多方案加权模型在拟合复杂水位流量关系中的

目前,水位流量关系受单一因素影响的拟合,已有了比较成熟的方案,但对于受多因素影响的水位流量关系的拟合,尚没有理想的方案。多方案加权模型就是基于多因素影响的水位流量关系而建立的,本文运用了系统理论方法和数理统计理论对多方案加权模型从理论上进行了分析,并通过对湖南省朗梨水文站的实测水位流量资料的拟合,对其有效性进行了探讨。     

一种加速精密单点定位收敛的新方法

将自适应选权滤波应用到参数估计中,对于合理地选取未知参数及其方差-协方差阵的初值,提出了利用选权拟合的方法。算例结果表明,采用新方法单点定位可以在较短的时间内达到dm甚至cm级的精度。     

Reducing Influence of Gravity Model Error in Precise Orbit Determination of Low Earth Orbit Satellites

Based on the orbit integration and orbit fitting method, the influence of the characters of the gravity model, with different precisions, on the movement of low Earth orbit satellites was studied. The way and the effect of absorbing the influence of gravity model error on CHAMP and GRACE satellite orbits, using linear and periodical empirical acceleration models and the so-called "pseudo-stochastic pulses" model, were also analyzed.     

A TEST OF THREE FITTING CRITERIA FOR MULTIRESPONSE NON-LINEAR MODELING

This work evaluates objective functions for multiresponse non-linear modeling using computersimulations.Tests are performed under a variety of signal-to-noise ratios and noise variance-covariancestructures.The standard error of prediction for the model parameters,computed from 50 trials,is usedfor performance comparisons.The full rank and rank-deficient problems are considered.For the fullrank problem one model was investigated,a first-order two-step consecutive reaction model,and twoobjective functions were considered,the total sum of squares and the determinant criterion.Nodistinction could be made between the two objective functions for this model.For the rank-deficient case two models were investigated,a first-order two-step consecutive reactionas in the full rank case,and a pH titration model described by the Henderson-Hasselbalch equation.Three objective functions were investigated for the rank-deficient case,the total sum of squares,aweighted total sum of squares and the determinant criterion.The total sum of squares was found toperform poorly under all conditions tested compared to the weighted total sum of squares and thedeterminant criterion.The determinant criterion was found to perform much better than the other twocriteria when the data have a combination of a low signal-to-noise ratio and high variance-covariancenoise structure.     

Difference between model parameter estimation and curve fitting

Within a single well, a least-squares model such as Ø = a +bT _sonic may be appropriate, insofar as random errors in core measurement and in sonic tool response are concerned. However, if several wells are in the reservoir, and if structural variation across the field exists, no single least-squares solution will adequately describe all wells with the same precision. Interpolation, via a cubic spline, is offered as an alternative to model this type of variation. However, to control both inter- and intra-well variability, a combination of least squares and interpolation is the model of choice.     

GPS定位中卫星坐标计算的曲线拟合法

在ＧＰＳ单点定位和相对定位中都需要不断计算卫星的坐标。卫星的坐标是根据接收到的广播星厍来计算的。在后处理中也可以用精密星历来计算卫生坐标。而每次计算卫星坐标都需要占用大量内存和时间,影响计算好曲线拟合法的基本模型,讨论了知识垢多项式算法,通过对实际观测数据的处理表明采用正交多项式拟合效果最好。另外还就曲线拟合的取样点和多项式的阶数等问题进行了讨论。     

Artificial Neural Network Approach for Reconstruction of Event Arrival-Direction in Wide-Angle Atmospheric Cerenkov Detector Arrays: A Feasibility Study

A feasibility study has been carried out to assess the potentialof an Artificial Neural Network (ANN) for determiningthe direction of incidence of an Atmospheric Cerenkov Event(ACE) from the arrival-time information registered by aspaced-array of wide-angle Cerenkov detectors. Theresults obtained so far, using both, simulated and experimental data, indicate that a properly-trained net can yield a degree of accuracy which is comparable with what is achieved through the conventional ²-minimization, wavefront-fitting procedure.     

希尔伯特-黄变换中拟合过冲和端点飞翼的原因及解决办法s

深入分析了现有的三次样条拟合方法，指出ldquo;拟合过冲rdquo;现象产生的原因，并提出新的三次样条拟合方法和正弦函数拟合方法. 这两种新拟合方法都具有消除ldquo;过冲rdquo;现象，拟合函数连续、一阶导数连续、计算简便、计算量小、易于操作等优点. 同时，指明了ldquo;端点飞翼rdquo;现象产生的原因，并提出一种处理资料曲线的端点问题的技巧. 该技巧能够在不改变资料曲线的条件下消除ldquo;端点飞翼rdquo;现象. 拟合新方法和新技巧能结合运用，得到完全没有ldquo;拟合过冲rdquo;和ldquo;端点飞翼rdquo;的拟合曲线，为时序曲线固有模态函数分解提供了可靠的技术基础.      

局部重力场的非均匀B样条最小二乘逼近

讨论了非均匀Ｂ样条最小二乘数据拟合的基本原理,并分别就不规则点及规则网格点情形给出了相应的计算方法,给出了两个数值试验的例子以及一个在局部重力场逼近中的应用实例,试算结果表明该方法具有很好的精度和稳定性,对所述方法在测绘中的应用前景进行了展望。     

相关函数法计算相关距离的分析探讨

根据数百个土层土性参数相关距离的计算, 对相关函数法计算相关距离的方法、相关函数型式选择、拟合范围等问题进行了分析探讨。