数论、高斯数在密码中的应用

我们熟知勾股定理32+42=52,22+32+62=72我们得到两个公式和应用.

高斯平均引数大地主题解算程序设计

介绍了大地主题解算基本方法,以Visual Studio 2010作为开发平台,采用C#语言编写,设计实现了一套基于高斯平均引数的大地主题解算实用程序,指出该程序功能强大,实现了单点和批量大地主题解算,能方便的将计算结果保存在文本,且精度满足大地测量及相应工程的需求。

基于MFC的坐标解算系统的设计与实现

本文详细阐述了大地主题解算的基本原理及常用方法,并针对当前多种解算方式进行比较。大地椭球体计算具有复杂性,在实际应用中存在许多困难。为解决该问题,本文采用高斯平均引数法进行正反算,根据VS2010开发平台和MFC框架设计一款大地主题解算软件。该软件基于高斯平均引数法数学模型,使大地主题解算更高效,提高坐标解算转换效率,为大地测量相关工作提供重要的技术支持。

球差透镜对余弦高斯光束聚焦特性的影响

本文基于余弦高斯光束通过球差透镜聚焦的轴上光强分布表达式,讨论了球差系数kS1及高斯光束菲涅耳数Nw对轴上光强的影响。数值计算结果表明负球差可作为获得轴向光强平顶分布的一种方法。当无球差时,最佳聚焦点位于几何焦点的左侧。当透镜具有正球差时,通过改变菲涅耳数Nw可以实现最佳聚焦点由几何焦点左侧zf1快速跃变到右侧zf2,此时出现焦开关现象。球差系数越大,对应的相对跃迁量Δzf=|zf1-zf2|也越大,而临界菲涅耳数(Nw)c则越小,如当kS1=0.5和0.3时,发生跃变的临界点分别为(Nw)0.5=7.03和(Nw)0.3=8.68,其相对跃迁量Δzf分别为0.246及0.146。

模糊变系数回归模型在基金评价中的应用

在现有的CAPM模型基础上,利用模糊变系数回归分析方法,将模糊数设置为高斯模糊数,扩大模糊回归分析的实用范围,并运用局部核权最小二乘法对模型进行求解。给出了评价指标GOF,基于现实生活更适用的评判标准,建立适用于中国基金市场的模糊估值模型;与经典回归模型相比较,采用模糊变系数回归得到的参数估计有更好的应用价值。实证结果表明模糊变系数回归方法具有较好适用性。

测量作业中距离检核方法对比分析

在对野外测量作业成果质量检核时,经常使用全站仪测距与大地线长比较做检核,但发现在新疆地区检核时出现误差较大的现象,由此展开分析可知,主要是由于经度的变化影响反算的大地线长,在短距离时使用高斯平均引数公式反算大地线长与全站仪测距具有可比性,而使用全站仪测距检核空间坐标计算的距离更为可靠。

大地主题解算方法综述

大地主题解算是大地测量中的重要问题,由于椭球的复杂性,随之产生的解算方法也是多种多样。本文分析了大地主题解算的一般方法及其公式的适用范围,指出了它们的特点和不足,讨论了现今常用解算方法存在的问题和进一步的研究方向。

海岸线长度量算方法的研究

海岸线是重要而宝贵的自然资源,准确量算海岸线长度是摸清海洋家底和实施有效管理的前提。但目前海洋界没有统一的海岸线长度量算方法。提出基于高斯平均引数的椭球面长度算法,并采用MapBasic语言的实现海岸线长度的自动化计算,通过验证和比对,比目前海洋界普遍采用的平面长度算法更准确,可在实际工作中推广。

大地主题解算几种不同算法在计算中应注意的问题

针对高斯平均引数法、白塞尔方法和嵌套系数法三种不同大地主题反解的数学模型,顾及到大地主题解算时可能出现的各种不同的特殊情况,指出相应算法存在的缺陷,提出相应的改进计算方法,并通过算例对改进后的算法进行验证。

A CMOS Low Power Fully Differential Sigma-Delta Frequency Synthesizer for 2Mb/s GMSK Modulation

A CMOS fully-differential 2.4GHz ∑-△ frequency synthesizer for Gaussian minimum shift keying （GMSK）modulation is presented. A pre-compensation fractional-N phase-locked loop（PLL）is adopted in the modulator.The transfer function of the type- Ⅱ third-order phase-locked loop is deduced,and the important parameters that affect the loop transfer function are pointed out. Methods to calibrate the important loop parameters arc introduced. A differential tuned LC-VCO and a fully-differential charge pump are adopted in the PLL design. The designed circuits are simulated in a 0.18gm 1P6M CMOS process. The power consumption of the PLL is only about llmW with the low power consideration in building blocks design, and the data rate of the modulator can reach 2Mb/s.

