本文選題：擬合法　切入點(diǎn)：最小二乘法　出處：《解放軍理工大學(xué)學(xué)報(bào)(自然科學(xué)版)》2016年05期 　論文類(lèi)型：期刊論文

【摘要】：為了進(jìn)一步提高單擺測(cè)重力加速度的數(shù)據(jù)擬合精度,基于最小二乘法原理,用線性擬合法分別與指數(shù)擬合法、對(duì)數(shù)擬合法、冪函數(shù)擬合法及多項(xiàng)式擬合法結(jié)合使用的方法,獲得了不同精度的重力加速度擬合值。計(jì)算結(jié)果表明:采用線性擬合法分別與指數(shù)擬合法、對(duì)數(shù)擬合法、冪函數(shù)擬合法結(jié)合使用時(shí)的數(shù)據(jù)擬合精度均比直接采用一次線性擬合法低;采用線性擬合法和多項(xiàng)式擬合法結(jié)合使用時(shí)的數(shù)據(jù)擬合精度比直接采用一次線性擬合法高;采用線性擬合法和多項(xiàng)式擬合法結(jié)合使用時(shí)的數(shù)據(jù)擬合精度隨著多項(xiàng)式擬合次數(shù)的增加先提高后降低,出現(xiàn)了龍格現(xiàn)象。
[Abstract]:In order to further improve the fitting accuracy of gravity acceleration measured by single pendulum, based on the principle of least square method, the linear fitting method is combined with exponential fitting method, logarithmic fitting method, power function fitting method and polynomial fitting method, respectively. The fitting values of gravity acceleration with different accuracy are obtained. The calculation results show that the linear fitting method is used to match the exponential method and the logarithmic fitting method, respectively. The fitting accuracy of the power function fitting method is lower than that of the direct linear fitting method, and the fitting precision of the power function fitting method is higher than that of the first linear fitting method. With the increase of the degree of polynomial fitting, the precision of data fitting is increased first and then decreased with the combination of linear fitting and polynomial fitting.
【作者單位】： 解放軍理工大學(xué)野戰(zhàn)工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(51379213) 國(guó)家科技支撐計(jì)劃資助項(xiàng)目(2014BAB16B05)
【分類(lèi)號(hào)】：O314

【相似文獻(xiàn)】

相關(guān)期刊論文 前3條

1 于全芝,宋連科,遲艷玲,范樹(shù)海,李國(guó)華;多晶材料X射線衍射定量分析的多項(xiàng)式擬合法[J];光譜學(xué)與光譜分析;2004年02期

2 尹大偉;林君;朱凱光;王亞冉;李冰冰;;時(shí)間域航空電磁數(shù)據(jù)線圈運(yùn)動(dòng)噪聲去除方法仿真研究[J];吉林大學(xué)學(xué)報(bào)(地球科學(xué)版);2013年05期

3 ;[J];;年期

，

本文編號(hào)：1572506