F-G广义凸函数的若干性质

给出F-G广义凸函数、中间点F-G广义凸函数、F拟凸函数等概念,通过定义条件P1,P2,研究条件P1,P2所蕴含的等式关系,给出F-G广义凸函数的若干性质,并指出在一定条件下,f在K上是F-G广义凸函数的充分必要条件是f在K上既是中间点F-G广义凸函数也是F拟凸函数.     

关于Smarandache指数函数ep(n)与除数和函数σt(n)的混合均值

利用初等方法研究了ep(n)与除数和函数σt(n)的混合均值,得到了∑n≤xep(n)σt(n)的渐近公式.     

具有常数红利界限的带干扰Erlang(2)风险模型的Gerber-Shiu折扣罚金函数

利用Taylor展式导出具有常数红利界限的带干扰Erlallg(2)风险模型的Gerber-Shiu折扣罚金函数满足的积分-微分方程和其边界条件.     

PN code generator based on generalized bent function for SW/SFH system

Generalized Bent function and generalized Bent function sequences are introduced in this paper. The main performance of these sequences used as SW/SFH (Short Wave/Slow Frequency Hopping) code are studied. And the hardware circuit and the sofiware program flow chart of the SW/SFH PN code generator are also given, which is based on generalized Bent function sequence generator by using a single chip microcomputer. Supported by the National Naatural Science Foundation of China & National Deference Foundation of China Gan Liangcai: born in Dec. 1941, Professor     

Best weight pattern evaluation based security constrained power dispatch algorithm

This paper presents a methodology which determines the allocation of power demand among the committed generating units while minimizes number of objectives as well as meets physical and technological system constraints. The procedure considers two decoupled problems based upon the dependency of their goals on either active power or reactive power generation. Both the problems have been solved sequentially to achieve optimal allocation of active and reactive power generation while minimizes operating cost, gaseous pollutants emission objectives and active power transmission loss with consideration of system operating constraints along with generators prohibited operating zones and transmission line flow limits. The active and reactive power line flows are obtained with the help of generalized generation shift distribution factors （GGDF） and generalized Z-bus distribution factors （GZBDF）, respectively. First problem is solved in multi-objective framework in which the best weights assigned to objectives are determined while employing weighting method and in second problem, active power loss of the system is minimized subject to system constraints. The validity of the proposed method is demonstrated on 30-bus IEEE power system.     

基于小波分析的功能磁共振图像的去噪预处理

对基于小波分析的fMRI去噪作了较具体的论述，并在Donoho和Johnstone的Hard函数及Soft函数基础上提出了更合适的Hard—Soft函数．从结果分析看，Hard—Soft函数比Soft函数在保留图像细节上占优，而去噪性能比Hard函数要好．因而能够在图像去噪和保护信息上达到更好的均衡，克服了Hard函数和Soft函数的两个极端状况．     

改进萤火虫算法及其收敛性分析

萤火虫算法因具有结构简单、控制参数少、易于实现的特点而得到广泛的关注和应用,但其易陷入局部最优导致过早收敛,从而影响寻优精度。针对这一问题,本文在位置更新规则中加入随机扰动因子,并剔除了冗余的随机项,以提高算法搜索能力;引入位置置换变异和差分进化算法中的最优变异策略,在保持种群多样性的同时,增强算法跳出局部最优的能力。采用马尔可夫过程证明了算法以概率1收敛到全局最优。利用基准函数和装箱问题对算法进行仿真测试,结果表明,改进后的算法能够有效跳出局部最优,对给出的所有问题均能找到理论最优解,寻优精度和成功率有明显提升。     

基于功率谱分布函数几何学分析的信号带宽估计

针对现有信号带宽估计算法不利于工程实现或估计精度较低的问题,提出了一种基于功率谱分布函数几何学分析的估计方法。首先计算信号的平均功率谱及其分布函数,然后在分布函数图中利用几何学中的三角形思想粗估计信号带宽,最后利用直线斜率逼近的方法对估计结果进行了修正,实现了卫星通信信号带宽的有效估计。仿真结果表明,该方法在信噪比为0dB时,归一化均方根误差小于10-2,且该方法原理简单,易于工程实现。