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切比雪夫函数

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We divide this interval into several subintervals, based on deviation points, find the best uniform approximation polynomial of each subinterval, and then denormalize the computation result to the final result.

论文摘要:根据切比雪夫定理,提出了一种适于FPGA实现的函数逼近新方法:通过区间映射关系,将函数定义域映射到较小的逼近区间内,并按照交错点对逼近区间进行分段,分别求出每段的最佳一致逼近多项式,对函数进行分段逼近,最后将逼近结果反映射,得到最终的函数计算结果。

Generalized Chebyshev function filter with transmission zeros in any-where has the advantage of high .

可以任意引入传输零点的广义切比雪夫函数滤波器,具有矩形系数高、带宽窄、功率容量大等优良性能,是目前国内外研究的热点。

This paper introduced the design procedures in details,using Matlab to realize and optimize the simulation third order low-pass Chebyshev filter to obtain the function.

本文详细介绍了滤波器的设计方法,通过用Matlab来实现和优化一个模拟三阶低通切比雪夫滤波器,从而获得所需滤波器的传递函数,为进一步电路设计和实现提供了一条有效的方法。

The traditional method of design is given by the design requirements of the selected approximation method, the manual calculation of the order of N filter or check the design of the corresponding chart (for example, Chebyshev design chart) determine the order of N; search function transfer table ( Butterworth transfer function, such as tables, Chebyshev transfer function table) to determine the transfer function.

传统的设计方法是由给定的设计要求选用相应的逼近方法,手动计算滤波器的阶数N或查相应的设计图表确定阶数N;查转移函数表(如巴特沃思转移函数表,切比雪夫转移函数表)来确定转移函数。

Through above study, the theoretical analysis of the inherent fault tolerance of feed-forward neural networks has been extended from hard-limit activation functions to differentiable activation functions; 2. By using above method, fault tolerance of discrete Hopfield feedback neural networks have been also analyzed. It means that the above method can be applied not only for feed-forward neural networks but also for feedback neural networks; 3. For the feed-forward neural network with the Sigmoid activation function, Chebyshev Inequality method was presented.

这项研究将以前仅限于对硬限幅作用函数前向神经网络固有容错性能的理论分析推广到具有可微作用函数的前向神经网络; 2 针对离散型Hopfield反馈神经网络,利用上面提出的方法,对其同样进行了容错性分析,得出许多有用的结论和计算公式,说明上面提出的方法不仅适用于前向神经网络,同时也适用于反馈神经网络; 3 针对具有Sigmoid作用函数的前向神经网络提出了一种切比雪夫不等式法。

In the single and double integral terms of Green function, the kernel function of wave-making resistance expression, Special function expansion method and Chebyshev polynomial approach method have been adopted respectively, which greatly increase the calculation speed.

对作为兴波阻力计算核函数的Green函数的单、双积分项分别采用特殊函数展开、切比雪夫多项式逼近的方法进行计算,提高了计算速度。

This paper presents a method of synthesizi ng non-equiripple low-pass filter based on iteration analysis,in which the rat ional fraction formed of Chebyshev polynomial is used as the filter characterist ic function.

提出一种用切比雪夫多项式构成有理分式作为滤波器的特征函数,并利用迭代分析进行非等波纹低通滤波器综合的方法。

When to get the coefficients of polynomial directly,the ill-conditioned matrix may be produced and effect the precision of result.Using orthogonal polynomial can avoid this problem.This paper introduces 4 orthogonal polynomial.In our discussion,it is proposed to use Chebyshev polynomial and Legendre polynomial,they are easier to sa...

讨论4种常用正交多项式在拟合卫星轨道与时间函数时的适用性;通过计算实例说明利用切比雪夫多项式和勒让德多项式做数据拟合时具有很高的精度;分析得出评定多项式拟合数据精度的适用阶数,实际应用中可降低工作量,提高计算效率;最后讨论同一多项式阶数下不同历元数对拟合结果的影响。

And each from of frequency respond to the curve are compared.

完全设计方法中我们利用函数直接设计出低通、高通、带通和带阻滤波器,并分别用巴特沃斯滤波器、切比雪夫滤波器、椭圆滤波器来实现,并比较了各自的频率响应曲线。

Based on polynomial interpolation and approximation theory,a Chebyshev orthogonal basis neural network is constructed in this paper.

根据多项式插值和逼近理论构造一个切比雪夫正交基神经网络,其模型采用三层结构并以一组切比雪夫正交多项式函数作为隐层神经元的激励函数。

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