双边四元数傅里叶变换的性质

重新证明了一个二维实函数的双边四元数傅里叶变换具有四元埃尔米特性，并利用此性质构造性地证明了一个二维实值函数的双边四元数傅里叶变换可以被分解成具有不同对称性的4个部分．     

基于提升小波和Harris角点检测的版权认证算法

文章提出一种新型的零水印版权认证方案,该方法利用自适应Harris角点检测算法并结合哈尔整数小波来提取图像特征.通过合理选择阈值T和局部特征半径R,特征映射表现出稳定和易识别的特性,因此可用来构建鲁棒水印.仿真表明,该方案可以抵抗多种信号攻击,如高斯噪声、JPEG有损压缩等,并在版权保护领域具有一定的可行性与可靠性.     

煤矿顶板裂纹图像的小波分析

将数字图像处理技术引入到对煤矿顶板岩石裂纹图像的分析当中,这种通过图像研究裂纹的方法不依赖具体的岩石岩性及其力学特征。首先对裂纹图像进行多分辨率小波变换,分析图像的不同频带所包含的信息,接着对裂纹图像实现边缘提取,为图像的定量测量提供依据。     

一般Levy过程下带违约风险的可转换债券定价模型

对可转换债券的相应标的股价S_t=S_0exp[(r-q)t+X_t],在X_t是Levy过程的假设下,运用傅立叶变换和残数定理,得出了带有赎回和回售条款的可转换债券的定价公式;同时,结合Duffie关于衍生产品带违约风险的定价方法,给出了带违约风险的可转换债券定价公式.     

Satellite Image Adaptive Restoration Using Periodic Plus Smooth Image Decomposition and Complex Wavelet Packet Transforms

A satellite image adaptive restoration method was developed that avoids ringing artifacts at the image boundary and retains oriented features. The method combines periodic plus smooth image decomposition with complex wavelet packet transforms. The framework first decomposes a degraded satellite image into the sum of a "periodic component" and a "smooth component". The Bayesian method is then used to estimate the modulation transfer function degradation parameters and the noise. The periodic component is deconvoluted using complex wavelet packet transforms with the deconvolution result of the periodic component then combined with the smooth component to get the final recovered result. Tests show that this strategy effectively avoids ringing artifacts while preserving local image details (especially directional textures) without amplifying the noise. Quantitative comparisons illustrate that the results are comparable with previous methods. Another benefit is that this approach can process large satellite images with parallel processing, which is important for practical use.     

基于分数低阶统计量的正交小波盲均衡算法

对于服从分数低阶Alpha稳定分布的非高斯信号,其二阶和高阶统计量都是不存在的。当环境噪声为这种噪声时,基于高阶统计量的常数模盲均衡算法(CMA)的均衡性能很差。为了克服环境噪声服从分数低阶Alpha稳定分布时,CMA的性能缺陷,提出了一种基于分数低阶统计量的正交小波盲均衡算法。该算法利用分数低阶统计量来抑制Alpha稳定噪声,根据最小分散系数准则优化盲均衡算法的权向量,并对均衡器输入信号进行正交小波变换,通过降低均衡器输入信号的自相关性来加快收敛速度。水声信道仿真结果表明,该算法性能明显优于CMA。     

Consecutive tracking for ballistic missile based on bearings-only during boost phase

This paper proposes a modified centralized shifted Rayleigh filter(MCSRF) algorithm for tracking boost phase of ballistic missile(BM) trajectory with a highly nonlinear dynamical model based on bearings-only.This paper contributes three folds.Firstly,the mathematical model of an MCSRF for multiple passive sensors is derived.Then,minimum entropy based onedimensional optimization search to adaptively adjust the probability of the different filters for real time state estimation is deployed.Finally,the unscented transform(UT) is introduced to resolve the asymmetric state estimation problem.Simulation results show that the proposed algorithm can consecutively track the BM precisely during the boost phase.In comparison with the unscented Kalman filter(UKF) algorithm,the proposed algorithm effectively reduces the tracking position and velocity root mean square(RMS) errors,which will make more sense for early precision interception.     

动态过程的复频域分析

从建立复频域电路定律和电路模型入手,把时域电路通过拉普拉斯变换为复频域电路模型,建立简单的代数方程,利用拉普拉斯反演,求得动态过程中的电路响应.这一方法免除了经典的解微分方程,求初始值的复杂过程,更重要的是解决了换路定律和基尔霍夫定律之间的矛盾,从而使电路动态过程的分析和解决变得简单快捷.     

求解地下水不稳定流问题的拉普拉斯变换有限元方法

本文探讨了求解地下水不稳定流问题的拉普拉斯变换有限元方法的原理及步骤,通过对理想模型的计算,并与解析解结果进行比较,结果表明这种方法是有效的。图2,表3,参3。