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arXiv cs/0702158cs.NI
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感知误差下的联合频谱接入设计与分离原理

Joint Design and Separation Principle for Opportunistic Spectrum Access in the Presence of Sensing Errors

Yunxia Chen, Qing Zhao, Ananthram Swami

摘要:

我们解决的机会频谱接入(OSA)的策略,允许二级用户独立搜索和利用瞬时频谱可用性的设计。联合设计中集成了三个基本组件:识别频谱机会的频谱传感器,确定频谱中要感测的信道的感测策略,以及基于不完美的感测结果决定是否接入的接入策略。我们制定的联合物理层MAC设计的OSA作为一个受约束的部分可观察马尔可夫决策过程(POMDP)。约束POMDPs通常需要随机策略来实现最优性,这通常是难以解决的。通过利用底层问题的丰富结构,我们建立了OSA联合设计的分离原则。该分离原理揭示了用于频谱传感器的设计和接入策略的近视策略的最优性,从而得到封闭形式的最优解。此外,分离原则解耦的感知策略的设计,频谱传感器和接入策略,约束POMDP减少到一个无约束的,它允许确定性的最优策略。数值例子提供了研究的设计权衡,频谱传感器和传感和访问策略之间的相互作用,以及随后的设计模型失配的鲁棒性。

英文摘要:

We address the design of opportunistic spectrum access (OSA) strategies that allow secondary users to independently search for and exploit instantaneous spectrum availability. Integrated in the joint design are three basic components: a spectrum sensor that identifies spectrum opportunities, a sensing strategy that determines which channels in the spectrum to sense, and an access strategy that decides whether to access based on imperfect sensing outcomes. We formulate the joint PHY-MAC design of OSA as a constrained partially observable Markov decision process (POMDP). Constrained POMDPs generally require randomized policies to achieve optimality, which are often intractable. By exploiting the rich structure of the underlying problem, we establish a separation principle for the joint design of OSA. This separation principle reveals the optimality of myopic policies for the design of the spectrum sensor and the access strategy, leading to closed-form optimal solutions. Furthermore, decoupling the design of the sensing strategy from that of the spectrum sensor and the access strategy, the separation principle reduces the constrained POMDP to an unconstrained one, which admits deterministic optimal policies. Numerical examples are provided to study the design tradeoffs, the interaction between the spectrum sensor and the sensing and access strategies, and the robustness of the ensuing design to model mismatch.

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