不均匀混合无线网络容量分析：定向天线的应用

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"这篇研究论文探讨了不均匀混合无线网络中使用定向天线的容量分析，由吴丰、朱江、田毅龙、邹建彬等人撰写，发表在J.Cent.SouthUniv., 2016年23卷，第644-653页，DOI: 10.1007/s11771-016-3110-4。" 在当前的无线网络研究中，大多数容量分析假设所有节点均匀分布，即网络具有同质性。然而，实际的无线网络由于自然和人为因素往往呈现出不均匀性，即异质性。这篇论文首次对具有定向天线的不均匀混合无线网络的容量进行了深入研究。作者通过设定不同的节点分布概率，将整个网络划分为密集小区和稀疏小区，从而构建了一个不均匀混合网络模型。在这个模型中，由于节点分布的概率差异，网络可以表现出显著的不均匀性。定向天线的应用在这种环境中尤为重要，因为它们能够提高信号传输的方向性和效率，减少干扰，并可能优化网络的整体容量。论文可能涉及了以下几个关键点： 1. 节点分布：论文考虑了节点在空间中的非均匀分布情况，这种分布可能是由于地理环境、建筑物或其他障碍物的影响，导致某些区域的节点密度较高，而其他区域较低。 2. 定向天线的优势：定向天线相对于全向天线，其能量集中在一个特定的方向，可以增加信号强度，减少相邻节点之间的干扰，从而提升网络容量。 3. 混合网络模型：论文提出的模型融合了不同密度的小区，这可能包括了全向通信和定向通信的结合，以适应各种节点密度的场景。 4. 容量分析：论文可能深入探讨了在不均匀混合网络中如何最大化容量，包括调整定向天线的角度、功率分配策略以及节点间通信的协调机制。 5. 性能评估：可能涉及了理论分析与仿真验证，以评估在不同条件下的网络性能，如吞吐量、延迟、覆盖范围等关键指标。 6. 应用背景：此研究对于理解城市环境、室内空间或复杂地形下的无线网络性能有重要意义，有助于设计更高效的实际网络部署方案。这篇论文为理解和优化具有异质性的混合无线网络提供了理论基础和实用工具，对于未来无线网络设计和优化具有重要的参考价值。

J. Cent. South Univ. (2016) 23: 644−653

DOI: 10.1007/s11771-016-3110-4

Capacity analysis of inhomogeneous hybrid wireless networks using

directional antennas

WU Feng(吴丰)

, ZHU Jiang(朱江)

, TIAN Yi-long(田毅龙)

, ZOU Jian-bin(邹建彬)

1. School of Information Science and Engineering, National University of Defense Technology,

Changsha 430074, China;

2. School of Computer, National University of Defense Technology, Changsha 430074, China

Abstract: Most of studies on network capacity are based on the assumption that all the nodes are uniformly distributed, which means

that the networks are characterized by homogeneity. However, many realistic networks exhibit inhomogeneity due to natural and

man-made reasons. In this work, the capacity of inhomogeneous hybrid networks with directional antennas for the first time is

studied. By setting different node distribution probabilities, the whole network can be devided into dense cells and sparse cells. On

this basis, an inhomogeneous hybrid network model is proposed. The network can exhibit significant inhomogeneity due to the

coexistence of two types of cells. Then, we derive the network capacity and maximize the capacity under different channel allocation

schemes. Finally, how the network parameters influence the network capacity is analyzed. It is found that if there are plenty of base

stations, the per-node throughput can achieve constant order, and if the beamwidth of directional antenna is small enough, the

network capacity can scale.

Key words: network capacity; hybrid networks; inhomogeneity; directional antennas; infrastructure; ad hoc networks

1 Introduction

Network capacity has been extensively studied in

recent years. There are two obvious reasons explaining

why so many researchers engage in this pursuit. First,

network capacity reflects the asymptotic behavior of the

wireless networks. In face of the emerging large-scale

networks, asymptotic capacity of the networks becomes

more critical. Second, regardless of detailed protocol,

network capacity focuses on the prediction of network

performance as a function of the number of nodes in the

network. In contrast, simulation or numerical results are

deterministic as they can only be obtained for a fixed

number of nodes. Besides, the simulation or numerical

results are available after considering all the details and it

may cost a lot, such as time and computing resource.

Therefore, capacity is one of the most important

properties in wireless networks. Nevertheless, it is also a

challenging work.

In the seminal work, GUPTA and KUMAR [1]

studied the asymptotic capacity of large scale wireless

networks. They proved that the throughput capacity is

( / lg ),ΘW nn

which means that the transmission rate

of per-node decreases at the speed of

lgnn

as the

number of nodes increases, and finally it will decrease to

zero as n goes to infinity, where n is the number of nodes.

Later, extensive studies have been conducted to achieve

a tighter capacity bound [2−6]. FRANCESCHETTI et al

[2] applied percolation theory to obtain a per-node

transmission rate higher than

( / ).Wn

GROSSGLAUSER and TSE [3] proved that the mobility

of ad hoc nodes can increase the network capacity. They

show that per-node transmission rate of

()

can be

achieved when ad hoc nodes are mobile, while the

transmission delay will go to infinity.

Hybrid networks, where base stations are added to

help the transmissions of ad hoc nodes, have attracted

many researchers’ attention in recent years [7−10]. LIU

et al [7] studied the capacity of hybrid networks where

base stations are placed in a regular pattern. They

showed that the asymptotic behavior of m makes the

hybrid networks exhibit different capacities, where m

denotes the number of base stations. KO Z AT and

TASSIULAS [8] considered the case that base stations

are randomly deployed. They concluded that base

stations can improve the per-node throughput capacity

significantly. ZEMLIANOV and VECIANA [9]

proposed a hybrid network model where base stations are

arbitrarily placed. They derived the network capacity and

got similar conclusions.

Foundation item: Projects (61401476, 61201166) supported by the National Natural Science Foundation of China

Received date: 2015−05−26; Accepted date: 2015−09−08

Corresponding author: WU Feng, PhD; Tel: +86−13317376405; E-mail: wufengpaper@163.com

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