2008 International Symposium on Electromagnetic Compatibility - EMC Europe 2008
DOI: 10.1109/emceurope.2008.4786803
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The use of Unscented Transforms for statistical analysis in EMC

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Cited by 30 publications
(17 citation statements)
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“…The weighted sum of the sigma points produces the expected value and variance of the mapping. The UT uses the moments of the PDF to develop the sigma points [8]. The UT has been utilized in nonlinear problems in electromagnetic compatibility [8], [9].…”
Section: A Unscented Transform (Ut)mentioning
confidence: 99%
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“…The weighted sum of the sigma points produces the expected value and variance of the mapping. The UT uses the moments of the PDF to develop the sigma points [8]. The UT has been utilized in nonlinear problems in electromagnetic compatibility [8], [9].…”
Section: A Unscented Transform (Ut)mentioning
confidence: 99%
“…The UT uses the moments of the PDF to develop the sigma points [8]. The UT has been utilized in nonlinear problems in electromagnetic compatibility [8], [9]. In [10] the unscented transform was described as an approximate estimator which works by approximating a continuous distribution function with PDF w(x) as a discrete distribution w(x i ) using deterministically chosen points called sigma points (S i ) such that the moments of both distributions are equal i.e.…”
Section: A Unscented Transform (Ut)mentioning
confidence: 99%
“…The sigma points are developed using the moments of the distribution functions pdf, and the weighted average of the sigma points produces the expectation of the mapping [29]. The UT has been utilized in nonlinear problems in electromagnetic compatibility [19,20,30] and medical statistics amongst other fields [22]. This method can be used in approximating a continuous distribution function with pdf ( ) as a discrete distribution using deterministically chosen points called sigma points ( ) and weights ( ) such that the moments of both distributions are equal [31].…”
Section: Unscented Transform (Ut)mentioning
confidence: 99%
“…However, other methods which do not require these simplifications or assumptions in designing the systems/converters or in generating random occurrences can be deployed. They include the Monte Carlo Simulation (MCS) [5,17,18], Unscented Transform (UT) [19,20], Point Estimate Method (PEM) [21], and Univariate Dimension Reduction (UDR) [22,23]. For instance, in Probabilistic Load Flow (PLF) studies, some of these methods have been utilized.…”
Section: Introductionmentioning
confidence: 99%
“…The full rank LCMV and reduced rank LCMV adaptive lters performance is evaluated in comparison of well known results presented in [4,7,20]. The Unscented Transform performance assessment evaluation uses results and techniques derived from [2,21,22,23,16].…”
Section: Simulation Resultsmentioning
confidence: 99%