Filters for linear sea-wave prediction

Deterministic sea-wave prediction (DSWP) models are appearing in the literature designed for quiescent interval prediction in marine applications dominated by large swell seas. The approach has focused upon spectral methods which are straightforward and intuitively attractive. However, such methods have the disadvantage that while the sea is aperiodic in nature, the standard discrete spectral processing techniques force an absolutely periodic structure onto the resulting sea surface prediction models. As it is the shape of the sea surface that is important in such applications, particularly near the end of the domain which is important, the standard windowing techniques used in signal processing work to reduce leakage artifacts cannot be employed. This has necessitated the use of end matching methods that can be both inconvenient and may reduce the fraction of the time for which legitimate predictions are available. As a result, an investigation has been undertaken of the use of finite impulse response prediction filters to provide the necessary dispersive phase shifting required in DSWP systems. The present work examines the theoretical basis for such filters and explores their properties together with their application to both long and short crested swell seas. It is shown that wide band forms of such filters are only convergent in the sense of distributions having both infinite duration impulse responses and asymptotically divergent first derivatives. However, appropriate band limitation can produce useful finite impulse responses allowing implementation via standard discrete convolution methods. It is demonstrated that despite the prediction filters having a non-causal impulse response such filters can be used in practice due to a combination of the asymmetric nature of the impulse response and the fundamental nature of the prediction process. The findings are confirmed against actual sea-wave data.     

基于卡尔曼滤波的时间序列影像背景估计

文章将卡尔曼滤波理论应用于时间序列影像的背景估计,引入衰减记忆因子解决滤波的发散问题,最终实现了对背景信号的估计。     

惯性／双星组合导航系统的滤波与仿真

介绍了惯性导航系统和双星导航系统各自的运行方式和优缺点；详细推导了组合导航系统的误差方程和量测方程；介绍了Kalman滤波的整个过程并最后进行了仿真计算。仿真结果显示，惯性导航系统和双星导航系统的组合弥补了各自的不足，具有较好的精度和可靠性。     

Parameter identification of inelastic structures under dynamic loads

The generalized model of differential hysteresis contains 13 control parameters with which it can curve‐fit practically any hysteretic trace. Three identification algorithms are developed to estimate the control parameters of hysteresis for different classes of inelastic structures. These algorithms are based upon the simplex, extended Kalman filter, and generalized reduced gradient methods. Novel techniques such as global search and internal constraints are incorporated to facilitate convergence and stability. Effectiveness of the devised algorithms is demonstrated through simulations of two inelastic systems with both pinching and degradation characteristics in their hysteretic traces. Owing to very modest computing requirements, these identification algorithms may become acceptable as a design tool for mapping the hysteretic traces of inelastic structures. Copyright © 2002 John Wiley & Sons, Ltd.     

Continuous wavelet-like filter for a spherical surface and its application to localized admittance function on Mars

We have developed a 2D isotropic continuous wavelet-like transform for a spherical surface. The transform is simply defined as the surface convolution between the original field and a kernel, based on the zeroth-order Bessel function with a spherical correction. This spherical correction violates the geometric similarity for the various scales of the kernels, which becomes more apparent at longer wavelengths. We found numerically that this transform is practically equivalent to a Gaussian bandpass filter in the spherical harmonic domain. We have applied this wavelet-like transform on the recently acquired Martian gravity and topography fields. Using a ratio constructed locally from these two fields, we have constructed a map describing the lateral variations of the localized admittance function on Mars.     

井间地震串联滤波波场分离方法

本文根据井间地震波场响应以及多种波场分离方法的性能，采用基于Ｋ－Ｌ变换的特征向量滤波与中值滤波相结合的串联滤波方法分离井间地震观测到的上、下行反射波。数值计算结果表明：在波场分离过程中，由于同时综合考虑了地震波能量主分量分布以及反射波同相轴时差两个参数，使得分离效果明显、处理更为简便，具有滤波特征矢量的选取条件更为宽松、无需精确确定拉平轴的时间等特点。     

Simultaneous identification of time and space variant dynamic soil properties during the 1995 Hyogoken-Nanbu earthquake

Time and space variant soil properties at a liquefied site were simultaneously identified in the time domain by using borehole array strong motion records. During soil liquefaction at a site, soils usually show a wide variety of non-linear behavior along the depth as well as non-stationary behavior. Strong ground motion records were obtained at Port Island borehole array observatory, Kobe, during the 1995 Hyogoken-Nanbu earthquake. In this study, the instrumented soil was modeled by the equivalent linear MDOF system, and an extended Kalman filter with local iteration was employed for the identification of the soils. The identification process was successfully conducted, and the stress–strain relationships of the soils at the liquefied site were obtained from different depths all at once.     

基于指数趋势模型的卡尔曼滤波法在危岩体变形分析中的应用

以指数趋势模型为基础,建立卡尔曼滤波模型对链子崖危岩体GA监测点的位移量进行预测。首先,把非线性的指数趋势模型经线性化处理后转化成线性模型,用线性最小二乘法求出线性化后的模型参数,再将线性化后的模型参数看作带有动态噪声的状态向量,建立卡尔曼滤波模型,以此模型为基础,对危岩体的位移量进行预测。实例计算表明,用卡尔曼滤波模型对危岩体的位移量进行预测,其预测误差较小,效果较为理想。     

锚固站对BDS自主导航精度的影响分析

介绍了自主导航的轨道确定及时间同步观测方程。以北斗仿真全星座为对象,通过采用仿真星间及卫星与地面锚固站间观测值,进行了60 d自主导航解算,分别探讨了锚固站数量及锚固站观测连续性对北斗卫星导航系统（BDS）3类卫星自主导航精度的影响。结果表明：锚固站数量及观测连续性对RERR及CERR无影响;加入1个锚固站即可显著改进URE结果精度,继续增加锚固站数量虽然可进一步提高URE精度但其改进效果有限;锚固站观测中断时间越长,其对应自主导航精度越低。因此,在BDS自主导航运行模式下应保持较高的锚固站观测频次以保证自主导航精度;另外,锚固站数量及观测连续性对北斗系统3类卫星自主导航精度的影响无显著差异。     

集合卡尔曼滤波同化中雷达位置的敏感性研究

针对对流尺度集合卡尔曼滤波（EnKF）雷达资料同化中雷达位置对同化的影响进行研究。为了考察强对流出现在雷达不同方位时集合卡尔曼滤波同化雷达资料的能力,以一个理想风暴为例,设计了8个均匀分布在模拟区域周围的模拟雷达进行试验。单雷达同化试验中,初期同化对雷达位置较敏感,而十几个循环后对雷达方位的敏感性降低。造成初期同化效果较差的雷达观测位于模拟区域正南和正北方向,这两部雷达与模拟区域中心的连线垂直于风暴移动方向（即环境气流的方向）。双雷达试验的结果表明,正东、正南、正西和正北方向的雷达组合观测会使同化初期误差较大,这说明并不是所有与风暴连线成90°的雷达组合都能在短时同化中得到合理的分析结果,还需要都处于模拟区域对角线上（即与环境气流成45°夹角）,同化效果才较好。短时同化后的确定性预报结果表明,较大分析误差也会导致较大预报误差。这些分析误差主要是由于同化初期不准确的集合平均场驱动出的不合理的背景误差协方差造成的。当背景场随着同化循环得到改进后,驱动出的合理的背景误差协方差使得不同位置雷达同化造成的差异逐步减小。基于上述结果,引入迭代集合均方根滤波（iEnSRF）算法,结果显示使用该算法后,雷达位置对同化效果的影响减小,同化不同位置的雷达资料均能有效降低分析和预报误差。