In WSN ( Wireless Sensor Network) , different key pre-distribution schemes would result in dif-ferent energy consumptions of the whole network and of each sensor node. Insufficient energy of sensor, may,in a certain degree, restrict the development and application of WSN key pre-distribution. Energy consumption of centralized key distribution scheme and key distribution scheme based on symmetric bivari-ate polynomial is analyzed, and the two models of energy consumption are built up under the network topol-ogy in which KDC( Key Distribution Center) is in the center of the network and nodes are uniformly distrib-uted around it. In addition,theoretical analysis and simulation verification are done, and comparative analy-sis with E-G scheme indicates that the key distribution scheme based on symmetric bivariate polynomial consumes the least energy.%在无线传感网络WSN( Wireless Sensor Networks)中,不同的密钥预分配方案使得网络整体的能量消耗不同,网络中每个传感器节点的能量消耗也不同。传感器能量的有限性在一定程度上限制了WSN密钥预分配的发展和应用。对集中式密钥分配方案和基于二元对称多项式的密钥分配方案进行了能耗分析,基于密钥分发中心KDC ( Key Distribution Center )在网络中心、节点均匀分布在它的周围的网络拓扑结构下,建立了两个方案的能耗模型,进行了理论分析和仿真验证,与E-G方案进行了对比分析。结果表明,基于二元对称多项式的密钥分配方案能量消耗最少。
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