Research Article
Oct 1979
Kalman Filter Modeling of the Speed River Quality
Authors: Thomas W. Constable and Edward A. McBeanAuthor Affiliations
Publication: Journal of the Environmental Engineering Division
Volume 105, Issue 5
Abstract
The extended Kalman filter is applied to the results of two sampling surveys conducted on the Speed River, Ontario. Magnitudes of carbonaceous and nitrogenous BOD components for these surveys are determined. Parameter magnitudes are estimated using Rosenbrock's parameter estimation technique, and the measurement error convariance matrix for each measurement vector is established. Filtered estimates of carbonaceous oxygen demand, nitrogenous oxygen demand, and dissolved oxygen deficit concentrations are obtained. In addition, the carbonaceous and nitrogenous BOD reaction rates, the carbonaceous BOD sedimentation rate, and the maximum daily rate of photosynthetic oxygen production are estimated. The utility of the extended Kalman filter to use all available information coming from both the system model of the stream processes and measurements of the state variables to provide approximate minimum variance estimates of the state and confidence limits of these estimates is shown.
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Information
Published In
Journal of the Environmental Engineering Division
Volume 105 • Issue 5 • October 1979
Pages: 961 - 978
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Oct 1979
Published online: Feb 11, 2021
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Authors
Affiliations
Thomas W. Constable
Process Devolopment Engr.; Wastewater Tech. Centre, Environmental Protection Service, Burlington, Ontario, Canada; formerly, Research Engr., Waterloo Research Inst., Waterloo, Ontario, Canada, Canada
Edward A. McBean
Assoc. Prof.; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada, Canada
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