随机偶极子间的信道:近场和远场的统计和中断
The Channel Between Randomly Oriented Dipoles: Statistics and Outage in the Near and Far Field
摘要:
我们考虑一类无线链路的传播特性描述的偶极子模型。这包括偶极天线之间的自由空间链路和线圈之间的磁感应链路,具有重要的通信和电力传输应用。偶极模型将信道系数描述为链路距离和天线方向的函数。在许多使用情况下,方向是随机的,导致随机衰落信道。本文提出了一种封闭形式的描述的信道统计和中断性能的情况下,i.i.d.在3D空间中均匀分布的天线取向。对于主动传输后在AWGN中的接收,我们表明,高SNR中断概率在近场或远场区域中像$p_\mathrm{e} \propto \mathrm{SNR}^{-1/2}$一样缩放,即分集指数仅为1/2(即使是反向散射或负载调制的1/4)。由于极化分集的存在,分集指数在近远场转换中提高到1。对输电效率和停电容量进行了类比说明。
英文摘要:
We consider the class of wireless links whose propagation characteristics are described by a dipole model. This comprises free-space links between dipole antennas and magneto-inductive links between coils, with important communication and power transfer applications. A dipole model describes the channel coefficient as a function of link distance and antenna orientations. In many use cases the orientations are random, causing a random fading channel. This paper presents a closed-form description of the channel statistics and the resulting outage performance for the case of i.i.d. uniformly distributed antenna orientations in 3D space. For reception in AWGN after active transmission, we show that the high-SNR outage probability scales like $p_\mathrm{e} \propto \mathrm{SNR}^{-1/2}$ in the near- or far-field region, i.e. the diversity exponent is just 1/2 (even 1/4 with backscatter or load modulation). The diversity exponent improves to 1 in the near-far-field transition due to polarization diversity. Analogous statements are made for the power transfer efficiency and outage capacity.
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