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Article: Solution of the continuous Kalman filter equations using the transmission line method

TitleSolution of the continuous Kalman filter equations using the transmission line method
Authors
KeywordsAlgorithms
Computer Simulation
Monte Carlo Methods
Transmission Line Theory
Issue Date1992
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207217.asp
Citation
International Journal Of Electronics, 1992, v. 73 n. 2, p. 271-286 How to Cite?
AbstractA novel method is presented for the solution of the one-dimensional continuous Kalman filter equations implemented on a digital computer. The Kalman filter is implemented in an unusual way as a transmission line circuit. Estimated variables are regarded as discrete pulses bouncing to and from the nodes in the transmission line network at each time step. This approach is tested on a problem of voltage estimation in a passive electrical network in the presence of voltmeter errors. The transmission line method is compared with the results that are obtained using the Gear first- and third-order methods, the fourth-order Runge-Kutta method and the application of the discrete Kalman filter. It is found that the transmission line method has a tendency to yield less biased estimates than the other algorithms as well as providing smoother estimates for sampling times approaching the time constant of the circuit.
Persistent Identifierhttp://hdl.handle.net/10722/136929
ISSN
2015 Impact Factor: 0.414
2015 SCImago Journal Rankings: 0.221

 

DC FieldValueLanguage
dc.contributor.authorHui, SYRen_HK
dc.contributor.authorWoolfson, MSen_HK
dc.date.accessioned2011-07-29T02:13:36Z-
dc.date.available2011-07-29T02:13:36Z-
dc.date.issued1992en_HK
dc.identifier.citationInternational Journal Of Electronics, 1992, v. 73 n. 2, p. 271-286en_HK
dc.identifier.issn0020-7217en_HK
dc.identifier.urihttp://hdl.handle.net/10722/136929-
dc.description.abstractA novel method is presented for the solution of the one-dimensional continuous Kalman filter equations implemented on a digital computer. The Kalman filter is implemented in an unusual way as a transmission line circuit. Estimated variables are regarded as discrete pulses bouncing to and from the nodes in the transmission line network at each time step. This approach is tested on a problem of voltage estimation in a passive electrical network in the presence of voltmeter errors. The transmission line method is compared with the results that are obtained using the Gear first- and third-order methods, the fourth-order Runge-Kutta method and the application of the discrete Kalman filter. It is found that the transmission line method has a tendency to yield less biased estimates than the other algorithms as well as providing smoother estimates for sampling times approaching the time constant of the circuit.en_HK
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207217.aspen_HK
dc.relation.ispartofInternational Journal of Electronicsen_HK
dc.subjectAlgorithmsen_US
dc.subjectComputer Simulationen_US
dc.subjectMonte Carlo Methodsen_US
dc.subjectTransmission Line Theoryen_US
dc.titleSolution of the continuous Kalman filter equations using the transmission line methoden_HK
dc.typeArticleen_HK
dc.identifier.emailHui, SYR:ronhui@eee.hku.hken_HK
dc.identifier.authorityHui, SYR=rp01510en_HK
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0026909224en_HK
dc.identifier.volume73en_HK
dc.identifier.issue2en_HK
dc.identifier.spage271en_HK
dc.identifier.epage286en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridHui, SYR=7202831744en_HK
dc.identifier.scopusauthoridWoolfson, MS=7004481204en_HK

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