arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0912.3264cs.ITmath.IT
收藏

随机存取:信息论视角

Random Access: An Information-Theoretic Perspective

Paolo Minero, Massimo Franceschetti, David N. C. Tse

摘要:

本文考虑了一个随机接入系统,其中每个发送器可以在两种工作模式,活跃或不活跃,和一组活跃的用户是提供给一个共同的接收器。有源发射机将数据编码为独立的信息流,其中的一个子集由接收机解码,这取决于集体干扰的值。的主要贡献是提出一个信息理论制定的问题,使我们能够表征,保证差距最优,可以实现不同的数据流的速率。我们的研究结果如下。首先,我们准确地描述了一个两用户系统的容量区域,假设一个二进制扩展确定性信道模型。其次,我们将这个结果扩展到一个两用户加性高斯白噪声信道,提供了一个近似的表征内的$\sqrt{3}/2$位的实际容量。第三,我们专注于对称的情况下,用户是活跃的,具有相同的概率,并受到相同的接收功率约束,并研究了最大可实现的预期和速率,或吞吐量,为任何数量的用户。在这种情况下,对于对称的二进制扩展确定性信道(这是相关的网络文献中使用的数据包碰撞模型),我们表明,一个简单的编码方案,不采用叠加编码实现系统的吞吐量。这一结果还表明,时隙ALOHA系统的性能可以通过允许在发射机处的编码速率自适应来改善。对于对称加性高斯白噪声信道,我们提出了一个方案,是在一个比特的系统吞吐量的任何值的底层参数。

英文摘要:

This paper considers a random access system where each sender can be in two modes of operation, active or not active, and where the set of active users is available to a common receiver only. Active transmitters encode data into independent streams of information, a subset of which are decoded by the receiver, depending on the value of the collective interference. The main contribution is to present an information-theoretic formulation of the problem which allows us to characterize, with a guaranteed gap to optimality, the rates that can be achieved by different data streams. Our results are articulated as follows. First, we exactly characterize the capacity region of a two-user system assuming a binary-expansion deterministic channel model. Second, we extend this result to a two-user additive white Gaussian noise channel, providing an approximate characterization within $\sqrt{3}/2$ bit of the actual capacity. Third, we focus on the symmetric scenario in which users are active with the same probability and subject to the same received power constraint, and study the maximum achievable expected sum-rate, or throughput, for any number of users. In this case, for the symmetric binary expansion deterministic channel (which is related to the packet collision model used in the networking literature), we show that a simple coding scheme which does not employ superposition coding achieves the system throughput. This result also shows that the performance of slotted ALOHA systems can be improved by allowing encoding rate adaptation at the transmitters. For the symmetric additive white Gaussian noise channel, we propose a scheme that is within one bit of the system throughput for any value of the underlying parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