分数函数

A new method of calculating the angle parameter in FRFT domain based on the eigenfunction of time-varying channel is proposed in this letter for FRFT-OFDM systems.

摘要针对FRFT-OFDM(分数阶傅里叶域的正交多载波)系统，该文提出了一种基于信道时变传输函数的FRFT域角度参数的估计算法。

In view of the coefficients of CDF9/7 wavelet filter are irrational number, we use the trigonometric function transform to factorize the perfect restruction and the biorthogonal conditions of biorthogonal wavelets filter banks, then optimize the coefficients of the original 9/7 wavelet filter banks, consequently a novel 9/7 wavelet filter banks with binary digit coefficients can be obtained.

2针对CDF9／7小波系数为无理数的缺点，对CDF9／7小波滤波器组的完全重构条件和双正交条件进行三角基函数变换和因式分解，并对求出的小波滤波器系数进行优化设计，得到一组滤波器系数都为二进制分数的9／7双正交小波滤波器组，大大降低了离散小波变换的算法复杂度。

The second kind of parabolic differential equation,multi-dimensional fractional equation,is generalized from the seepage flow.

遗憾的是，大多数分数阶微分方程的解析解都含有复杂的级数或者特殊函数，不利于进行近似计算。

This technique is based on the auto-correlation function of fractional Gauss noise.

该方法基于分数高斯噪声的自相关函数。

The state-space representation and the transfer function representation of fractional order linear time-invariant systems are introduced.

介绍了分数阶线性定常系统的状态方程描述和传递函数描述。

Application of fractional power polynomial kernel function to kernel direct discriminant analysis.

分数次幂多项式核函数在核直接判别式分析中的应用

Fractional fourier transform ; hermite function ; time frequency analysis

分数阶傅立叶变换； Hermite函数；时频分析

The proposed approach extends the basic theory of FBM to the discrete case and investigates characteristics of auto-correlation function based on fractional Gauss noise.

提出了一种基于分数高斯噪声增量及其自相关函数的分形维数估计的新方法。

The results show that the stock market returns and volatilities in China have long memory and persistence although they are not as strong as that of American stock market; The memory of Shanghai stock is stronger than that of Shenzhen stock; The autocorrelation function of a fractional integration model can fit the sample autocorrelation much well.

结果表明：中国股市收益率与波动性具有长记忆性，尽管收益率的长记忆性不如美国股市强；上海股市的记忆性明显强于深圳股市；分数可积模型较指数衰减自相关函数能更好地拟合样本的自相关系数

Considering that the modular function of fractional Fourier transform of LFM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LFM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。