The ongoing development of wireless sensor networks has been greatly restricted because of scarce spectrum resources, limited battery power, and ineffective topologic structures. Thus, how to construct a suitable topological structure and allocate the appropriate node channels has become an urgent problem. In this study, we built a game model that took into account the influence of channel allocation and topology structure on network performance. The game model considered the nodes in wireless sensor networks to be players and took transmitting power, node channels, and node rest energy into account to establish the income function. Then, the model certified that it has Nash equilibrium. Next, we propose an energy-optimized game algorithm joint topology and channel for wireless sensor network (CETGA) in accordance with the game model. The CETGA algorithm improved each node’s income by changing the transmitting power and node channel gradually, assuming that the network retained connectivity. Then, we demonstrated that the algorithm could converge to a Pareto optimal. Finally, we used MATLAB software to verify the simulation. The results show that the topology created by CETGA is with low interference and long lifetime. In addition, the nodes’ average residual energy is more balanced and the network robustness and real time are improved.

中文翻译：

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一种无线传感器网络能量优化博弈算法

由于频谱资源稀缺、电池电量有限以及拓扑结构无效，无线传感器网络的持续发展受到极大限制。因此，如何构建合适的拓扑结构并分配合适的节点通道就成为一个亟待解决的问题。在本研究中，我们构建了一个博弈模型，该模型考虑了信道分配和拓扑结构对网络性能的影响。博弈模型以无线传感器网络中的节点为参与者，考虑发射功率、节点信道和节点静止能量，建立收益函数。然后，该模型证明它具有纳什均衡。接下来，我们根据博弈模型提出了无线传感器网络（CETGA）的能量优化博弈算法联合拓扑和信道。CETGA算法通过逐渐改变发射功率和节点信道来提高每个节点的收入，假设网络保持连通性。然后，我们证明了该算法可以收敛到帕累托最优。最后，我们使用MATLAB软件来验证仿真。结果表明，CETGA 创建的拓扑结构具有低干扰和长寿命。此外，节点的平均剩余能量更加均衡，提高了网络的鲁棒性和实时性。结果表明，CETGA 创建的拓扑结构具有低干扰和长寿命。此外，节点的平均剩余能量更加均衡，提高了网络的鲁棒性和实时性。结果表明，CETGA 创建的拓扑结构具有低干扰和长寿命。此外，节点的平均剩余能量更加均衡，提高了网络的鲁棒性和实时性。