Daubechies小波函数特征对MRTD算法的影响性分析

时域多分辨分析法（MRTD）是电磁场仿真计算的新方法,其核心是时频分析的小波函数问题。为提高MRTD方法的计算效率和精度,如何选择Daubechies(db)小波函数的消失矩和紧支度成为MRTD算法应用中有待解决的问题。首先给出了一种在介质基底有损耗的情况下计算微带线间串扰的三维MRTD数学模型。其次研究db小波尺度函数的紧支度、消失矩特性对于MRTD算法的计算精度和效率的影响问题。最后通过对比基于 db1~db4 四种小波基的MRTD算法对PCB电路板微带线间串扰的仿真结果,得到在相同精度下,基于db2小波函数的MRTD算法计算效率最高,在db小波簇中是最优的结论。
     

A novel sparse feature extraction method based on sparse signal via dual-channel self-adaptive TQWT

Sparse signal is a kind of sparse matrices which can carry fault information and simplify the signal at the same time. This can effectively reduce the cost of signal storage, improve the efficiency of data transmission, and ultimately save the cost of equipment fault diagnosis in the aviation field. At present, the existing sparse decomposition methods generally extract sparse fault characteristics signals based on orthogonal basis atoms, which limits the adaptability of sparse decomposition. In this paper, a self-adaptive atom is extracted by the improved dual-channel tunable Q-factor wavelet transform (TQWT) method to construct a self-adaptive complete dictionary. Finally, the sparse signal is obtained by the orthogonal matching pursuit (OMP) algorithm. The atoms obtained by this method are more flexible, and are no longer constrained to an orthogonal basis to reflect the oscillation characteristics of signals. Therefore, the sparse signal can better extract the fault characteristics. The simulation and experimental results show that the self-adaptive dictionary with the atom extracted from the dual-channel TQWT has a stronger decomposition freedom and signal matching ability than orthogonal basis dictionaries, such as discrete cosine transform (DCT), discrete Hartley transform (DHT) and discrete wavelet transform (DWT). In addition, the sparse signal extracted by the self-adaptive complete dictionary can reflect the time-domain characteristics of the vibration signals, and can more accurately extract the bearing fault feature frequency.     

固体火箭横向响应载荷识别方法

利用小波分析在时频两域都具有表征信号局部特征的特点,对固体火 箭飞行遥测过载数据进行了小波分解,然后从结构动力学理论出发提出了一种识别固体火箭 截面剪力和弯矩的方法。结合某型固体火箭的遥测参数对火箭主要截面弯矩和剪力进行了 识别,给出了识别结果。该方法对自由-自由飞行的固体火箭截面横向载荷的评估及设计 具有重要的参考意义。
     

基于小波神经网络航空发动机滑油系统故障诊断方法研究

研究了基于小波神经网络的非线性系统的故障检测和诊断方法.把小波分析与前馈神经网络相融合,并推导出其具体的算法.应用小波神经网络对航空发动机滑油系统进行故障诊断.试验和仿真的结果表明:小波网络应用于故障诊断时具有收敛速度快,对网络输入不敏感等特点,为非线性系统的故障诊断提供了新的理论和方法.     

浅论科学计算与信息

为适应市场经济、特别是信息产业的飞速发展,教育部设立了“信息与计算科学”本科专业,这使得数学学科迎来了新的生长机遇。本文从科学计算角度,介绍科学计算的历史、发展、特点及方法,并对科学计算与信息的关系进行初步的讨论。     

基于小波变换的雷达测量数据的随机误差分析

小波变换是各领域科学研究必备的有力工具。本文介绍了小波变换的理论知识,具体讨论它在雷达测量数据随机误差分析中的应用,包括小波变换去噪的原理和过程,使用改进MAD方法计算随机误差方差。仿真结果表明,小波变换简单有效,在实践中具有应用价值。     

外测数据处理中小波滤波的应用研究

针对外测数据的高精度和噪声复杂的特性,首先介绍了小波分析中几种滤波方法及其变形,然后结合空域滤波器建立外测数据的小波去噪模型,将它们应用于一维的高精度弹道数据去噪。实际结果表明,该类方法在保留特征段及有用信息的同时,有效地去除了随机噪声及其他干扰,比较传统去噪方法有明显优势。     

最优频移小波包变换窄带干扰抑制方法研究

针对频移小波包变换不能抑制多音干扰的问题,提出了基于遗传算法最优频移小波包变换的窄带干扰抑制方法。采用遗传算法进行频移和分解层数的最优选择,并采用奇偶判断的方法进行自适应小波包分解。仿真结果表明,该方法能够有效抑制窄带干扰。     

Investigation of the characteristics of wavelike oscillations of post-sunset equatorial ionospheric irregularity by decomposing fluctuating TEC

Post-sunset ionospheric irregularities are common features of the equatorial ionosphere that affect radio communication and navigation systems; their triggering physical mechanism is not yet fully understood. Atmospheric gravity wave is considered as a seeding mechanism for the occurrence of ionospheric irregularities (Abdu et al., 2009). To understand the effects of atmospheric waves, characteristics of wavelike oscillation from ionospheric total electron content (TEC) fluctuation that can be obtained from superposition of different oscillation modes have been investigated. Decomposing fluctuating TEC into different oscillation modes and investigating oscillation characteristics of each component is also important to get insight about the characteristics of individual atmospheric waves that may cause TEC fluctuation. In this paper we have investigated characteristics of components of fluctuating TEC obtained from SCINDA GPS receiver installed at Bahir Dar, (geographic coordinate, 11.5°N, 37.6° E, and dip latitude of 2.5°N) Ethiopia during April 2012. First Empirical Mode Decomposition (EMD) has been applied to decompose TEC fluctuation into different oscillation modes that are known as Intrinsic Mode Function (IMF). Hilbert-Huang Transform (HHT) and Continuous Wavelet Transform (CWT) have been applied to investigate the characteristics of wave-like oscillations. Applying EMD on fluctuating vTEC corresponding to a GPS satellite, five components are found. Results from HHT and CWT have shown excellent agreement. In addition, it is found out that the median periods of oscillation of those five components are 9, 17, 47, 78, and 118 min. Of these periods, 17 and 47 min respectively are oscillation periods of components of TEC fluctuation with occurrence frequency of 92% and 91% that may be interpreted as the manifestation of two frequently occurring components of atmospheric gravity waves that are likely generated by the motion of solar terminator.     

基于多重集典型相关分析的图像融合方法

提出了多重集典型相关分析在图像融合中应用.多重集典型相关分析能够最大化多组图像之间的互信息量,从而提升融合后图像的信息量.在对图像进行小波分解后,多重集典型相关分析应用于低频系数的融合.实验表明,该方法能够同时获取多组图像融合所需的权重参数,并使得融合后图像信息量得到提升.