@inproceedings{ea52f96880bd40eab500eaf266ed306f,

title = "Conjugate Unscented Transform rules for uniform probability density functions",

abstract = "This paper presents a few novel quadrature rules to evaluate expectation integrals with respect to a uniform probability density function. In 1-dimensional expectation integrals the most widely used numerical method is the Gauss-Legendre quadratures as they are exact for polynomials. As for a generic N-dimensional integral, the tensor product of 1-dimensional Gauss-Legendre quadratures results in an undesirable exponential growth of the number of points. The cubature rules proposed in this paper can be used as a direct alternative to the Gauss-Legendre quadrature rules as they are also designed to exactly evaluate the integrals of polynomials but use only a small fraction of the number of points. In addition, they also have all positive weights.",

author = "Nagavenkat Adurthi and Puneet Singla and Tarunraj Singh",

year = "2013",

doi = "10.1109/acc.2013.6580202",

language = "English (US)",

isbn = "9781479901777",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2454--2459",

booktitle = "2013 American Control Conference, ACC 2013",

address = "United States",

note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

}