本文選題：聯(lián)合平差　切入點：相對權(quán)比　出處：《武漢大學(xué)學(xué)報(信息科學(xué)版)》2016年12期 　論文類型：期刊論文

【摘要】：提出了將總體最小二乘方法應(yīng)用于聯(lián)合平差的模型,推導(dǎo)了附有相對權(quán)比的總體最小二乘聯(lián)合平差方法。采用了多種方案來確定相對權(quán)比的大小。以參數(shù)估值與真值的差值范數(shù)作為評價指標(biāo),分析比較了單一數(shù)據(jù)總體最小二乘平差和兩類數(shù)據(jù)總體最小二乘聯(lián)合平差的模擬算例;通過給各類數(shù)據(jù)加入不同大小的隨機噪聲,分析了判別函數(shù)最小化法中隨機噪聲大小對確定相對權(quán)比的影響。模擬算例表明,平差結(jié)果的質(zhì)量與相對權(quán)比的選取有關(guān);當(dāng)先驗信息準(zhǔn)確時,驗前單位權(quán)方差法的結(jié)果最好,而當(dāng)先驗信息不準(zhǔn)確時,判別函數(shù)為∑n_1i=1|V1_i|+∑n_2j=1|V2_j|及∑n_1i=1|V1_i|+∑n_2j=1|V2_j|/(1+X~TX)法均能取得有效的平差的判別函數(shù)最小化結(jié)果。
[Abstract]:In this paper, a model of combined adjustment using the total least square method is proposed. The total least squares combined adjustment method with relative weight ratio is derived. Several schemes are used to determine the magnitude of relative weight ratio. The difference norm between parameter estimation and true value is used as the evaluation index. This paper analyzes and compares the simulation examples of single data total least square adjustment and two kinds of data total least squares combined adjustment, by adding different sizes of random noise to all kinds of data, The influence of random noise size on determining relative weight ratio in minimization method of discriminant function is analyzed. The simulation example shows that the quality of adjustment results is related to the selection of relative weight ratio, and when the prior information is accurate, the result of prior unit weight variance method is the best. When the priori information is not accurate, the discriminant function is 鈭，

本文編號：1607426