摘要
本文讨论声屏障检测仪检测振动加速度的误差分析、仿真研究、校正,并计算声屏障振动的速度、位移,利用机理分析法建立数学模型求解。问题一:先用matlab绘出原始数据图像,然后通过梯形积分方法,求得声屏障的速度、位移和对应的图像;通过matlab的Jarque-Bera正态检验算法,将图像与题目中所给理想状态下曲线进行比较分析,求得随机误差、系统误差对测量结果的影响程度。问题二:首先采用滑动平均滤波法消除随机误差,对积分后的信号采用LMS算法对误差趋势项分别进行一次拟合与二次拟合,求出拟合表达式,然后进行波形修正得到正确的速度和位移图像,最后通过图像验证计算结果。问题三可尝试用在医学信号处理等方面。
This paper discusses the error analysis, simulation re- search and correction of detecting vibration acceleration by sound barrier detector, calculates the speed and displacement of sound barrier vibration, and builds a mathematical model to solve the problems through mechanism analysis. Problem One: First, the original data image id drawn using matlab, and then through trapezoidal integration method, the speed, displacement and the corresponding image of sound barrier are calculated; through the Jarque-Bera normal test algorithm of matlab, a comparative anal- ysis on the curves is made under the ideal conditions given in images and problems, and the influence of random error and sys- tem error on the detection result is calculated. Problem Two: First, the sliding average filtering method to eliminate random er- ror, and the first fitting and the second fitting are carride out re- spectively on the error tendencies for the signals after the inte- gration by using LMS algorithm, then the fitting expression is cal- culated, and then obtain the correct speed and displacement im- age are obtained through waveform correction, and finally the re- sult is verified through image. Problem Three,it can be attempted in medical signal treatment.
出处
《科教文汇》
2015年第25期174-177,共4页
Journal of Science and Education
基金
基金项目:该文获得第七届华中地区大学生数学建模邀请赛第三等奖
关键词
滑动平均滤波法
误差矫正
仿真计算
数值积分
LMS拟合
sliding average filtering method
error correction
simulation calculation
numerical integration
LMS fitting