摘要
为了合理利用原始采集数据并提高正弦波形数据拟合重构的精度,在最小二乘法原理的基础上,提出了抛物线拟合细分最小二乘法拟合正弦波形的方法。根据所采集数据点的特点,将数据进行分段抛物线插值细分。按照数据间抛物线变化趋势增加拟合数据量,然后对细分后的数据进行最小二乘拟合得到正弦曲线的参数。通过软件算法仿真并进行了实验数据处理,结果表明,该算法合理利用了所采集的数据,可使正弦波形参数的相位估计重复精度从最小二乘的-4.555×10-4提高到1.367×10-4。
In order to make rationally use of the original data and improve the data fitting precision of the sine waveform, the method of the parabola and least square sine waveform fitting is presented based on the least square method. According to the character of the collected data, the parabola interpolation subdivision is carded out based the continuous serial points divided by some demand. According to the change trend of data, the least square fitting is carried out after the parabola subdivision. The experiment data are processed based on the software program after emulating. The result shows that the algorithm reasonably makes use of the gathered data and enhances effectively the precision of the parameter of the sine waveform after the curve fitting. And comparing by the only least square method, the precision of phase is improved from -4.555×10^-4 to 1.367×10^-4 for data in the actual experiment.
出处
《计算机工程与设计》
CSCD
北大核心
2009年第11期2793-2795,共3页
Computer Engineering and Design
基金
中国科学院知识创新工程领域前沿基金项目
关键词
正弦
最小二乘
抛物线插值
算法
相位
sine wave
ieast square
parabola interpolation
algorithm
phase
