论文标题

准静态和动态环境中随机场的过多功率,能量和强度

Excess Power, Energy and Intensity of Stochastic Fields in Quasi-Static and Dynamic Environments

论文作者

Arnaut, Luk R.

论文摘要

基于SLEPIAN-KAC模型的上杂交的SLEPIAN模型,表征了高阈值高于高阈值的随机电磁场的过量功率,能量和强度。对于准静态字段,当阈值级别增加时,其回归近似值中超强度的概率分布从$χ^2_3 $到$χ^2_2 $演变。与多余能量相关的偏移区域表现出在渐近高阈值上方的卡型培养基($χ^3_2 $)分布,其中偏移是抛物线的。对于动态场,建立了多余功率对混合调制指数和阈值水平的电气和环境调制的依赖性。当该指数增加时,相对于准静电功率相对于准静态功率的归一化有效功率会增加。动态过量功率的平均值和标准偏差以封闭形式获得,并通过蒙特卡洛模拟验证。

The excess power, energy and intensity of a random electromagnetic field above a high threshold level are characterized based on a Slepian--Kac model for upcrossings. For quasi-static fields, the probability distribution of the excess intensity in its regression approximation evolves from $χ^2_3$ to $χ^2_2$ when the threshold level increases. The excursion area associated with excess energy exhibits a chi-cubed ($χ^3_2$) distribution above asymptotically high thresholds, where excursions are parabolic. For dynamic fields, the dependence of the electrical and environmental modulations of the excess power on the hybrid modulation index and threshold level are established. The normalized effective power relative to the quasi-static power increases non-monotonically when this index increases. The mean and standard deviation of the dynamic excess power are obtained in closed form and validated by Monte Carlo simulation.

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