一种基于校正无线电传播时间的室内三维定位模型

对室内终端进行基于无线通信基站的三维定位时,由于无线电在传播过程中,存在建筑物或树木遮挡、反射、折射等物理现象,导致基站到终端传播时间的测量值与精确值之间存在误差.为了减少上述误差对定位精度的影响,运用无线定位原理建立了一种基于校正无线电传播时间的改进的室内三维定位模型.通过对2016年全国研究生数学建模问题C题所提供的不同场景的数据分析,发现基站与终端无线电传播时间的测量值与其精确值之间存在线性关系,而且同一场景下近似有相同的线性关系,场景不同线性关系一般不同.基于这一现象,对基本的定位模型进行了合理的修正形成了改进的定位模型,数值实验表明改进的定位模型有很好的定位精度和鲁棒性.

An Indoor 3D Positioning Model Based on Corrected Radio Propagation Time

In the procession of radio propagation,there are some physical phenomenon such as shelter,reflection and refraction of the buildings or trees,which lead to the time error between the measured value and the exact value from the base station to the terminal when the indoor terminal is three-dimensional positioned based on wireless communication base station.In order to reduce the influence of the above error on the positioning accuracy,an improved indoor 3D localization model based on corrected radio propagation time is established in the paper,which utilizes the wireless positioning principle.According to the analyze the data of different scenarios provided by the question C of the Mathematical Contest in Modeling for the graduate students of China in 2016,it is found that there is a linear relationship between the measured value and its exact values of the radio propagation time of the base station and the terminal.Moreover,the linear relationship is similar to that in the same scenario,the linear relationships are different in different scenes.Based on this phenomenon,an improved positioning method was formed by modifying the basic mathematical model reasonably.The numerical experiments show that the improved location model has good positioning accuracy and robustness.