静态球对称时空中的标量场辐射

采用多项式函数代替乌龟坐标的方法,给出静态球对称时空中黑洞事件视界和宇宙视界区域内标量场方程的解,并对事件视界附近势垒的性质进行了讨论。发现对带电量不同的时空,标量场辐射的形式亦有所不同;势垒随宇宙学常数的减小而变窄、变高。     

基于椭圆曲线密码体系的多基联合稀疏表示算法

椭圆曲线已经广泛应用于密码学领域中的公钥密码系统,数字签名验证等。在椭圆曲线密码系统中,标量乘法占据着十分重要的地位。目前已经有一些算法来加快这些十分关键的计算,它们均基于整数的不同表示,以尽量减少一般乘法或点加法的数目。在椭圆曲线现有的各种计算方法中,联合稀疏表式(JSF),w-NAF,双基方法是目前常用并且有效的算法。基于多基整数表示系统,提出一种联合多基稀疏表示方法。多基联合稀疏表示需要较少的位数,并且比JSF和w-NAF更加稀疏,(2,3,5)基表示与(2,3)基表示相比,可以使椭圆曲线标量乘法的运算提高约16%的效益。     

一种基于加法链的快速标量乘算法

给出一种标量的串长加法链算法来提高椭圆曲线标量乘法的效率。新的标量乘算法结合底层域直接计算2Q+P、2^nR+S算法,使用大小窗口法将串长算法和滑动窗口算法结合,加法链长度、存储空间和预计算都减少,其效率比二元法提高53%,比NAF法提高47.5%,比串长算法提高46.2%,比Windows法提高42.2%。     

改进的Koblitz曲线上数字签名算法

标量乘法的效率决定着椭圆曲线密码体制的性能,而JSF算法是当前最流行的计算椭圆曲线双标量乘的算法;Koblitz曲线上的快速标量乘算法是标量乘法研究的重要课题。Lee[12]算法采用Frobenius映射扩展正整数k并将其扩展后的系数改写成二进制形式有效地提高标量乘算法效率。将JSF应用到扩展后的系数中,以较小存储空间为代价来提高算法效率,并将算法运用到改进的ECDSA算法中,减少乘法运算次数,加速签名及验证过程,节约数字签名时间。     

First-order side channel attacks on Zhang’s countermeasures

Zhang’s three countermeasures are known to be secure against certain first-order side channel attacks such as differential power analysis and correlation power analysis. This security comes from the countermeasures’ use of random points to blind the message and random integers to blind the secret scalar. In this paper, we propose first-order side channel attack methods that can perfectly break these three countermeasures. Even though Zhang’s countermeasures use random points and random integers our attacks are made possible by the fact that intermediate values computed by these countermeasures are dependent on specific values that we can guess. The experimental results verify that the proposed attack methods can successfully break existing countermeasures.     

Fuzzy functions with LSE

“Fuzzy Functions” are proposed to be determined by the least squares estimation (LSE) technique for the development of fuzzy system models. These functions, “Fuzzy Functions with LSE” are proposed as alternate representation and reasoning schemas to the fuzzy rule base approaches. These “Fuzzy Functions” can be more easily obtained and implemented by those who are not familiar with an in-depth knowledge of fuzzy theory. Working knowledge of a fuzzy clustering algorithm such as FCM or its variations would be sufficient to obtain membership values of input vectors. The membership values together with scalar input variables are then used by the LSE technique to determine “Fuzzy Functions” for each cluster identified by FCM. These functions are different from “Fuzzy Rule Base” approaches as well as “Fuzzy Regression” approaches. Various transformations of the membership values are included as new variables in addition to original selected scalar input variables; and at times, a logistic transformation of non-scalar original selected input variables may also be included as a new variable. A comparison of “Fuzzy Functions-LSE” with Ordinary Least Squares Estimation (OLSE)” approach show that “Fuzzy Function-LSE” provide better results in the order of 10% or better with respect to RMSE measure for both training and test cases of data sets.     

一种新型的量化方法与基于小波变换的指纹图像压缩

针对矢量量化和标量量化各有优劣的现状，一种简单，有效的新型量佛方法被提出来了。本文把应用于基于小波变换的指纹压缩，改进了ＥＢＩ的ＷＳＱ算法，大大降低了量化计算复杂度。即获得较高的压缩比，又有较好的主客观质量，并与ＪＰＥＧ标准进行了对比。     

椭圆曲线标量乘的快速实现

提出一种计算固定基点标量乘的快速实现算法，该算法的计算速度明显快于Fixed-base Windowing算法；且当预计算量小于255时，计算速度稍快于Fixed-base Comb算法。而且，该算法可以灵活地改变计算时间和占用内存的大小来适应不同的应用环境。     

Fuzzy logic speed controller optimization approach for induction motor drive using backtracking search algorithm

This paper presents an adaptive fuzzy logic controller (FLC) design technique for controlling an induction motor speed drive using backtracking search algorithm (BSA). This technique avoids the exhaustive traditional trial-and-error procedure for obtaining membership functions (MFs). The generated adaptive MFs are implemented in speed controller design for input and output based on the evaluation results of the fitness function formulated by the BSA. In this paper, the mean absolute error (MAE) of the rotor speed response for three phase induction motor (TIM) is used as a fitness function. An optimal BSA-based FLC (BSAF) fitness function is also employed to tune and minimize the MAE to improve the performance of the TIM in terms of changes in speed and torque. Moreover, the measurement of the real TIM parameters via three practical tests is used for simulation the TIM. Results obtained from the BSAF are compared with those obtained through gravitational search algorithm (GSA) and particle swarm optimization (PSO) to validate the developed controller. Design procedure and accuracy of the develop FLC are illustrated and investigated via simulation tests for TIM in a MATLAB/Simulink environment. Results show that the BSAF controller is better than the GSA and PSO controllers in all tested cases in terms of damping capability, and transient response under different mechanical loads and speeds.     

三角形和三角形相交测试技术研究

高效率的“三角形和三角形相交测试”对于提高碰撞检测算法效率,增强虚拟场景的真实感和沉浸感起着至关重要的作用。该文深入研究了“三角形和三角形相交测试”的基本原理和典型算法,根据算法思想提出两个概念：标量判别法和矢量判别法,并对两种算法进行验证,对仿真计算结果进行分析、比较得出：矢量判别算法是对标量判别算法的改进和优化,条件相同时检测效率提高约7％,算法更加简单快捷,具有较高的理论意义和实际工程应用价值。