Limit distributions for imperfect electromagnetic reverberation

Arnaut, Luk R.

doi:10.1109/temc.2003.811301

Cited by 48 publications

(49 citation statements)

References 29 publications

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“…Sec. III-A), caused by entrance and exit of modes in the cavity bandwidth [37], is of interest. The PDF f M (m) is expected to depend on the eigenfrequency spacing statistics [4] and their dynamics, which, in turn, depend on the integrability of the cavity shape.…”

Section: Discussionmentioning

confidence: 99%

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Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber

Arnaut

Gradoni

2013

IEEE Trans. Electromagn. Compat.

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Abstract-We derive a probability distribution, confidence intervals and statistics of the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation chamber, based on ensemble distributions of the idealized random cavity field with assumed perfect stir efficiency. It is shown that Q exhibits a FisherSnedecor F-distribution whose degrees of freedom are governed by the number of simultaneously excited cavity modes per stir state. The most probable value of Q is between a fraction 2/9 and 1 of its mean value, and between a fraction 4/9 and 1 of its asymptotic (composite Q) value. The arithmetic mean value is found to always exceed the values of all other theoretical metrics for centrality of Q. For a rectangular cavity, we retrieve the known asymptotic Q in the limit of highly overmoded regime.

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Section: Discussionmentioning

confidence: 99%

“…Now we wish to express the ratio of the field-dependent distribution parameters σ U /σ P d |U or U / P d |U in (37) or (40) in terms of field-independent cavity design parameters. The evaluation in Appendix ??…”

Section: Discussionmentioning

confidence: 99%

Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber

Arnaut

Gradoni

2013

IEEE Trans. Electromagn. Compat.

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“…The reverberation chamber (RC) has been used for electromagnetic compatibility (EMC) tests as well as over-the-air (OTA) measurements of wireless devices [1][2][3][4][5][6][7][8][9][10][11][12][13]. Due to the complicated and time-varying test conditions, various RC measurements are ubiquitously analyzed from the statistical point of view.…”

Section: Introductionmentioning

confidence: 99%

“…Namely the amplitude of the Cartesian field in a RC is Rayleigh distributed [1]. On the other hand, there are studies showing that the Cartesian field in an undermoded RC follows the Weibull or Bessel K distribution [3,4].…”

Section: Introductionmentioning

confidence: 99%

Model Selection for Investigation of the Field Distribution in a Reverberation Chamber

Chen¹

2013

PIER M

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Abstract-In this work two model selection criteria, i.e., Akaike's information criterion (AIC) and minimum description length (MDL), are applied to measurements in a RC with Rayleigh, Rician, Nakagami, Bessel K, and Weibull distributions as the distribution candidate set. In spite of small differences of the AIC and MDL tests (due to their different penalty terms on distribution parameters), both criteria result in similar conclusions. Results show that the Rayleigh distribution provides the overall good fit to the Cartesian field amplitude, especially for an overmoded RC, and that the Weibull distribution provides good fit to the Cartesian field amplitude in an undermoded or loaded RC. In addition, it is found that both the Rician and Weibull distributions provide improved approximations of the Cartesian field amplitude in a loaded RC with non-negligible unstirred components and that the transition from undermoded RC to overmoded RC depends not only on the operating frequency and mode-stirrer efficiency (as it is commonly believed) but also on source stirring and RC loading.

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“…Statistical methods for modeling and data analysis of the interior field in such cavities have become the main characterization techniques, both theoretically and experimentally, e.g., [3][4][5][6][7]. Initially, the average values and the probability density functions (PDFs) were the quantities of main interest [3,5,8].…”

Section: Introductionmentioning

confidence: 99%

Minimum-value distribution of random electromagnetic fields for modeling deep fading in wireless communications

Gradoni

Arnaut

2011

Ann. Telecommun.

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In this work, we presented a theoretical investigation of the minimum-value distribution inside complex electromagnetic environments. In particular, a statistical model for characterizing the minimum value of the complex-value field or power inside a dynamic mode-tuned or mode-stirred reverberation chamber is presented and discussed. Such an EM environment serves as an emulator of multipath radiowave propagation for indoor/outdoor wireless communication channels. It is found that, for both overmoded and undermoded regimes, the generalized extreme value distribution leads to the reverse Fréchet and Weibull types for complex-value (Cartesian and total) fields and for the total energy (or intensity). These distributions are stable and follow from the convergent behavior of the lower tail for their corresponding parent distribu-

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Limit distributions for imperfect electromagnetic reverberation

Cited by 48 publications

References 29 publications

Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber

Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber

Model Selection for Investigation of the Field Distribution in a Reverberation Chamber

Minimum-value distribution of random electromagnetic fields for modeling deep fading in wireless communications

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