GPS基准站中等效观测值的实时合成研究

为充分发挥ＧＰＳ基准站的作用，使之灵活适应ＧＰＳ差分和大地测量、地球动力学等多种需要，本文采用正交函数基底实时合成了所需指定采样率下的等效观测值，算法稳定可靠，可扩大ＧＰＳ基准站的应用范围。     

Notes on extended–range atmospheric prediction in the Northern Hemisphere winter

We examined the characteristic feature and predictability of low frequency variability (LFV) of the atmosphere in the Northern Hemisphere winter (January and February) by using the empirical orthogonal functions (EOFs) of the geopotential height at 500 hPa. In the discussion, we used the EOFs for geostrophic zonal wind (Uznl) and the height deviation from the zonal mean (Zeddy). The set of EOFs for Uznl and Zeddy was denoted as Uznl-1. Uznl-2, …, Zeddy-1, Zeddy-2…, respectively. We used the data samples of 396 pentads derived from 33 years of NMC, ECMWF and JMA analyses, from January 1963 to 1995. From the calculated scores for Uznl-1, Uznl-2, Zeddy-1, Zeddy-2 and so on we found that Uznl-1 and Zeddy-1 were statistically stable and their scores were more persistent than those of the other EOFs. A close relationship existed between the scores of Uznl-1 and those of Zeddy-1 30-day forecast experiments were carried out with the medium resolution version of JMA global spectral model for 20 cases in January and February for the period of 1984-1992. Results showed that Zeddy-1 was more predicta?ble than the other EOFs for Zeddy Considering these results, we argued that prediction of the Zeddy-1 was to be one of the main target of extended range forecasting     

用ECMWF数值预报产品作热带气旋路径预报的业务系统

以欧洲中心数值预报产品为基础,采用ＥＥＯＦＳ展开选取“典型场”作为数值预报产品的信息,以统计释用方法研究建立的,可以应用于南海区的热旋路径业务预报方法。该方法于１９９４年台汛期参加由广东省气象主持的“关于热带气旋预报业务试验项目”,进行了９个台风的共１４次预报试验,平均误差２４ｈ为１８７ｋｍ,４８ｈ为２５２ｋｍ。     

运用正交函数拟合预测新疆阿舍勒地区块状硫化物矿床

新疆阿舍勒块状硫化物铜锌矿床,是一个正在勘探的大型富铜矿床,矿体呈厚大透镜状,具层控特征,矿体和围岩之间密度差较大。地面重力方法,理应是最有效的勘探方法,但是,由于阿舍勒矿区地质构造过分复杂,地下不同深度的多种密度体叠合在一起,往往掩盖了矿体所产生的重力异常。为了解决这个疑难问题,通过研究,选择适当的正交函数去进行拟合,实现目标信息分离,将成矿层位的重力异常从实测重力异常值中分离出来,勾绘出了矿区线状构造成矿带的轮廓,揭示了矿区构造;指出找矿方向,圈出１１个重力异常,根据矿区矿石的最低密度大于围岩最高密度的实事,可以说：“凡有矿的地方必然显示出重力异常”。故使用本方法处理重力资料,在阿舍勒这类矿区,可具直接找矿效果。     

东海海域海表温度场的EOF分析

本文利用EOF分析方法,分析了东海26.5°N~33.5°N,122.5°E~129.5°E范围内自1984-2003年的年平均海表温度,结果显示出代表厄尔尼诺和黑潮、对马暖流、伸入黄海的高盐暖水舌的各种空间模态和时间演变情况。     

Empirical orthogonal function analysis of short time series of sectional data in the tropical western Pacific

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基于TOPEX/Poseidon资料的南海海面高度场的时空特征分析

采用经验正交函数(EOF)分解方法，对TOPEX／Poseidon卫星高度计在南海获得的1992年10月到1999年9月约7a的海面高度观测资料进行分析，从而获得南海海面高度距平场典型的空间分布型态及其对应的时间变化特征。结果表明，南海海面高度距平场在空间上主要表现为两种典型的分布结构：(1)由于冬、夏季风反转造成海盆尺度的涡旋结构，这种分布结构对南海海面高度距平场的方差贡献达27．46％；(2)NE—SW即吕宋—越南反相双涡结构，其方差贡献达20．37％。这两个模态都明显反映了季风的反转以及季风结构所造成的影响。同时，对各空间典型场所对应的时间系数序列进行了傅立叶谱分析，结果表明南海海面高度距平场存在多种时间尺度的变化。     

与经典插值问题相关的矩阵论

从数值线代数的角度研究其数值性态:给出几条扰动定理,讨论如何选取插值节点,并列出几点应用。     

Shoreline variability via empirical orthogonal function analysis: Part II relationship to nearshore conditions

The method of empirical orthogonal function (EOF) or principal component analysis (PCA) was used to investigate the spatial and temporal variability of shoreline data sets from Duck, North Carolina, the Gold Coast, Australia, and the United States Pacific Northwest. In the present work, an attempt is made to relate the individual modes of shoreline variability identified by the EOF analyses to select parameterizations of the nearshore environment. The parameters considered include the wave energy (E), the cross-shore and longshore wave energy fluxes (F_x and F_y), the wave steepness (H_o/L_o), the non-dimensional fall velocity parameter (Ω), the profile parameter (P), the surf-similarity parameter (ζ), and a surfzone Froude number (F_r). Correlation analyses were used to evaluate the linear relationship between each of these parameters and the temporal eigenfunctions, c_k(t), associated with individual modes of shoreline change. Typically, strong correlations were observed between longshore uniform modes and the monthly means of several of the nearshore parameters.     

Numerical modeling on the interaction of internal solitary wave with slope-shelf and modal analysis

On the basis of a nonhydrostatic numerical model,the interaction of internal solitary wave with slope-shelf was studied.The breaking and polarity transformation were analyzed.A "kink" structure,due to shoaling topography and higher nonlinear effect,was found to be generated by the leading wave before breaking.Coherent vortex shedding behind the leading wave was presented.The evolution characteristics of the modal structure were analyzed based on the empirical orthogonal function method.The modal structure was complicated due to the effect of the variable topography,especially when breaking occurred.In the performed experiments,the contributions to the total variance from higher mode jumped from no more than 20% to over 40%.