一维波动方程的小波解法

利用具有紧文集的Datubechies正交小波基函数，构造出了一种新的计算一维波动方程的数值方法——小波解法。由于该方法充分利用了Daubechies小波函数良好的局部性质，并且巧妙地运用了Fourier变换，数值试验表明该方法不但精度高，而且计算量小。     

基于卫星图像的CDF9/7提升小波变换硬件实现

研究JPEG2000标准中CDF9/7提升小波的硬件实现问题,提出一种适合大尺寸卫星图像实时处理的FP GA设计,并对其进行仿真验证。该设计使用VHDL语言进行描述,并以XiLinxVirtexII系列中的xc2v1000-4bg575器件 为基础,在ise6.1下完成综合,用Modelsim5.8进行后仿真。综合器件最高工作时钟110MHz。分析表明,该设计在功耗 和资源敏感的场合具有优势。     

高速传输图像压缩系统设计与实现

介绍一种高速传输图像压缩系统的设计和硬件实现方案。编码方法用一种改进的 SPIHT压缩编码算法 ,基于一片十万门 FPGA实现压缩核心算法的硬件。该系统目前已经实现了对帧尺寸为 1 2 8× 1 2 8,8bpp,帧频为 1 0 0 f/s的连续图像进行高速实时压缩 ,若作优化还可达到更高的帧频 ( >1 5 0 f/s)     

具有理论阈值的子波域滤波方法

本文在对多尺度滤波和子波域滤波综述的基础上，用奇异性和自相似性理论对信号与噪声的不同性质进行了分析，揭示了信号与噪声的多尺度数学机理，并对基于此机理的Ｍａｌａｔ去噪声算法和子波域波波（ＷＴＤＦ）算法进行了研究，首次给出了ＷＴＤＦ的阈值选取方法和理论证明，完善和推广了ＷＴＤＦ，通过仿真计算表明，具有理论阈值的ＷＴＤＦ较之传统的试凑阈值ＷＴＤＦ性能有明显的改善。     

基于小波变换的运动点目标检测方法

在运动点目标的检测问题中，当目标轨迹产生随机偏移时已有检测算法的效果很不理想。为解决这一难题，本文定义了一种新的小波变换——方向小波变换，提出了一种基于方向小波变换的多尺度点目标检测方法，能够稳定、有效地检测出各种作近似匀速直线运动的点目标轨迹     

基于SAR影像平地与水域ROI的由粗到精匹配方法

INS/SAR组合导航系统主要是基于图像相似性相关原理,即将SAR实时获取的图像与预存在匹配处理机中的基准图进行配准比较,得到载体相对于目标或预定区域的位置偏差,从而修正INS的累积误差,保证载体的导航精度.但由于基准图与实时图获取的条件不同,两者存在较大差异,会损害匹配概率和匹配精度,进而影响载体的定位精度.基于此提出了基于SAR影像平地与水域特征区域(ROI:Region of Interest)的由粗到精的匹配方法:即利用实时图全部小波第二层低频信息在基准图小波第二层特征影像上进行全局搜索,荻取实时图中心点的粗匹配坐标,根据粗匹配坐标找到对应的基准图上的区域及所包含的平地与水域ROI,再找到ROI在实时图上对应的大致区域,利用互相关算法对ROI进行匹配,得到最终匹配坐标.并对该方法进行了仿真计算,结果表明该方法在星载SAR/机载SAR匹配中取得很好的效果,满足高匹配精度的同时,增强了不同源SAR匹配的适应性.     

Wavelet modelling in support of IRI

The slant total electron content (STEC) of the ionosphere is defined as the integral of the electron density along the ray-path of the signal between the transmitter and the receiver. So-called geometry free GPS measurements provide information on the electron density, which is basically a four-dimensional function depending on spatial position and time. Since ground-based measurements are not very sensitive to the vertical structure within the atmosphere, the ionosphere is often represented by a spherical layer, where all electrons are concentrated. Then the STEC is transformed into the vertical total electron content (VTEC), which is a three-dimensional function depending on longitude, latitude and time.In our approach, we decompose an ionospheric function, i.e. the electron density or the VTEC, into a reference part computed from a given model like the International Reference Ionosphere (IRI) and an unknown correction term expanded in a multi-dimensional series in terms of localizing base functions. The corresponding series coefficients are calculable from GPS measurements applying parameter estimation procedures. Since the GPS receivers are located rather unbalanced, finer structures are modelable just in regions with a sufficient number of observation sites. Due to the localizing feature of B-spline functions we apply a tensor product spline expansion to model the correction term regionally. Furthermore, the multi-resolution representation derived from wavelet analysis allows monitoring the ionosphere at different resolutions levels. We demonstrate the advantages of this procedure by representing a simulated VTEC data set over South America.     

Variations of mid-term periodicities in solar activity physical phenomena

In this work we make an analysis of significant periodicities shown by phenomena linked to solar activity such as coronal hole area, radio emission in the 10.7 cm band and sunspots. We use the wavelet method that gives information in the frequency and time domains. Of particular interest are the mid-term periodicities (1–2 yrs). Over the whole period, coronal holes and radio variations show an important annual variation and a quasi-biannual periodicity. The increase in these variations is most important around the years of maximum solar activity. When the time series are separated in low and high frequencies, the latter are modulated by the general solar cycle. Although somewhat shifted in frequency, these periodicities might well correspond with those found in cosmic ray intensity, solar magnetic flux and other terrestrial and interplanetary phenomena as a wavelet coherence analysis of these series with the solar magnetic flux reveals.     

改进小波阈值去噪法在管道泄漏检测中的应用

基于负压波式的管道泄漏检测方法中,需要解决的核心问题之一是对负压波信号的去噪。在分析了利用小波变换理论与小波阈值去噪的基础上,对传统的硬阈值和软阈值函数、双曲型和指数型函数与改进的阈值函数算法进行了对比。实验表明,改进算法在处理管道泄漏检测中,对检测的负压波信号能够获得较大的信噪比,具有较好的去噪能力,能有效提高泄漏检测精度。     

基于小波变换的卫星阻力系数分析

以不同弧长解算天宫一号空间实验室连续55天（d） GPS轨道数据得到卫星阻力系数Cd 序列,并对同期的太阳辐射通量 f 10.7 和地磁活动指数 ap,Ap序列高、低频多层小波分解。空间环境参量和Cd 序列各层信号滑动相关性的统计分析结果表明小波分解的阻力系数序列与对应的 f 10.7 ,Ap 序列整体具有很好的滞后相关性,验证了通过 f 10.7 ,Ap 预报 Cd 的可行性。对不同回归模型和回归分析样本序列长度n分析Cd预报值残差表明：采用f 10.7 一元回归模型,并取n20 d时, Cd 预报结果最优。另外,NRLMSIS-00模型在350km高度的中低纬度区域,地磁活动上升相响应过度,而下降相则响应不足;太阳辐射通量上升相响应适度,下降相响应过度。最后对应用前景进行总结,该方法对提高航天器轨道预报精度具有重要参考价值。