It proves that the improved lifting coefficient can add to the vanishing moment of the wavelet function in a constructed way, and the adding means to a more centralized energy property.
文章构造性的证明了改进提升系数能增加小波函数的消失矩，而消失矩的增加意味着能获得更好的能量集中特性。
Waveform matching is included in the matching between the signal and wavelet function. Compared with the energy matching, it has its own characters and is used in some specific domains.
波形匹配是信号与小波函数匹配的一种，它与能量匹配各有特点，其适用范围各不相同。
Studies the function of wavelet transform (WT) that can effectively distill the transient characteristics of digital signals to estimate the symbol rate of PSK signals.
研究基于小波变换有效提取信号瞬变特性的功能，对数字调制移相键控(PSK)信号进行符号速率估计。
Based on zero crossing representation of wavelet transform of this radial function and matching procedure, a new algorithm to identify orbits of shaft centerline is proposed.
基于此函数的小波变换零交叉表示和匹配过程，得到了识别轴心轨迹的一种新方法。
Aimed at the ultrasonic signal polluted by noises, which is low in SNR, a method of the ultrasonic signal denoising in wavelet domain based on an improved threshold function was put forward.
针对超声无损检测中超声信号受噪声污染、信噪比不高的情况，提出了一种新的基于改进阈值函数的小波域超声信号去噪方法。
The modulate Gauss function is selected as the analysis wavelet to deal with the fault signal saltation caused by the damage concussion, according to the (characteristics) of fault vibration signals.
根据走行部故障振动信号的特点，选用调制高斯函数作为分析小波，处理由损伤冲击造成的信号突变。
This paper describes the composition of bridge health monitoring system and function as well as the basics of wavelet analysis theory.
本文首先介绍了桥梁健康监测系统的组成与功能以及小波分析理论的基础知识。
It introduces the method of wavelet transformation applied in the acoustic wave signal processing and how to use this method to implement the function of filtering the waves.
讨论了在声波信号处理中所使用的小波变换方法，以及用这种方法所实现的滤波功能。
And then addressing SAR image speckle denoising, this dissertation proposed a new method based on bivariate shrinkage function combined with enhancement of wavelet significant coefficients.
其次针对SAR图像相干斑抑制问题，提出一种双变量收缩函数与小波系数显著性增强相结合的SAR图像的斑点抑制算法。
Wavelet decomposition technology has powerful removing noise function, and the preoperative methods based on the wavelet technology is applied for the monitoring data.
从小波分解技术的强大的去噪功能出发，提出了基于小波技术的监测数据前处理方法。
Through construct tight branch collection of orthogonal wavelet base, we find that tight branch collection of orthogonal base wavelet function resembles real seismic wave.
构造紧支集小波正交基时发现：紧支集正交小波基函数与地震波极为相似，比较适合地震资料处理。
The practical problems in the fault detection and fault location using the wavelet transform, such as the wavelet basis function, the initial data, the velocity of traveling wave are studied.
针对小波变换在故障检测与测距中应用的实际问题如小波基函数、小波变换初始数据、行波波速的选取等进行了研究。
By the family of wavelet basis function of wavelet Composition, it can describe the signal time (space) and frequency (scale) domain of the local characteristics.
小波由一族小波基函数构成，它可以描述信号时间(空间)和频率(尺度)域的局部特性。
A quadratic lubricity wavelet as wavelet function was defined to do the two dimensional dyadic wavelet transform on fruit infrared image, and to get local modulus maxima from the results.
以二次光滑小波作为小波函数，对水果红外图像进行二维二进小波变换，计算了小波变换结果的局部模极大值点，从而得到了水果红外图像的轮廓。
Based on the constructive theory of orthogonal binary wavelet transform, a parameter expression equation of binary wavelet and adaptive goal function put forward.
基于二进正交小波构造原理，构造了正交小波基参数表达方程及降噪效果的自适应目标函数，应用遗传优化方法求出最佳小波基。
According to the peculiarity that the scale exhibit progressional variety, this paper deduces a group of multiscale wavelet filter from two dimensions smooth function.
论文基于这一思想，从二维平滑函数出发，并根据尺度呈级数变化的特点，导出了一组多尺度小波滤波器。
The ground motion time function is a kind of time serial signals, which is a highly varying and nonstationary randow procedure and fit for wavelet analysis.
地震动是由于地震引起的地面运动，其时间历程函数表现为具有突变特征的非平稳随机过程，因此更适于利用小波变换进行频谱分析。
Adaptive wavelet neural network intelligent detection is a method in which the wavelet function substitutes for the activation function of hidden layer in the neural network.
自适应小波神经网络检测法就是利用小波函数取代通常神经网络中隐层的作用函数来实现的。
This paper discuss the effects of the wavelet function and the decomposed level on remote fused image deeply. The research provides basis for choosing wavelet function and the decomposed level.
详细地探讨了小波基函数、小波分解层数的选取对遥感图像融合结果的影响，为小波基函数和分解层数的选择提供了依据。
This fuzzy neural network USES wavelet basis function as membership function whose shape can be adjusted on line so that the networks have better learning and adaptive ability.
这种模糊神经网络利用了小波基函数作为隶属函数，可在线根据误差调整隶属函数的形状，使模糊神经网络具有更强的学习和适应能力。
Basing on the construction of wavelet, discuss the close relation between the scaling function and wavelet function's two scale symbol and wavelet construction.
立足于小波的构造，比较深入地探讨了尺度函数和小波函数的两尺度符号与小波构造的紧密关系。
Firstly, using the first order derivative of Gaussian function as the base wavelet, the direction Angle function of a planar curve was analyzed on multiple scales to obtain the candidates of corners.
使用高斯函数的一阶导数作为基本小波，对曲线的方向角函数进行多尺度小波分析得到候选点集，提出了四个筛选规则对候选点集进行逐步筛选得到正确角点集。
The differential coefficient of smooth function was taken as a mother wavelet for researching the sensitivity segment of inflexion of pipeline leakage signal.
以光滑函数的一阶导数作为小波母函数 ，研究了管道泄漏特征信号拐点区间的敏感性 ，突出小波变换系数的局部极值性。
A reconstruction algorithm by cubic spline function interpolation, which is used to recover a signal from its dyadic wavelet transform extrema is proposed in this paper.
本文提出了用样条插值重构算法来实现由信号二进小波变换极值点重构原始信号。
Because the wavelet has time-frequency local property, the wavelet method can analyze the local regularity of function more effectively than frequency domain.
由于小波具有时频局部性，因此与频域方法相比，小波方法更能有效地分析函数的局部正则性。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
Firstly, the best wavelet basis selection was conducted via message entropy function; then the gas load was decomposed to low frequency signal and high frequency signal by two times through it.
首先用信息熵函数最小选择最优小波基，然后用其对燃气负荷进行二层分解得到负荷的低频信号和高频信号。
Firstly, the best wavelet basis selection was conducted via message entropy function; then the gas load was decomposed to low frequency signal and high frequency signal by two times through it.
首先用信息熵函数最小选择最优小波基，然后用其对燃气负荷进行二层分解得到负荷的低频信号和高频信号。
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