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Considering some period of time geomagnetic data recorded at the Observatory Surlari (colatitude 45.3°, longitude 26.3°) and comparing them with data recorded at other observatories, such as Ottawa (colatitude 44.6°, longitude 284.5°), Canberra (colatitude 125.3°, longitude 149.3°), Kakioka (colatitude 53.8°, longitude 140.2°) and Vernadsky (colatitude 155.3°, longitude 295.7°), including comparison to the windowed Fourier transform, the choice of an appropriate wavelet basis function, edge effects due to finite-length time series, and the relationship between wavelet scale and Fourier frequency.

我们分析了Surlari观测台(余纬45.3°,经度26.3°)的地磁时间序列,并与Ottawa(余纬44.6°,〖JP2〗经度284.5°),Canberra(余纬125.3°,经度149.3°), Kakioka(余纬53.8°,经度140.2°),Vernadsky〖JP〗(余纬155.3°,经度295.7°)等台站的结果进行了对比分析,讨论了Fourier变换时间窗和小波基函数选取的影响,有限长时间序列引起的边缘效应,以及小波尺度和Fourier频率的关系等问题。

Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统;精确解;近似解;孤立波; Riccati方程方法;图灵机;可计算函数

MVFK8vP7Ge+Uu0 Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统;精确解;近似解;孤立波; Riccati方程方法;图灵机;可计算函数

First,the planar waveguide models for Rotman lens and its feed lines which incorporate the dispersion effect with frequencies are set up.Then the aperture electric fields at lens ports are expanded by appropriate waveguide mode functions and substituted into the contour integral equation.The multimode scattering matrix of the lens can be acquired by solving the contour integral equation by using Galerkin method.

首先建立了考虑色散效应的透镜的等效平板波导模型,然后选择适当的波导模式函数展开透镜端口上的场,并利用Galerkin法求解其边缘上电场满足的轮廓积分方程即可得到透镜的多模式散射参数。

The traditional OFDM technology adopting complex exponential sub carrier wave base on Fourier transform, which is makeup by many orthogonal cosine function group.

这是因为基于小波的信号分析是一种时频分析,因此,采用合适的正交小波基取代传统的余弦函数基,就可以同时在频域和时域上对信号进行综合考虑。

Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

从立方抛物线的特性谈起,用较初浅的方法,借助于雅可比椭圆函数求椭圆方程的解,说明一类非线性波方程可用行波法求解析解。

We use wavelet neural network to construct the nonlinear cointegration function, and give the DFP algorithm for network training.

提出了利用小波神经网络逼近非线性协整函数的方法,并给出了训练小波神经网络的变尺度算法。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下,得到了该方程的孤立波解和三角函数表示的周期波解

An optimal filter is designed specially for dq transform used in the voltage mea-surement of transfer switch,which is composed of lower-order notch filter and lower-order low pass filter with higher cut-off frequency in series.Its transfer function is presented by theoretical derivation.If the order is same,it is better in measuring the positive sequence of fundamental amplitude than the average filter and the low-pass filter.

针对转换开关电压检测法——dq变换设计了优化滤波器,该滤波器是利用低阶陷波滤波器和较高截止频率低阶低通滤波器串联形成的,通过理论推导给出了该滤波器的传递函数,在相同的滤波阶数下,该优化数字滤波器在提取基波正序幅值的性能比较中,优于平均值滤波法及低通数字滤波器法等。

The function relation of pulse group velocity with frequency and rain rate is obtained.

分析了脉冲波展宽效应机理,得到脉冲波群速度与电波频率、降雨率的函数关系。

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