2017
DOI: 10.1002/jnm.2246
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Principal component analysis for efficient characterization of stochastic electromagnetic fields

Abstract: The propagation of stochastic electromagnetic fields can be accurately modeled using the auto-and cross-correlation spectra of the field components. In this work, we introduce the framework of principal component analysis for reducing the computational cost of handling stochastic electromagnetic fields described by correlation matrices. We consider noisy electromagnetic fields originating from stationary random processes with Gaussian probability distribution. The amount of data obtained by 2-dimensional near-… Show more

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Cited by 14 publications
(6 citation statements)
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“…points. An efficient method for the reduction of reference points is the principal component analysis (PCA) for eigenvalue decomposition of the correlation matrix [29], [30]. Applying this method allows the reduction of the reference probe positions down to the number of principal eigenvalues.…”
Section: T T T X X H X H Xmentioning
confidence: 99%
“…points. An efficient method for the reduction of reference points is the principal component analysis (PCA) for eigenvalue decomposition of the correlation matrix [29], [30]. Applying this method allows the reduction of the reference probe positions down to the number of principal eigenvalues.…”
Section: T T T X X H X H Xmentioning
confidence: 99%
“…whereS is the scattering operator built from the continuuity conditions of the tangential fields [2], [14]. Collecting all the incoming and outgoing waves in (8) and (10) of all the interfaces in the structure, the Hilbert space vectors of incident and reflected waves are built and the problem is settled in the form of coupled equations…”
Section: Twf -The Transverse Wave Formulationmentioning
confidence: 99%
“…Using this formalism we can analyze multilayer structures, where homogeneous layers of finite extension in z-direction alternate with thin structured layers. The structured layers are described by the surface admittance matrices Y ij (u, v) translated in scattering operators as presented in (10). From this formulation, we can describe multilayer structures consisting of thin layers, with structured metalization, resistive layers, and impressed voltage and current sources and thick homogeneous material.…”
Section: Twf -The Transverse Wave Formulationmentioning
confidence: 99%
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“…Free space electromagnetic field propagation considering field-field correlations has been addressed in . Near field measurements for radiated EMI is discussed in (Russer et al, 2015d), while analysis of measurement data by principal component analysis, critical for large data sets acquired in characterizing fields by correlation information, is discussed in (Arnaut and Obiekezie, 2014;Haider and Russer, 2017).…”
Section: Introductionmentioning
confidence: 99%