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Cross-Layer Optimization for Wireless Networks With Deterministic Channel Models

机译：确定性信道模型的无线网络跨层优化

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摘要

Cross-layer optimization is a key step in wireless network design that coordinates the resources allocated to different layers in order to achieve globally optimal network performance. Existing work on cross-layer optimization for wireless networks often adopts simplistic physical-layer models for wireless channels, such as treating interference as noise or interference avoidance. This crude modeling of physical layer often leads to inefficient utilization of resources. In this paper, we adopt a deterministic channel model proposed in , , a simple abstraction of the physical layer that effectively captures the effect of channel strength, broadcast and superposition in wireless channels. This model allows us to go beyond “treating interference as noise” and as a consequence are able to achieve higher throughput and utility. Within the network utility maximization (NUM) framework, we study the cross-layer optimization for wireless networks based on this deterministic channel model. First, we extend the well-studied conflict graph model to capture the flow interactions over the deterministic channels and characterize the feasible rate region. Then we study distributed algorithms for general wireless multi-hop networks with both link-centric formulation and node-centric formulation. The convergence of algorithms is proved by applying Lyapunov stability theorem and stochastic approximation method. Further, we show the convergence to the bounded neighborhood of optimal solutions with probability one under constant step sizes and constant update intervals. Our numerical evaluations validate the analytical results and show the advantage of deterministic channel model over simple physical layer models such as treating interference as noise.
机译：跨层优化是无线网络设计中的关键步骤，其协调分配给不同层的资源以实现全局最佳网络性能。有关无线网络跨层优化的现有工作通常对无线信道采用简单的物理层模型，例如将干扰视为噪声或避免干扰。物理层的这种粗略建模经常导致资源利用效率低下。在本文中，我们采用在中提出的确定性信道模型，该模型是对物理层的简单抽象，可以有效地捕获无线信道中信道强度，广播和叠加的影响。该模型使我们能够超越“将干扰作为噪声处理”，从而能够实现更高的吞吐量和实用性。在网络实用程序最大化（NUM）框架内，我们研究了基于此确定性信道模型的无线网络跨层优化。首先，我们扩展了经过充分研究的冲突图模型，以捕获确定性通道上的流相互作用并描述可行的速率区域。然后，我们研究了以链路为中心和节点为中心的通用无线多跳网络的分布式算法。应用Lyapunov稳定性定理和随机逼近方法证明了算法的收敛性。此外，我们显示了在恒定步长和恒定更新间隔下，概率为1的最优解的有界边界收敛性。我们的数值评估验证了分析结果，并显示了确定性信道模型优于简单物理层模型（例如将干扰视为噪声）的优势。

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