基于布尔感知模型的N段有向覆盖与 K重全向覆盖

针对无线传感器网络节点的布尔感知模型，在满足覆盖要求的条件下，文章对N段有向感知中邻近段之间等概率跳变或以恒定角速度ω扫描2种情况，分别给出传感器节点工作在有向感知模型下的分段数Ⅳ与全向模型下的覆盖重数K之间的关系表达式。之后，进一步对节点以恒定角速度∞扫描，考虑时间积累的条件下，给出了时间m、分段数N与覆盖重数K的表达式。通过以上研究，可以将有向感知模型的覆盖问题转化为求取全向感知模型下的覆盖重数问题。

From Directional N Segments Coverage to Omnidirectional K-Coverage Based on Boolean Perceptual Model

Aiming at Boolean perceptual model in wireless sensor network, under the premise of coverage requirements, for two different situations, whether node was equal probability hopping or scanning at a constant angular velocity, the relationship expression was given between the number of segments N in directional model and the coveting weight number K in omnidirectional model by means of concrete analysis and probability calculation. Furthermore, under the circumstances of node was scanning at a constant angular vdlocity,considering the time factor, an expression was also given between the number of segments N and the coveting weight number K. Based on these studies,seeking to the coverage problem under directional perceptual model could be converted to strike coverage multiplicity under omnidirectional perceptual model.