Segmentation of scattered point data through a new curvature analysis algorithm

A systematic scheme is proposed to automatically extract geometric surface features from a point cloud composed of a set of unorganized three-dimensional coordinate points by data segmentation. The key technology is a algorithm that estimates the local surface curvature properties of scattered point data based on local base surface parameterization. Eight surface types from the signs of the Gaussian and mean curvatures provide an initial segmentation, which will be refined by an iterative region growing method. Experimental results show the scheme's performance on two point clouds.

The research on the highly efficient calculation method of 3-D frequency-domain Green function

The traditional calculation method of frequency-domain Green function mainly utilizes series or asymptotic expansion to carry out numerical approximation, however, this method requires very careful zoning, thus the computing process is complex with many cycles, which has greatly affected the computing efficiency. To improve the computing efficiency, this paper introduces Gaussian integral to the numerical calculation of the frequency-domain Green function and its partial derivatives. It then compares the calculation result with that in existing references. The comparison results demonstrate that, on the basis of its sufficient accuracy, the method has greatly simplified the computing process, reduced the zoning and improved the computing efficiency.

Gaussian mixture models for clustering and classifying traffic flow in real-time for traffic operation and management

Based on Gaussian mixture models（GMM）, speed, flow and occupancy are used together in the cluster analysis of traffic flow data. Compared with other clustering and sorting techniques, as a structural model, the GMM is suitable for various kinds of traffic flow parameters. Gap statistics and domain knowledge of traffic flow are used to determine a proper number of clusters. The expectation-maximization （E-M） algorithm is used to estimate parameters of the GMM model. The clustered traffic flow pattems are then analyzed statistically and utilized for designing maximum likelihood classifiers for grouping real-time traffic flow data when new observations become available. Clustering analysis and pattern recognition can also be used to cluster and classify dynamic traffic flow patterns for freeway on-ramp and off-ramp weaving sections as well as for other facilities or things involving the concept of level of service, such as airports, parking lots, intersections, interrupted-flow pedestrian facilities, etc.

Aperiodic stochastic resonance in Schmitt trigger

By the use of cross-correlation measures, the response of a symmetric Schmitt trigger (ST) driven by a random binary signal and white Gaussian noise is investigated. The results show that the information transmission can be enhanced when a certain amount of noise is presented, i.e., aperiodic stochastic resonance (ASR). Then, the influence of signal amplitude and the ST threshold on ASR is examined, the applicability of the ST in reducing the noise level of random signal transmission and improving the quality of output signal via ASR effect is illustrated. This research is of great interest in the field of digital communications.

基于DEM的地理坐标系下航空摄影技术设计

本文通过分析地形起伏对像片重叠度的影响,提出了在地理坐标系下基于DEM的航空摄影技术设计,研制了的航空摄影技术设计软件系统,将该系统设计的数据结果同实际飞行数据进行了对比,实验证明使用该软件系统敷设的航线像主点更科学、更合理。

Protein Conformational Change Based on a Two-dimensional Generalized Langevin Equation

A two-dimensional generalized Langevin equation is proposed to describe the protein conformational change, compatible to the electron transfer process governed by atomic packing density model. We assume a fractional Gaussian noise and a white noise through bond and through space coordinates respectively, and introduce the coupling effect coming from both fluctuations and equilibrium variances. The general expressions for autocorrelation functions of distance fluctuation and fluorescence lifetime variation are derived, based on which the exact conformational change dynamics can be evaluated with the aid of numerical Laplace inversion technique. We explicitly elaborate the short time and long time approximations. The relationship between the two-diraensional description and the one-dimensional theory is also discussed.

