斜度测量的等误差直线逼近的迭代算法

ADXL202集成加速度传感器用于斜度测量时,其输出的加速度值与被测量的斜度之间是非线性关系,采用等误差直线逼近法实现非线性曲线的直线逼近。因为节点计算的复杂性,提出一种等误差直线逼近的迭代算法,并编程实现了该算法。在给定允许逼近误差不大于0.005的条件下,只需要六段逼近直线,这对用MCU进行信号处理,实现智能传感是非常有利的。

Iteration algorithm of straight-line approaching with equal-error for tilt measurement

There is a nonlinear relation between the output of ADXL202,an integrated accelerometer,when used as a tilt sensor,and the tilt to be measured.Equal-error straight-line method is used to approach this nonlinear curve.An iteration approximation algorithm is proposed to calculate the nodes,which is more complicated with direct solving.The result of program running gives 6 segments of straight-line to approach the nonlinear relation with no greater than error of 0.005,which is a good match with micro controller as signal processor to realize the intelligent sensor.