Yeh Jen-Hao, Antonsen Thomas M, Ott Edward, Anlage Steven M
Electrical and Computer Engineering Department, University of Maryland, College Park, Maryland 20742-3285, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jan;85(1 Pt 2):015202. doi: 10.1103/PhysRevE.85.015202. Epub 2012 Jan 10.
Fading is the time-dependent variation in transmitted signal strength through a complex medium due to interference or temporally evolving multipath scattering. In this paper we use random matrix theory (RMT) to establish a first-principles model for fading, including both universal and nonuniversal effects. This model provides a more general understanding of the most common statistical models (Rayleigh fading and Rice fading) and provides a detailed physical basis for their parameters. We also report experimental tests on two ray-chaotic microwave cavities. The results show that our RMT model agrees with the Rayleigh and Rice models in the high-loss regime, but there are strong deviations in low-loss systems where the RMT approach describes the data well.
衰落是指由于干扰或随时间变化的多径散射，通过复杂介质传输的信号强度随时间的变化。在本文中，我们使用随机矩阵理论（RMT）建立了一个衰落的第一性原理模型，包括普遍效应和非普遍效应。该模型对最常见的统计模型（瑞利衰落和莱斯衰落）提供了更全面的理解，并为其参数提供了详细的物理基础。我们还报告了对两个射线混沌微波腔的实验测试。结果表明，我们的RMT模型在高损耗 regime 与瑞利和莱斯模型一致，但在低损耗系统中存在较大偏差，而RMT方法能很好地描述数据。
