Correlation Transmission Line Matrix (CTLM) modeling of stochastic electromagnetic fields

Abstract

In this work we introduce the Correlation Transmission Line Matrix (CTLM) method for time-domain computation of the auto-and cross correlation functions (ACFs and CCFs) of stationary stochastic electromagnetic fields. These ACFs and CCFs are computed from the Johns matrices, i.e. the discretetime TLM Green's functions and are directly related to the EMI power spectra. c 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Cite as: Russer, J.A.; Cangellaris, A.; Russer, P., "Correlation Transmission Line Matrix (CTLM) modeling of stochastic electromagnetic fields,"

Cyclostationary Characterization of Radiated Emissions in Digital Electronic Devices

“…Time domain measurement systems allow the characterization of the stochastic field with a single measurement run in a wide frequency band. Timedomain methods are also advantageous for modeling of EM fields [36], [37].…”

Principal component analysis for efficient characterization of stochastic electromagnetic fields

“…Such a method is discussed in previous studies and can be applied to compute the propagation of the spectral energy density after transforming the field problem into a frequency domain network problem by applying a boundary element method. The approach of characterizing noisy EM fields by correlation information has been also extended to the transmission line matrix method in the time domain and to the transverse wave formulation . An approach to propagate the stochastic EM field based on Wigner functions is presented in Gradoni et al Near‐ to far‐field transformation and imaging using correlation information has been addressed in Fourestie et al and Russer and Russer, evolution of the correlation information of the propagating field in Russer et al, and methods for source localization in Baev et al and Kuznetsov et al Propagation of correlation information can also be modeled based on S ‐parameters .…”

Differential form representation of stochastic electromagnetic fields

“…Characterization and modeling of stationary stochastic electromagnetic fields using field correlations has been expanded to the transmission line matrix method in Russer et al (2016), to noisy cyclostationary fields (Russer et al, 2015b, c), and it has been used for source localization Baev et al, 2013;Kuznetsov et al, 2016) and imaging of radiated electromagnetic interference (EMI) sources (Russer and Russer, 2011b). Free space electromagnetic field propagation considering field-field correlations has been addressed in .…”