Modeling Seasonal Variations of Subsurface Chlorophyll Maximum in South China Sea

In the South China Sea(SCS), the subsurface chlorophyll maximum(SCM) is frequently observed while the mechanisms of SCM occurrence have not been well understood. In this study, a 1-D physical-biochemical coupled model was used to study the seasonal variations of vertical profiles of chlorophyll-a(Chl-a) in the SCS. Three parameters(i.e., SCM layer(SCML) depth, thickness, and intensity) were defined to characterize the vertical distribution of Chl-a in SCML and were obtained by fitting the vertical profile of Chl-a in the subsurface layer using a Gaussian function. The seasonal variations of SCMs are reproduced reasonably well compared to the observations. The annual averages of SCML depth, thickness, and intensity are 75 ± 10 m, 31 ± 6.7 m, and 0.37 ± 0.11 mg m-3, respectively. A thick, close to surface SCML together with a higher intensity occurs during the northeastern monsoon. Both the SCML thickness and intensity are sensitive to the changes of surface wind speed in winter and summer, but the surface wind speed exerts a minor influence on the SCML depth; for example, double strengthening of the southwestern monsoon in summer can lead to the thickening of SCML by 46%, the intensity decreasing by 30%, and the shoaling by 6%. This is because part of nutrients are pumped from the upper nutricline to the surface mixed layer by strong vertical mixing. Increasing initial nutrient concentrations by two times will increase the intensity of SCML by over 80% in winter and spring. The sensitivity analysis indicates that light attenuation is critical to the three parameters of SCM. Decreasing background light attenuation by 20% extends the euphotic zone, makes SCML deeper(~20%) and thicker(12% – 41%), and increases the intensity by over 16%. Overall, the depth of SCML is mainly controlled by light attenuation, and the SCML thickness and intensity are closely associated with wind and initial nitrate concentration in the SCS.

Dehazing algorithm using adaptive dark channel fusion and sky compensation

Aiming at the inaccurate transmission estimation problem of dark channel prior image dehazing algorithm in the sudden change area of depth of field and sky area,a dehazing algorithm using adaptive dark channel fusion and sky compensation is proposed.Firstly,according to the characteristics of minimum filtering of large window scale and small window scale in the dark channel prior,the fused dark channel is obtained by weighted fusion of the approximate depth of field relationship,thus obtaining the primary transmission.Secondly,use the down-sampling to optimize the primary transmission combined with gray scale image of haze image by fast joint bilateral filtering,then restore the original image size by up-sampling,and the compensation of the Gaussian function is used in the sky area to obtain corrected transmission.Finally,the improved atmospheric light is combined with atmospheric scattering model to recover haze-free image.Experimental results show that the algorithm can recover a large amount of detailed information of the image,obtain high visibility,and effectively eliminate the halo effect.At the same time,it has a better recovery effect on bright areas such as the sky area.

Fuzzy adaptive learning control network with sigmoid membership function

To get simpler operation in modified fuzzy adaptive learning control network （FALCON） in some engineering application, sigmoid nonlinear function is employed as a substitute of traditional Gaussian membership function. For making the modified FALCON learning more efficient and stable, a simulated annealing （SA） learning coefficient is introduced into learning algorithm. At first, the basic concepts and main advantages of FALCON were briefly reviewed. Subsequently, the topological structure and nodes operation were illustrated; the gradient-descent learning algorithm with SA learning coefficient was derived; and the distinctions between the archetype and the modification were analyzed. Eventually, the significance and worthiness of the modified FALCON were validated by its application to probability prediction of anode effect in aluminium electrolysis cells.

Audio-Visual Underdetermined Blind Source Separation Algorithm Based on Gaussian Potential Function

Most existing algorithms for the underdetermined blind source separation(UBSS) problem are two-stage algorithm, i.e., mixing parameters estimation and sources estimation. In the mixing parameters estimation, the previously proposed traditional clustering algorithms are sensitive to the initializations of the mixing parameters. To reduce the sensitiveness to the initialization, we propose a new algorithm for the UBSS problem based on anechoic speech mixtures by employing the visual information, i.e., the interaural time difference(ITD) and the interaural level difference(ILD), as the initializations of the mixing parameters. In our algorithm, the video signals are utilized to estimate the distances between microphones and sources, and then the estimations of the ITD and ILD can be obtained. With the sparsity assumption in the time-frequency domain, the Gaussian potential function algorithm is utilized to estimate the mixing parameters by using the ITDs and ILDs as the initializations of the mixing parameters. And the time-frequency masking is used to recover the sources by evaluating the various ITDs and ILDs. Experimental results demonstrate the competitive performance of the proposed algorithm compared with the baseline algorithms.