论文标题

Simo Block Rayleigh褪色通道容量缩放,具有天线,带宽和连贯长度

The SIMO Block Rayleigh Fading Channel Capacity Scaling with Number of Antennas, Bandwidth and Coherence Length

论文作者

Gomez-Cuba, Felipe

论文摘要

本文研究了独立且分布式(I.I.D。)瑞利块褪色通道与带宽($ b $),接收天线($ n $)和相干块长度($ l $)的无关单输出多数输出(SIMO)的容量缩放。在非coherent通道(无通道状态信息-CSI)中,容量缩放为$θ\ left(\ min(b,\ sqrt {nl},n),n)\ right)$。使用飞行员辅助信号传导可以实现。能量调制信号速率缩放为$θ\ left(\ min(b,\ sqrt {n})\ right)$。如果$ l $是固定的,而$ b $和$ n $生长,则两种表达式均等,能量调制可以达到容量扩展。但是,能源调制率并不是可变$ L $的容量。具有先验CSI的连贯通道容量依次将其缩放为$θ\ left(\ min(b,n)\右)$。当$ l \geqθ(n)$时,可以在非相关通道中完全实现相干通道容量缩放。总而言之,通道相干块长度在调制选择和相干和非固定通道之间的容量差距中起关键作用。飞行员辅助信号的表现优于能量调制的速率缩放与相干块长度。只有在高移动性方案中,$ l $比天线的数量小得多($ l \llθ(\ sqrt {n})$),能量调制在非交连通道中有效。

This paper studies the capacity scaling of non-coherent Single-Input Multiple-Output (SIMO) independent and identically distributed (i.i.d.) Rayleigh block fading channels versus bandwidth ($B$), number of receive antennas ($N$) and coherence block length ($L$). In non-coherent channels (without Channel State Information --CSI) capacity scales as $Θ\left(\min(B,\sqrt{NL},N)\right)$. This is achievable using Pilot-Assisted signaling. Energy Modulation signaling rate scales as $Θ\left(\min(B,\sqrt{N})\right)$. If $L$ is fixed while $B$ and $N$ grow, the two expressions grow equally and Energy Modulation achieves the capacity scaling. However, Energy Modulation rate does not scale as the capacity with the variable $L$. The coherent channel capacity with a priori CSI, in turn, scales as $Θ\left(\min(B,N)\right)$. The coherent channel capacity scaling can be fully achieved in non-coherent channels when $L\geqΘ(N)$. In summary, the channel coherence block length plays a pivotal role in modulation selection and the capacity gap between coherent and non-coherent channels. Pilot-Assisted signaling outperforms Energy Modulation's rate scaling versus coherence block length. Only in high mobility scenarios where $L$ is much smaller than the number of antennas ($L\llΘ(\sqrt{N})$), Energy Modulation is effective in non-coherent channels.

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