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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.
When performing three-dimensional positioning on an indoor terminal based on a wireless communication base station, physical phenomena such as buildings or trees obstructing, reflecting and refrading exist during the propagation of the radio, resulting in an error between the measured value and the precise value of the propagation time from the base station to the terminal In order to reduce the influence of the error on the positioning accuracy, an improved indoor three-dimensional positioning model based on corrected radio propagation time is established by using the principle of wireless locating.According to the different scenarios provided by the 2016 National Graduate Mathematical Modeling Question C The data analysis shows that there is a linear relationship between the measured value of the radio propagation time of the base station and the terminal and its exact value, and the same linear relationship is approximately the same in the same scenario, and the different linear relationships of the scenarios are generally different. Based on this phenomenon, A reasonable correction is made to form an improved localization model. Numerical experiments show that the improved localization model has good localization accuracy and robustness.