A time fractional model to represent rainfall process

This paper deals with a stochastic representation of the rainfall process. The analysis of a rainfall time series shows that cumulative representation of a rainfall time series can be modeled as a non-Gaussian random walk with a log-normal jump distribution and a time-waiting distribution following a tempered a-stable probability law. Based on the random walk model, a fractional Fokker-Planck equation （FFPE） with tempered a-stable waiting times was obtained. Through the comparison of observed data and simulated results from the random walk model and FFPE model with tempered a-stable waiting times, it can be concluded that the behavior of the rainfall process is globally reproduced, and the FFPE model with tempered a-stable waiting times is more efficient in reproducing the observed behavior.

基于FrFT-FH架构LPD通信波形设计与性能分析

针对Chirp基调制信号在分数阶傅里叶变换域特征明显,信号周期易被检测等问题,提出一种能够实现多域隐蔽的低检测概率(low probability of detection,LPD)波形构造方法。该方法采用分数阶傅里叶变换跳频(fractional Fourier transform-frequency hopping,FrFT-FH)架构,在不改变Chirp信号扩频增益的前提下,通过时宽分割和重组(time width division and reorganization,TDR),降低信号在分数阶傅里叶变换域和周期域的能量聚敛特性。仿真结果表明,相较于现有LPD波形只能实现单一特征域隐蔽的问题,所提波形在不影响系统通信性能的前提下,面对频域检测、分数阶傅里叶变换域检测、周期域检测多种检测手段,在10 dB信噪比条件下的信号检测概率均低于0.2,满足系统在不同特征域下的LPD需求。

用FOT概率模型提取循环平稳信号的周期成分

运用概率和度量空间等距同构的理论,对FOT概率模型进行了推导,然后将二阶FOT概率模型运用于循环平稳信号的周期成分提取中,并进行了改进.利用FOT概率的循环谱,实现周期成分提取,并将这种改进的周期成分提取操作运用于通信信号的载波频率和符号速率的提取中,实验结果表明,该方法能准确获取循环平稳信号的周期频率.

转移概率部分未知下Markov跳变系统的滑模控制

针对系统中含有两个相互独立的Markov链,且转移概率不完全已知的时滞不确定离散Markov跳变系统的滑模控制(SMC)问题,通过考虑参数不确定性的匹配条件,设计离散积分型滑模面.利用时滞分割技术构造含加权参数的Lyapunov-Krasovskii函数,得到系统随机稳定的充分条件,根据指数趋近律的到达条件设计滑模控制律,使得系统的状态轨迹能够到达所设计的滑模面.数值仿真结果表明,该方法具有一定的有效性.

Extremes of threshold-dependent Gaussian processes

In this paper,we are concerned with the asymptotic behavior,as u→∞,of P{sup_t∈|0,T|X_u(t)>u},where X_u(t),t∈|0,T|,u>0 is a family of centered Gaussian processes with continuous trajectories.A key application of our findings concerns P{sup_t∈|0,T|(X(t)+g(t))>u},as u→∞,for X a centered Gaussian process and g some measurable trend function.Further applications include the approximation of both the ruin time and the ruin probability of the Brownian motion risk model with constant force of interest.

单载波超宽带系统的时域分数级分集方法

单载波超宽带(SC-UWB)系统存在长时延密集多径,严重影响系统性能。传统信道均衡方法的均衡效果不够理想,而传统分集方法的硬件复杂度高且数据冗余量大。该文提出一种单载波频域均衡(SC-FDE)与时域分数级分集联合设计方法,以对抗超宽带(UWB)系统的复杂密集多径。该方法在发端为两个或多个信息支路配备一个分集支路;收端先进行SC-FDE,然后将信息支路和分集支路得到的均衡结果进行基于后验概率的分集合并或低复杂度的等增益分集合并,最终恢复出原始数据。该方法具有单天线、低冗余的特点,仅需1.5倍或更低倍数的分集,即可取得良好的分集增益。仿真结果表明:在误码率为10-3下,该方法与SC-FDE相比有3dB的分集增益。