复数域 meaning in English
complex domain
complex field
complex number field
field of complex numbers
Examples
- In this paper , we construct a class of indecomposable solvable lie algebras of dimension 5 with the simplest filiform nilradicals over complex field
摘要构造了复数域上维数为5的以最简线状李代数为幂零根基的不可分解可解李代数。 - The most important idea is that over the complex numbers , an elliptic curve looks like a torus , and the points of finite order in the group of the curve have a very simple geometric description
最重要的思想是复数域上的椭圆曲线是一个环面，曲线簇中的有限阶点有简单的几何描述。 - The necessary and sufficient conditions for the existence of the - inverse of matrices over the complex fields and its expression are proved with the help of the generalized singular value decomposition . the linear equations apx = b are studied by using the - inverse of matrix a
利用矩阵的广义奇异值分解，给出了复数域上矩阵-逆存在的充要条件，利用矩阵-逆研究了矩阵方程apx = b 。 - Considering the complex - value signals processing or parameter estimation , the dissertation study the complex - value least square method . the paper put forward complex recursive least square method either weighted data or using forgetting factor to avoid data saturation and increase the observed data reliability
考虑到信号处理中大量存在的复数域参数估计问题，研究了复数域最小二乘参数估计方法，提出了既加权又使用遗忘因子的复最小二乘估计递推算法。 - By studying the discrete fourier transform properties of the band - limited digital signal , the authors introduce alternating projection neural networks into the paper , expand apnn ' s application scope from real field to complex field , and present several important conclusions on apnn . analyzing and discussing network ' s tolerance to noise , convergence rate and the spectral leakage problem of the truncated signal expected to be extrapolated by using these conclusions , the paper presents an extrapolation algorithm for band - limited signals based on alternating projection neural networks . a lot of simulation experiments show that the algorithm is effective . in addition , the algorithm is also effective to spectrum extrapolation . owing to adopting network structure , the algorithm is prone to parallel computation and vlsi design , and consequently can satisfy real time military processing needs
本文通过对频带受限数字信号的离散傅立叶变换特性的研究，引进了交替投影神经网络，并将其应用范围从实数域拓广到复数域，且给出了在复数域仍然成立的若干结论.运用这些结论，在对网络噪声抑制、网络收敛速度及待外推信号因截断而造成频谱严重外泄问题的分析与讨论的基础上，提出了一种基于交替投影神经网络的外推算法.仿真实验表明该方法是行之有效的.另外，该算法对频谱外推同样适用；由于它采用全互连神经网络结构，易于并行计算和vlsi实现，从而可满足军事上实时处理的需要