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Asymptotic Capacity of Multicarrier Transmission With Frequency-Selective Fading and Limited Feedback

机译:选频衰落和有限反馈的多载波传输的渐近容量

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We study the capacity of multicarrier transmission through a slow frequency-selective fading channel with limited feedback, which specifies channel state information. Our results are asymptotic in the number of subchannels $N$. We first assume independent and identically distributed (i.i.d.) subchannel gains, and show that, for a large class of fading distributions, a uniform power distribution over an optimized subset of subchannels, or on–off power allocation, gives the same asymptotic growth in capacity as optimal water filling, e.g., $O(log N)$ with Rayleigh fading. Furthermore, the $O(log N)$ growth in data rate can be achieved with a feedback rate as $O(log ^{3} N)$. If the number of active subchannels is bounded, the capacity grows only as $O(log log N)$ with the feedback rate of $O(log N)$. We then consider correlated subchannels modeled as a Markov process, and study the savings in feedback. Assuming a fixed ratio of coherence bandwidth to the total bandwidth, the ratio between minimum feedback rates with correlated and i.i.d. subchannels converges to zero with $N$, e.g., as $Oleft (sqrt {{ log N}over { N}}right)$ for Rayleigh-fading subchannels satisfying a first-order autoregressive process. We also show that adaptive modulation, or rate control schemes, in which the rate on each subchannel is selected from a quantized set, achieves the same asymptotic growth rat-es in capacity and required feedback. Finally, our results are extended to cellular uplink and downlink channel models.
机译:我们研究了通过有限反馈的慢速频率选择性衰落信道传输多载波的能力,该信道指定了信道状态信息。我们的结果在$ N $子通道数中渐近。我们首先假设独立且分布均匀的(iid)子信道增益,并表明,对于一大类衰落分布,子信道的优化子集上的均匀功率分布或开/关功率分配会带来相同的渐近容量增长作为最佳的水填充,例如,使用瑞利衰落的$ O(log N)$。此外,可以以$ O(log ^ {3} N)$的反馈速率来实现数据速率的$ O(log N)$增长。如果活动子信道的数量是有界的,则容量仅以$ O(log N)$的反馈速率增长。然后,我们考虑将相关子信道建模为马尔可夫过程,并研究反馈的节省。假设相干带宽与总带宽的比率是固定的,则最小反馈速率之间的比率具有相关系数和i.d.。子信道以$ N $收敛为零,例如对于满足一阶自回归过程的瑞利衰落子信道,为$ Oleft(sqrt {{log N} over {N}} right)$。我们还表明,自适应调制或速率控制方案(其中每个子信道上的速率均选自量化集合)在容量和所需反馈方面实现了相同的渐近增长比率。最后,我们的结果扩展到了蜂窝上行链路和下行链路信道模型。

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