Analysis of cyclostationary stochastic electromagnetic fields

Near-field correlation measurement and evaluation of stationary and cyclostationary stochastic electromagnetic fields

“…Expanding the correlation dyadic, periodic in time with T 0 , into a Fourier series yields (6) are referred to as the cyclic time-domain autocorrelation dyadics and the frequencies nf 0 = nω 0 /2π are the so-called cycle frequencies [15], [19]. The cyclic correlation spectrum (CCS) of the electric field Γ E,n (x a , x b , ω) is given by…”

“…The radiated EMI of electronic circuitry is recorded by two-point measurements of the tangential electric or magnetic field components and by evaluating the field autocorrelation functions and for each pair of field sampling points also the cross correlation functions. In [19], [20], we have extended the near-field correlation measurement methods to CS EM fields. In this work we present experimental investigations of CS noise radiated by electric and electronic components, namely due to the data transfer process of a microcontroller board, and the recording and evaluation of CS radiated EMI using two-point scanning methods.…”

Cyclostationary Characterization of Radiated Emissions in Digital Electronic Devices

“…Different from this, in the general case a complete experimental near-field characteriza-tion providing all necessary information for the computation of the energy density distribution in complex environments requires sampling of the EM field with at least two field probes in order to measure also the cross correlations of the field components sensed at the different field points [12], [13], [24]- [26]. The two-point correlation field measurement and analysis methods were discussed for cyclostationary EM fields in [27], [28]. Figure 1 shows the schematic of a two-point scanner used for measuring and recording the near-field correlation of stochastic EM fields [12].…”

Principal component analysis for efficient characterization of stochastic electromagnetic fields

“…Modeling of cyclostationary stochastic fields has been addressed in previous studies. [20][21][22] Stochastic EM fields are also considered in literature in the context of fields inside reverberation chambers. 23 Furthermore, variations in the geometry or in material parameters of the structure supporting the wave propagation can be treated with stochastic techniques which use polynomial chaos expansion, stochastic collocation techniques, [24][25][26] or stochastic differential equations.…”

“…However, EMI in this case is likely to exhibit cyclostationary rather than stationary properties, ie, mean values of the field and correlation terms will be periodic in time. Modeling of cyclostationary stochastic fields has been addressed in previous studies …”