The improvement of network energy-efficiency is crucial in wireless sensor network design. In current square grid, the relay times can' t be predicted, which leads to the uncertainty that causes different energy-efficiency formulas by different transit ways in same distance. To solve this problem,in this paper we introduced least hop technique and adopted weighted mean algorithm to establish a square network energy consumption model in coordinate system. A more precise energy consumption expression for square-grid network is derived, which solves the ambiguity of energy expression. Simulation analyses results validate that the proposed algorithm better estimates the relay times, and the accuracy of energy expression is improved as well.%提高网络的能量有效性是无线传感器网络设计的关键.针对现有的正方形网络中由于中继次数无法预知,由此带来的不确定性导致相同传输距离下不同传输路径的能耗表达式不同的问题,引入最小跳数技术,采用加权平均算法,建立了坐标系下正方形网络的能耗模型,推导出更为准确的正方形网格的能耗表达式,解决了能耗表达式模糊的问题.仿真分析表明算法较好地估计了网络的中继次数,提高了能耗表达式的精度.
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