
	note = {01234 
ZSCC: 0001234},
	keywords = {Unread},
}

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