K次方根序列的均值研究

利用初等方法和解析方法,进一步研究了k方根序列函数的性质,获得了k次方根系列的一个均值渐进公式。     

Interaction model of artificial fish in virtual environment

Conventional artificial fish has some shortages on the interaction with environment, other fish, and the animator. This article proposes a multi-tier interaction control model of artificial fish, realizes the interaction model through integration of virtual reality technology and Markov sequence, and provides a virtual marine world to describe the interaction between artificial fish and the virtual environment and the interaction between the artificial fish and the animator. Simulation results show that the interaction model owns not only the basic characteristics of virtual biology, but also has high trueness interaction function.     

Periodic performance of the chaotic spreadspectrum sequence on finite precision

It is well known that the periodic performance of spread spectrum sequence heavily affects the correlative and secure characteristics of communication systems. The chaotic binary sequence is paid more and more attention since it is one kind of applicable spread spectrum sequences. However, there are unavoidable short cyclic problems for chaotic binary sequences in finite precision. The chaotic binary sequence generating methods are studied first. Then the short cyclic behavior of the chaotic sequences is analyzed in detail, which are generated by quantification approaches with finite word-length. At the same time, a chaotic similar function is defined for presenting the cyclic characteristics of the sequences. Based on these efforts, an improved method with scrambling control for generating chaotic binary sequences is proposed. To quantitatively describe the improvement of periodic performance of the sequences, an orthogonal estimator is also defined. Some simulating results are provided. From the theoretical deduction and the experimental results, it is concluded that the proposed method can effectively increase the period and raise the complexity of the chaotic sequences to some extent.     

Simulated annealing algorithm for the optimal translation sequence of the jth agent in rough communication

In rough communication, because each agent has a different language and cannot provide precise communication to each other, the concept translated among multi-agents will loss some information and this results in a less or rougher concept. With different translation sequences, the problem of information loss is varied. To get the translation sequence, in which the jth agent taking part in rough communication gets maximum information, a simulated annealing algorithm is used. Analysis and simulation of this algorithm demonstrate its effectiveness.     

i-内射半模

该文给出了i-内射半模的概念及一些较好的特征刻划,并讨论了内射半模与i-内射半模的关系.主要有左R半模E是i-内射半模当且仅当反变函子HomR(-,E)真正合,并通过给出弱内射半模的定义得出左R-半模E是内射半模当且仅当E既是弱内射半模又是i-内射半模.     

新高维超混沌系统的设计及其图像加密应用

为增强信息的互联网传输安全和基于混沌系统的保密通信,通过一类渐近稳定的标称线性系统和一致有界控制器的设计,构造在多个控制位置生成具有最大个数正李氏指数的高维超混沌系统。同时,将该超混沌系统生成的多个伪随机序列进行预处理,选取部分伪随机序列对图像进行多轮置乱加密,并利用其余的伪随机序列对图像像素进行扩散加密,从而提高加密算法的加密效果和安全性能。通过数值仿真实验和安全分析,验证了多个伪随机序列组合的高维超混沌加密算法具有良好的保密性和安全性,并能抵御差分攻击、选择明文攻击和剪切攻击等。     

多颗小行星探测顺序确定及轨迹优化

小行星探测日渐成为深空探测领域的一个研究热点。考虑小行星Kepler轨道以及小推力航天器的特点,从能量和相位的角度推导出多颗小行星探测顺序的确定准则,并利用优化算法对航天器的飞行轨迹进行了全局优化设计。算法在满足约束条件的前提下,使得航天器剩余质量与飞行时间的比值达到最大,并通过数值仿真算例验证了算法的可行性。结果表明:该算法综合利用遗传算法和局部优化算法具有精度高、计算简单的特点,可用于小行星探测的轨迹优化设计问题。     

基于ITS序列研究当归属、前胡属间的关系与紫花前胡的分类地位

采用PCR直接测序的方法,测定了当归属(Angelica)、前胡属(Peucedanum)等2属23种的核糖体DNA ITS(不含5.8S)序列,并结合GenBank中2属6种的ITS序列,以羌活属的羌活(Notopterygium incisum)作为外类群,根据ITS序列,应用遗传距离值与系统发生树分析法对当归属、前胡属之间的亲缘关系及紫花前胡(Angelica decursiva/Peucedanum decursivum)的系统地位进行了研究.结果表明:(1)当归属与前胡属的亲缘关系很近; (2)结合形态学与化学等其它学科证据支持将紫花前胡归属到当归属.     

矩阵初等理论在Fibonacci数列研究中的应用

Fibonacci数列是递推关系中的一个典型问题,问题本身虽然是一种假想,然而它的结果却有诸多用途。文章在文献[1]的基础上,进一步地探讨了Fibonacci数列矩阵元素间的关系,证明了当r,m≥5时,矩阵D_(m×r)~4的秩为5。     

一种基于新训练序列的正交频分复用小区搜索方法

为了增加正交频分复用(OFDM)小区识别的数量,同时保持小区搜索的性能,设计了一种新的OFDM小区搜索方案.其核心思想是在载波上先加载称为"子载波模板"的伪随机序列,然后再加载频域差分序列.针对这种新的结构,该方案还设计了一种联合估计算法,可在性能保持不变的情况下,增加10~20倍识别小区的数量.