A novel status update information system is designed by jointly considering wireless energy harvesting diversity, status update transmission diversity, and hybrid automatic repeat request with chase combining (HARQ-CC) diversity, which consists of two sensors and one destination. The two sensors, which have finite-sized batteries, harvest energy from a Bernoulli process, and cooperatively deliver the status update to the destination by sharing a common information source. In addition, the two sensors synchronously operate in half-duplex (HD) mode and are triggered by a common control center. We first propose the sensor energy harvesting model that can be represented by Markov chain (MC) and develop the construction method of the transition matrix of sensor battery energy states as well as the stationary distributions. Secondly, the average age of information (AoI) of the proposed dual-sensor status update system is derived in terms of a closed-form expression by accurately calculating the statistical descriptions of the maximal number of the retransmissions of an update packet and the service time of one packet. Compared with traditional single-sensor system, the proposed dual-sensor system not only harvests more energy, but also has a smaller average AoI.

中文翻译：

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具有HARQ Chase结合和能量收集多样性的双传感器信息更新系统的信息时代

综合考虑无线能量采集分集、状态更新传输分集、混合自动重传请求与追踪组合（HARQ-CC）分集，设计了一种新型状态更新信息系统，由两个传感器和一个目的地组成。这两个传感器具有有限尺寸的电池，从伯努利过程中收集能量，并通过共享公共信息源合作将状态更新传送到目的地。此外，两个传感器在半双工 (HD) 模式下同步运行，并由一个公共控制中心触发。我们首先提出了可以用马尔可夫链（MC）表示的传感器能​​量收集模型，并开发了传感器电池能量状态转移矩阵以及平稳分布的构建方法。其次，所提出的双传感器状态更新系统的平均信息年龄 (AoI) 是通过精确计算更新数据包的最大重传次数和一个的服务时间的统计描述，以封闭形式表达的。包。与传统的单传感器系统相比，所提出的双传感器系统不仅可以收集更多的能量，而且具有更小的平均 AoI。