基于Hilbert空间向量范数的网络选择算法

提出了一种基于Hilbert空间向量范数的网络选择算法.该算法定义Hilbert空间中的
向量范数表征满意函数，以修正由层次分析法给出的各指标权重因子；并利用基于修正权重
因子的Hilbert子空间中向量间的几何关系，衡量网络参考向量与用户目标向量间的相似性
，选择与用户需求最匹配的网络. 此外，通过定义向量间的角度及距离阈值构建的“容忍空
间”，控制垂直切换频率. 仿真结果表明，该算法能为不同业务应用选择与其服务质量需求
匹配的网络，并能有效降低切换次数，保持业务连续性.

A Network Selection Scheme Based on Hilbert Space Vector Norms

A network selection scheme based on Hilbert space vector norms is presented. It defines the vector norms as satisfaction function to revise the weighting factors of metrics given by analytic hierarchy process (AHP). Meanwhile, the scheme exploits vector geometrical relationships in Hilbert sub space basing on revised weights to measure similarities between vectors of network ability and user target. It can be used to choose the most suitable network for users, thereafter, it constructs a flexible space based on the both thresholds of angle and distance between network ability and user target vectors to control the handover frequency. Simulations fully indicate that the proposed scheme can select the appropriate network for various services accurately and reduce the frequency of vertical handover to maintain service constancy.