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Application of principal component analysis for optimization of a system operation assessment criteria set

Muślewski Ł., Knopik L.

Journal of KONES

2013

Vol. 20, No. 4

307--312

The analysis of results of experimental tests and a literature survey of the issue reveal that the subject matter connected with determination of the optimal number of a given transportation system operation assessment criteria has a direct influence on the result of the considered assessment. The analysis was made within the research on operation quality of a selected transportation system. In order to optimize the analysed system assessment criteria, a theoretical description has been made and an example of canonical correlations application has been presented. Analysis of canonical correlations involves determination of linear combination parameters of the studied sets so that the obtained correlation coefficient will have maximal value. In the successive step, the next pair of linear combination are not correlated with the combinations determined in the first step. The determined correlations can measure the power of relation between two sets of variables and are useful in the process of choosing significant criteria for a given research object operation quality assessment.

An Application of Canonical Decomposition to TDOA Estimation for 3D Wireless Sensor Network Node Localization

Jiang H., Liu C., Sun X.

Przegląd Elektrotechniczny

2012

R. 88, nr 9b

92-95

In this paper, a time difference of arrival (TDOA) estimation algorithm is proposed by extending canonical correlation decomposition (CCD) to measure multipath delays for determining node positions in Ultra-wideband wireless sensor networks (WSNs). Multilateral localization based on 3D Chan algorithm is employed to solve the non-linear problems for performance improvement. The method can perform well in the environment with unknown noise. The effectiveness is validated by simulations and the effects of noise and the number of anchor nodes are analyzed.

Przedstawiono algorytm TDOA (time difference of arrival) do określania wielościeżkowych opóźnień w szerokopasmowej bezprzewodowej sieci czujników. Metoda jest przydatna w środowisku o nieznanych szumach.

Generalized separation theorems for singular values of a matrix and their applications in canonical correlation analysis

Xie C., Singh R. S., Smith B., Lu X.

Probability and Mathematical Statistics

2005

Vol. 25, Fasc. 2

223--229

Rao (1979) established separation theorems for singular values of a matrix and showed their applications in multivariate analysis. In this paper, we provide generalized separation theorems for singular values of a matrix and use them to find some interesting relations between canonical correlations and conditional canonical correlations.