首页> 中文期刊> 《仪表技术与传感器》 >MCMC粒子滤波和复化Newton-cotes算法测算区域面积的方法

MCMC粒子滤波和复化Newton-cotes算法测算区域面积的方法

         

摘要

To improve disadvantages of irregular-area measurement in positioning accuracy and area calculation accuracy, a new area measuring method which has characteristics of high precision and tiny area error was proposed in this paper. It combined the differential GPS measurement system and Markov chain Monte Carol particle filter to locate. And it fitted the boundary curve and calculated areas through the compound Newton-cotes algorithm. The new method used MCMC particle filter to process GPS da-ta. The filter algorithm processed the non-Gaussian distribution noise and improved particle degradation. And the new method used compound Newton-cotes algorithm to calculate the area. The quadrature algorithm avoided the rounding error brought by the high-order interpolation, and further subdivided the area. Therefore, the new method improved positioning accuracy and area calculation accuracy. Experimental results show that the new method has characteristics of high accuracy and tiny errors.%针对不规则区域面积测算中定位精度和面积计算精度两方面不足,提出一种定位精度高、面积误差小的面积测算新方法。其采用一种组合定位方法精确定位,即将差分GPS测量系统( DGPS)与马尔可夫链蒙特卡罗( Markov chain Monte Carol,MCMC)粒子滤波相结合,再配合复化Newton-cotes算法,拟合边界曲线并准确求得区域面积。将MCMC粒子滤波应用于DGPS定位数据处理,其既可处理非高斯分布噪声,又解决粒子滤波( PF)的粒子退化问题,提高定位精度。将复化Newton-cotes算法应用于面积计算,其既避免高次插值的舍入误差,又将面积区间进一步细分,提高面积计算精度。实验结果表明,该新方法定位精度更高,面积误差更小。

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