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首页> 外文期刊>IEEE Transactions on Information Theory >Degrees of freedom in some underspread MIMO fading channels
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Degrees of freedom in some underspread MIMO fading channels

机译：某些欠扩MIMO衰落信道中的自由度

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摘要

Consider a multiple-input multiple-output (MIMO) fading channel in which the fading process varies slowly over time. Assuming that neither the transmitter nor the receiver have knowledge of the fading process, do multiple transmit and receive antennas provide significant capacity improvements at high signal-to-noise ratio (SNR)? For regular fading processes, recent results show that capacity ultimately grows doubly logarithmically with the SNR independently of the number of transmit and receive antennas used. We show that for the Gauss-Markov fading process in all regimes of practical interest the use of multiple antennas provides large capacity improvements. Nonregular fading processes show completely different high-SNR behaviors due to the perfect predictability of the process from noiseless observations. We analyze the capacity of MIMO channels with nonregular fading by presenting a lower bound, which we specialize to the case of band-limited slowly varying fading processes to show that the use of multiple antennas is still highly beneficial. In both cases, regular and nonregular fading, this capacity improvement can be seen as the benefit of having multiple spatial degrees of freedom. For the Gauss-Markov fading model and all regimes of practical interest, we present a communication scheme that achieves the full number of degrees of freedom of the channel with tractable complexity. Our results for underspread Gauss-Markov and band-limited nonregular fading channels suggest that multiple antennas are useful at high SNR.
机译：考虑一个多输入多输出（MIMO）衰落信道，其中衰落过程随时间缓慢变化。假设发射机和接收机都不了解衰落过程，那么多个发送和接收天线是否可以在高信噪比（SNR）下显着提高容量？对于常规的衰落过程，最近的结果表明，与SNR无关，容量最终将以双对数增长，而与所使用的发射和接收天线的数量无关。我们表明，在所有实际感兴趣的体制中，对于高斯-马尔可夫衰落过程，使用多个天线可大幅度提高容量。由于无噪声观测的完美可预测性，非规则衰落过程显示出完全不同的高SNR行为。我们通过提出一个下限来分析具有非规则衰落的MIMO信道的容量，我们将其专门研究带限缓慢变化的衰落过程的情况，以表明使用多个天线仍然非常有益。在常规和非常规衰落这两种情况下，这种容量的提高都可以视为具有多个空间自由度的好处。对于高斯-马尔可夫衰落模型和所有实际感兴趣的体制，我们提出一种通信方案，该方案可实现信道自由度的全部数量，且具有复杂的可处理性。我们对未扩展的高斯-马尔可夫信道和带限非规则衰落信道的研究结果表明，多天线在高SNR时很有用。

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