Mean field calculation of effective permeability based on fractal pore space

Effective permeability for porous rocks is calculated using mean field theory. We make two simplifying assumptions about the internal conductances in a network representation of the porous rock: (i) Pore space is characterized by a uniform fractal scaling; (ii) the internal conductances depend only on the characteristic pore sizes. Within these approximations, it is possible to derive a simple probability density for the internal conductances which is used for calculating effective permeability. Good agreement between calculations and experimental data of permeability vs. porosity is achieved.     

Effects of Multi Global Bifurcations on Basin Organization,Catastrophes and Final Outcomes in a Driven Nonlinear Oscillator at the 2T-Subharmonic Resonance

The behavior of the escape driven oscillator at the 2T-periodic subharmonic resonance is considered, and the mechanism of generating different fractal patterns of the basins of attraction of coexisting attractors, as well as its effects on the unpredictable asymptotic system behaviors, are the main points of interest. The analysis is based on the numerical study of the sudden qualitative changes of the structure of basin-phase portraits, the changes implied by multi global bifurcations. Attention is focused on two qualitatively different regions of control space: the region prior to the subcritical flip bifurcation, where all three attractors (2T-periodic, T-periodic and the attractor at infinity) coexist, and the region after the bifurcation, where only two attractors (2T-periodic and the attractor at infinity) coexist. In particular, the concept of the global (homoclinic and heteroclinic) bifurcations is extended to the latter region, where the arising flip saddle (instead of the direct saddle) is involved in the events. The possible forms of unpredictable outcomes, which arise in both regions of control parameters, are pointed out.     

GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION

The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. Applying the uniform a priori estimates method, the existence of global attractor of this problem was proved, and also the dimensions of the global attractor was estimated.     

多重分形降趋波动分析法和移动平均法的分形谱算法对比分析

多重分形降趋波动分析法(MFDFA)和多重分形降趋移动平均法(MFDMA)是用来估算一维随机分形信号多重分形谱的两种算法, 已被拓展应用于二维和高维分形信号的分析. 本文简要介绍了MFDFA和MFDMA算法及其在一维时间序列中的应用. 首次系统地从算法模型、计算统计精度、样本量的敏感性、无标度区选取的敏感性、矩选择的敏感性和计算量这六个方面对两种算法进行了对比分析, 以典型多重分形信号BMC信号为例, 分析两种算法的适用性和优劣性. 为实际应用中, 针对具体信号如何选用MFDFA或MFDMA算法, 以及两种算法的参数设置提供了有价值的参考.     

利用信号围线积分双谱分形特征实现电台识别

信号的双谱能反映信号的细微特征,可用于电台识别中,但将它直接应用于电台识别需要计算复杂的匹配模板,增加分类器的复杂度,影响识别效率。针对此问题,提出了一种将信号围线积分双谱的分形特征作为电台特征参数的识别方法。首先由信号双谱估计值求出围线积分双谱,然后利用盒维数和信息维数定量描述围线积分双谱波形的复杂度,并将这两种分形维数作为特征向量,最后利用支持向量机(SVM)实现电台分类识别。对两部实际电台所发射的2FSK信号利用所提方法进行分析,结果表明在信噪比为7 dB及以上时,电台正确识别率能达到94.29%以上,验证了所提方法的可行性。     

一种基于比例因子的分形图像编码方法

比例因子是分形图像编码算法中的一个重要变量。给出了一种计算比例因子的方法,根据最小均方误差值的大小来选择比例因子的计算方法,通过对基本算法中比例因子的计算方法进行简化来达到加快分形编码的目的。与基本分形编码算法相比,在峰值信噪比下降约0．03dB的情况下,编码时闻节约了45％。     

Novel Fractal DGS Based on MEMS and Its Application in Miniaturization of Microstrip Antenna Array

An uncommon fractal construction method is applied in the microwave element design. A novel fractal defected ground structure (DGS) based on micro electro-mechanical system (MEMS) is proposed. The size of this novel fractal DGS can achieve 86% size reduction compared with the conventional dumbbell type DGS. This novel fractal DGS is used in the miniaturization design of L-band microstrip antenna array. The simulation result shows that this novel fractal DGS can effectively reduce the mutual coupling between the antenna elements, so it is helpful to the miniaturization of microstrip array, namely the approximately same gain value can be achieved with the shorter distance between elements.     

Steganalysis Using Fractal Block Codes and AP Clustering in Grayscale Images

This paper presents a universal scheme (also called blind scheme) based on fractal compression and affinity propagation (AP) clustering to distinguish stego-images from cover grayscale images, which is a very challenging problem in steganalysis. Since fractal codes represent the self-similarity features of natural images, we adopt the statistical moment of fractal codes as the image features. We first build an image set to store the statistical features of natural images with and without hidden messages, and then apply the AP clustering technique to group this set. The experimental result shows that the proposed scheme performs better than Fridrich's traditional method.     

基于分形盒维数的双门限合作频谱感知方法

在信号分形盒维数特征的基础上,提出利用噪声与授权信号分形盒维数的差异对授权用户是否存在进行检测.为了使合作感知性能趋于更优,多用户采用双门限策略进行分步合作.该方法运算复杂度低,对噪声不敏感.仿真结果表明,双门限合作相比单门限分形盒维数检测和能量检测,系统检测率更高,所需频谱感知时长较短,同时减轻了融合控制中心以及传输...     

一种新型大频差多频段分形天线研究

提出一种新型大频差多频段分形天线,天线结构为在蝶形天线两臂上加载多个经优化后的开口矩形环缝。新型天线不仅可获得超过4.5∶1的大频差,而且能同时工作于4个频段。仿真和实测结果表明,新型天线4个频段都具有良好的性能。新型结构的提出丰富了分形天线的种类,为实现高性能的多频段大频差天线提供了一种可行结构。