多径衰落信道中的时间延迟通信
Time Reversal Communication in Multi-Path Fading Channels with Pinholes
摘要：
本文分析了具有$N$输入（发射机）和$M$输出（接收机）的多径瑞利衰落信道中的时间反转。讨论的主要问题是统计稳定性的条件，信息传递的速率和针孔的影响。稳定性条件被证明是$MC\ll N_{\rm eff}B$的宽带信道和$M\ll N_{\rm eff}$的窄带信道，其中$C$是符号率，$B$是带宽和$N_{\rm eff}$是{ \em有效}发射机的数量。它示出，当层的数量，$n-1$，是相对较低的针孔$N_{\rm eff}$的数量的对数相比，是由$n^{-1}$倍的发射机的数量和针孔的数量在所有层的谐波平均。另一方面，当层的数量相对较大时，针孔的有效数量呈指数减少。当电源设置为噪声水平乘以$BN_{\rm eff}$时，能量效率被示出为最佳，并且当违反稳定条件时，最大信息速率大致为$BN_{\rm eff}$。
英文摘要：
The paper presents an analysis of the time reversal in multi-path Rayleigh-fading channels with $N$ inputs (transmitters) and $M$ outputs (receivers). The main issues addressed are the condition of statistical stability, the rate of information transfer and the effect of pinholes. The stability condition is proved to be $MC\ll N_{\rm eff}B$ for broadband channels and $M\ll N_{\rm eff}$ for narrowband channels where $C$ is the symbol rate, $B$ is the bandwidth and $N_{\rm eff}$ is the {\em effective} number of transmitters. It is shown that when the number of layers, $n-1$, is relatively low compared to the logarithm of numbers of pinholes $N_{\rm eff}$ is given by $n^{-1}$ times the harmonic mean of the number of transmitters and the numbers of pinholes at all layers. On the other hand, when the number of layers is relatively large the effective number of pinholes diminishes exponentially. The energy efficiency is shown to be optimal when the power supply is set to the noise level times $BN_{\rm eff}$ and that the maximal information rate is roughly $BN_{\rm eff}$ when the stability condition is violated.
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