Application of Conjugate Unscented Transform in source parameters estimation

Reza Madankan, Puneet Singla, Tarunraj Singh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

A polynomial chaos based minimum variance method is introduced to solve inverse problems. Two different set of quadrature points, Conjugate Unscented Transform and Gauss Legendre quadrature points, are being used to perform the estimation process. The main concentration of this paper is to show the efficiency of Conjugate Unscented Transform points versus Gauss Legendre quadrature scheme. For validation purposes, an advection-diffusion simulation code, SCIPUFF (Second-order Closure Integrated PUFF) is being used as a modeling testbed to study the effect of both these quadrature schemes on solution of an inverse problem. Simulation results show efficiency of Conjugate Unscented Transform versus Gauss-Legendre quadratures.

Original languageEnglish (US)
Title of host publication2013 American Control Conference, ACC 2013
Pages2448-2453
Number of pages6
StatePublished - Sep 11 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: Jun 17 2013Jun 19 2013

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period6/17/136/19/13

Fingerprint

Parameter estimation
Mathematical transformations
Inverse problems
Advection
Testbeds
Chaos theory
Polynomials

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Madankan, R., Singla, P., & Singh, T. (2013). Application of Conjugate Unscented Transform in source parameters estimation. In 2013 American Control Conference, ACC 2013 (pp. 2448-2453). [6580201] (Proceedings of the American Control Conference).
Madankan, Reza ; Singla, Puneet ; Singh, Tarunraj. / Application of Conjugate Unscented Transform in source parameters estimation. 2013 American Control Conference, ACC 2013. 2013. pp. 2448-2453 (Proceedings of the American Control Conference).
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Madankan, R, Singla, P & Singh, T 2013, Application of Conjugate Unscented Transform in source parameters estimation. in 2013 American Control Conference, ACC 2013., 6580201, Proceedings of the American Control Conference, pp. 2448-2453, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 6/17/13.

Application of Conjugate Unscented Transform in source parameters estimation. / Madankan, Reza; Singla, Puneet; Singh, Tarunraj.

2013 American Control Conference, ACC 2013. 2013. p. 2448-2453 6580201 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - A polynomial chaos based minimum variance method is introduced to solve inverse problems. Two different set of quadrature points, Conjugate Unscented Transform and Gauss Legendre quadrature points, are being used to perform the estimation process. The main concentration of this paper is to show the efficiency of Conjugate Unscented Transform points versus Gauss Legendre quadrature scheme. For validation purposes, an advection-diffusion simulation code, SCIPUFF (Second-order Closure Integrated PUFF) is being used as a modeling testbed to study the effect of both these quadrature schemes on solution of an inverse problem. Simulation results show efficiency of Conjugate Unscented Transform versus Gauss-Legendre quadratures.

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Madankan R, Singla P, Singh T. Application of Conjugate Unscented Transform in source parameters estimation. In 2013 American Control Conference, ACC 2013. 2013. p. 2448-2453. 6580201. (Proceedings of the American Control Conference).