Stochastic Resonance in a Simple Threshold Sensor System with Alpha Stable Noise

We investigate the effect of alpha stable noise on stochastic resonance in a single-threshold sensor system by analytic deduction and stochastic simulation. It is shown that stochastic resonance occurs in the threshold system in alpha stable noise environment, but the resonant effect becomes weakened as the alpha stable index decreases or the skewness parameter of alpha stable distribution increases. In particular, for Cauchy noise a nonlinear relation among the optimal noise deviation parameter, the signal amplitude and the threshold is analytically obtained and illustrated by using the extreme value condition for the output signal-to-noise ratio. The results presented in this communication should have application in signal detection and image restoration in the non-Gaussian noisy environment.     

翘嘴红鲌群体遗传多样性分析

基于RAPD方法对江西(鄱阳湖)、湖北(梁子湖)和江苏(太湖)3个群体的翘嘴红鲌遗传多样性进行分析,以评价它们的群体遗传结构和良种选育的可行性。结果显示从30个随机引物中筛选出了20个多态性较高的引物,既可扩增出3个群体共同的DNA条带,也可扩增出单个群体特有的特征条带。从3个群体实验鱼中共检测到119个扩增片段,长度在0.2~1.7kb之间。鄱阳湖群体多态位点数61个,多态位点比为51.26%,梁子湖群体多态位点数50个,多态位点比为42.02%,太湖群体多态位点数67个,多态位点比为56.30%。3个群体的Shannon多样性指数分别为0.429 2,0.382 8和0.443 1。群体间遗传相似系数依次为:最高是鄱阳湖与梁子湖,为0.8055,其次是鄱阳湖与太湖,为0.801 6,最低是梁子湖与太湖,为0.785 2。结果提示,鄱阳湖与梁子湖亲源关系较近,与太湖稍远;所筛选出的引物应用RAPD技术可以方便地分析不同群体翘嘴红鲌的遗传多样性,并可为良种选育的亲本选择提供依据。     

面向情感语音转换的韵律转换方法

面向情感语音转换,该文提出了一种韵律转换方法。该方法包含基频转换和时长转换两个部分,前者选择离散余弦变换(DCT)参数化基频,根据基频的层次结构特点,将基频分解为短语层和音节层两个层次,使用基于混合高斯模型(GMM)的转换方法对两个层次分别进行转换;后者使用基于分类回归树(CART)的方法以声韵母为基本单位对时长进行转换。一个包含三种基本情感的语料库用作训练和测试,客观评测以及主观评测实验结果显示该方法可有效进行情感韵律转换,其中悲伤情感在主观实验中达到了接近100%的正确率。      

考虑均衡性的不确定时间车辆调度问题研究

本文针对车辆调度实际运行过程中时间的不确定性问题,提出了包含时间窗口、车辆容量约束的配送服务线路随机规划模型,以最小化调用的车辆数目和运行距离,降低顾客的不满意度并且尽可能保证每条路线的均衡性。结合模型,给出了基于禁忌搜索的混合启发式算法,并且生成多个算例,依据算例结果说明模型和算法优越性,同时说明可以在不降低顾客满意度和不提高总运输成本的基础上,降低各条线路之间的时间差异。     

基于郭仲衡先生现代张量分析及有限变形理论知识体系的相关研究

作为我国理性力学先驱之一的郭仲衡先生在其所著《张量(理论和应用)》以及《非线性弹性理论》中记述了现代张量分析以及有限变形理论知识体系.本文按有限维Euclid空间上微积分以及一般赋范线性空间上微分学认识相关知识体系的理论框架,相关思想及方法,阐述了有关思想及方法的发展及其应用.本文未涉及现代几何学在连续介质力学中的应用.     

三值噪声调制下电路中的随机共振现象

研究了在三值噪声和热噪声扰动下的RLC电路的平均输出幅度增益. 利用随机平均法和Shapiro-Loginov公式, 得到了平均输出幅度增益的精确表达式. 通过计算机模拟, 画出了平均输出幅度增益与平坦系数、有噪声和无噪声时, 输出信号振幅与输入信号频率之间的关系曲线. 从结果来看, 系统产生了双值噪声驱动的RLC电路中(文献[11])没有的随机共振现象, 甚至还出现了双共振峰.     

多频信号的自适应随机共振检测方法

针对系统输入端待测信号为低频与中高频情形,分别建立了多频信号的自适应随机共振检测方法,即通过分析待测输入信号的频率特性和信号并行输入个数,对于低频信号,固定步长,自动调节系统参数;对于中高频信号,利用外加周期信号的频率,选取合适的测量指标来衡量随机共振现象的发生,并且寻求最优系统参数,在随机共振输出信号频域中提取待测信号的频率.与传统的自适应随机共振信号检测方法相比,采用色噪声,更符合实际背景,更精确地提取待测信号的频率.仿真结果与分析的一致,表明方法有效可行,有良好的应用前景.     

Effects of non-Gaussian noise on a calcium oscillation system

We investigate the effects of the non-Gaussian colored noise on a calcium oscillation system using stochastic simulation methods. It is found that the reciprocal coefficient of variance R has a maximum (R max ) with increasing noise intensity Q. The non-Gaussian noise parameter q has an important effect on the system. For some values of q (e.g., q = 0.9, q = 1.0), R has a maximum with increasing correlation time τ. Non-Gaussian noise induced spikes are more regular than Gaussian noise induced spikes when q is small and Q has large values. The R has a maximum with increasing q. Therefore, non-Gaussian noise could play more effective roles in the calcium oscillation system.     

Average consensus of multi-agent systems with communication time delays and noisy links

In this paper,we consider the average-consensus problem with communication time delays and noisy links.We analyze two different cases of coupling topologies:fixed and switching topologies.By utilizing the stability theory of the stochastic differential equations,we analytically show that the average consensus could be achieved almost surely with the perturbation of noise and the communication time delays even if the time delay is time-varying.The theoretical results show that multi-agent systems can tolerate relatively large time delays if the noise is weak,and they can tolerate relatively strong noise if the time delays are low.The simulation results show that systems with strong noise intensities yield slow convergence.     

随机需求下基于供应中断的备份供应商决策分析

假定需求服从随机分布,研究由零售商主导的供应链中,采用一个战略供应商和一个备份供应商模式,零售商与备份供应商通过能力期权建立订货契约:首先,零售商向备份供应商预订能力,支付预订成本;接着,向战略供应商订货,如果没有发生突发事件则其供货量等于订货量,否则供货量变为零;然后,零售商基于战略供应商的供货量和备份供应商的能力预订确定向备份供应商的订货量,支付执行成本;最后,零售商用战略供应商和备份供应商的总供货量满足顾客需求。备份供应商在考虑自己的能力维持成本和制造成本后决定是否接受零售商提供的能力期权契约。针对零售商可选择的四种不同策略,求得采取不用策略所满足的条件,并给出相应的最优订货量、能力预订量和能力执行量和最优利润等的解析解。