Unreliable fading wireless channels are the main challenge for strict performance guarantees in mobile communications. Diversity schemes including massive number of antennas, huge spectrum bands and multi-connectivity links are applied to improve the outage performance. The success of these approaches relies heavily on the joint distribution of the underlying fading channels. In this work, we consider the $\varepsilon $ -outage capacity of slowly fading wireless diversity channels and provide lower and upper bounds for fixed marginal distributions of the individual channels. This answers the question about the best and worst case outage probability achievable over $n$ fading channels with a given distribution, e.g., Rayleigh fading, but not necessarily statistically independent. Interestingly, the best-case joint distribution enables achieving a zero-outage capacity greater than zero without channel state information at the transmitter for $n \geq 2$ . Furthermore, the results are applied to characterize the worst- and best-case joint distribution for zero-outage capacity with perfect channel state information everywhere. All results are specialized to Rayleigh fading and compared to the standard assumption of independent and identically distributed fading component channels. The results show a significant impact of the joint distribution and the gap between worst- and best-case can be arbitrarily large.

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相关衰落无线信道的可靠性界限

不可靠的衰落无线信道是移动通信中严格性能保证的主要挑战。应用包括海量天线、巨大频段和多连接链路在内的分集方案来提高停电性能。这些方法的成功在很大程度上依赖于底层衰落信道的联合分布。在这项工作中，我们考虑 $\varepsilon $ - 缓慢衰落的无线分集信道的中断容量，并为各个信道的固定边际分布提供下限和上限。这回答了有关可实现的最佳和最坏情况中断概率的问题 $n$ 具有给定分布的衰落信道，例如瑞利衰落，但不一定是统计独立的。有趣的是，最佳情况联合分布能够实现大于零的零中断容量，而无需在发射机处提供信道状态信息 $n \geq 2$ . 此外，该结果还用于表征具有完美信道状态信息的零中断容量的最坏和最佳联合分布。所有结果都专门针对瑞利衰落，并与独立且同分布的衰落分量信道的标准假设进行了比较。结果表明联合分布的显着影响和最坏情况和最好情况之间的差距可以任意大。