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Scaling Laws of Cognitive Ad Hoc Networks over General Primary Network Models

机译：通用主网络模型上认知自组织网络的缩放定律

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摘要

We study the capacity scaling laws for the cognitive network that consists of the primary hybrid network (PhN) and secondary ad hoc network (SaN). PhN is further comprised of an ad hoc network and a base station-based (BS-based) network. SaN and PhN are overlapping in the same deployment region, operate on the same spectrum, but are independent with each other in terms of communication requirements. The primary users (PUs), i.e., the ad hoc nodes in PhN, have the priority to access the spectrum. The secondary users (SUs), i.e., the ad hoc nodes in SaN, are equipped with cognitive radios, and have the functionalities to sense the idle spectrum and obtain the necessary information of primary nodes in PhN. We assume that PhN adopts one out of three classical types of strategies, i.e., pure ad hoc strategy, BS-based strategy, and hybrid strategy. We aim to directly derive multicast capacity for SaN to unify the unicast and broadcast capacities under two basic principles: 1) The throughput for PhN cannot be undermined in order sense due to the presence of SaN. 2) The protocol adopted by PhN does not alter in the interest of SaN, anyway. Depending on which type of strategy is adopted in PhN, we design the optimal-throughput strategy for SaN. We show that there exists a threshold of the density of SUs according to the density of PUs beyond which it can be proven that: 1) when PhN adopts the pure ad hoc strategy or hybrid strategy, SaN can achieve the multicast capacity of the same order as it is stand-alone; 2) when PhN adopts the BS-based strategy, SaN can asymptotically achieve the multicast capacity of the same order as if PhN were absent, if some specific conditions in terms of relations among the numbers of SUs, PUs, the destinations of each multicast session in SaN, and BSs in PhN hold.
机译：我们研究由主要混合网络（PhN）和次要自组织网络（SaN）组成的认知网络的容量缩放定律。 PhN进一步包括一个自组织网络和一个基于基站（BS）的网络。 SaN和PhN在相同的部署区域中重叠，在相同的频谱上运行，但在通信要求方面彼此独立。主要用户（PU），即PhN中的ad hoc节点，具有访问频谱的优先级。二级用户（SU），即SaN中的ad hoc节点，配备了认知无线电，并具有感知空闲频谱并获得PhN中主要节点的必要信息的功能。我们假设PhN采用三种经典策略中的一种，即纯自组织策略，基于BS的策略和混合策略。我们旨在根据两个基本原理直接推导SaN的多播容量，以统一单播和广播容量：1）由于存在SaN，PhN的吞吐量在顺序上不能受到损害。 2）无论如何，PhN所采用的协议不会改变SaN的利益。根据PhN采用哪种策略，我们设计了SaN的最佳吞吐量策略。我们发现存在一个根据PU的密度而定的SU密度阈值，可以证明：1）当PhN采用纯自组策略或混合策略时，SaN可以实现相同数量级的组播容量。由于是独立的； 2）当PhN采用基于BS的策略时，如果在SU，PU的数量，每个组播会话的目的地之间的关系方面有一些特定条件，SaN可以渐近地实现与缺少PhN相同数量级的组播容量在SaN获得博士学位，在PhN获得BS。

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