基于张弛振荡器和最小二乘法的量化方法  

Quantitative Methods Based on Relaxation Oscillator and Least Squares

作　　者：王树森[1] 杨艳[1] 段其昌[2] 

机构地区：[1]济源职业技术学院,河南济源459000 [2]重庆大学自动化学院,重庆400030

出　　处：《仪表技术与传感器》2012年第4期100-103,110,共5页Instrument Technique and Sensor

基　　金：河南省科技厅科技攻关项目(092102210327);河南省教育厅科学技术研究项目(2008C520005);河南省青年骨干教师资助项目(2010GGJS-258)

摘　　要：用软件设计替代部分硬件设计,降低硬件系统复杂度,提高系统性价比。设计了一款简化张弛振荡器,对电路系统进行理论分析和实际测试。采用最小二乘法对测试数据进行拟合。对拟合结果进行对比分析。采用分段拟合方法,有效降低了拟合多项式的幂次数和拟合误差,提高了数据拟合度,优化了基于简化张弛振荡器的量化数学模型。在温度检测系统中得到应用,系统运行稳定,误差小于0.1℃.In order to reduce the hardware complexity and increase the cost,part of the hardware design was replaced by software design.A simplified relaxation oscillator was designed,analyzed and tested.Test data was fit using least squares.Fitting results were analyzed by comparison method.In order to reduce the number of polynomial fitting power and fitting error,and improve the goodness of fit,segmentation fitting method was used.This approach optimized mathematical model（based on simplifing the relaxation oscillator）.This method was used in the temperature detection system.The system is stable.The error is less than 0.1 ℃.

关 键 词：张弛振荡器 最小二乘法 多项式拟合 误差 分段 数学模型 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置]