基于低功耗蓝牙的接收信号强度指纹定位方式, 文章提出了一种无需采集过多数据点建立指纹数据库且能及时矫正定位误差的定位方法。该方法分为两个阶段, 离线数据采集阶段, 利用低秩矩阵填充理论恢复只有少量采集点的指纹数据库, 减小前期工作量；在线数据匹配阶段, 对指纹数据库进行聚类匹配后, 将定位问题转化为压缩感知模型, 提高定位精确度。对用户在线阶段的实时数据进行均方根操作、反距离权重插值矫正和完善指纹库。实验结果表明, 提出的定位算法能够有效减少40%左右的前期数据采集工作量, 并将定位误差由0.93 m减小至0.71 m。

In order to achieve fingerprint location based on the strength of low energy bluetooth received signal, a new fingerprint location method is proposed, which does not need to collect too many data points to establish fingerprint database and can correct the positioning error in time. In the off-line phase, we use the low rank matrix completion theory to recover the fingerprint database with only a small number of acquisition points to reduce the workload. In the online stage, after clustering and matching the fingerprint database, the localization problem is transformed into compressed sensing model to improve positioning accuracy. Experimental results show that the proposed positioning algorithm can effectively reduce about 40% workload of early data acquisition and reduce the positioning error from 0.93 m to 0.71 m.