查询词典 bilinear

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

Based on the process models and the desired closed-loop system responses, the analytical expressions of the tuning parameters of the primary and secondary controllers were proposed by means of first order Páde approximation, and then the digital PID controllers were obtained by using bilinear transformation method.

基于过程模型和期望闭环系统响应整定PID参数，采用一阶Páde近似纯迟延环节，以解析的形式推导出了主控制器和副控制器整定参数的表达式，并采用双线性变换法得到离散时间PID控制器。

Chapter 3 introduces some methods seeking exact solutions for the nonlinear evolution equation, such as inverse scattering method, symmetry reduction method, Backlund transformation, Darboux transformation , Hirota bilinear method, Painleve analysis method, AC = BD model, and so on.

第三章简要介绍了非线性发展方程的若干求解方法，如反散射方法，对称与微分方程约化，Backlund变换和Darboux变换方法，Hirota双线性方法，Painleve奇性分析法，AC=BD框架下的精确求解等。

There are many noise sources in measuring the seismometer transfer function, the main noise sources are investigated. The method of cross-special analysis is presented, flow process diagram of computing is given, the algorithms are discussed in detail, such as low-pass digital filter, computing of seismometer transfer function initial values, time domain convolution, bilinear transformation, estimation of power spectrum and cross-spectrum, window functions and preprocessing of measuring data etc.

在地震计传递函数测试过程中的存在多中噪声，本文分析了主要的噪声来源；介绍了用互谱分析方法测试地震计频率特性的基本原理和方法；给出采用该方法确定地震计传递函数的算法流程图；并对计算过程中采用的低通滤波器、地震计传递函数的初值确定方法、卷积运算方法、自谱和互谱估计、采用的窗函数和测试数据的预处理进行了详细讨论。

This conclusion can also be proved by spectrum-warping audio watermarking algorithm in MCLT domain. To discuss further deeply on why spectrum-warping technique does not have the required robustness, the studies are carried out upon the essentials of bilinear transformation. All the theoretical analysis and experiments results put the robustness of the spectrum-warping audio watermarking under questioning.

四、提出了基于量化的变换域音频水印算法中关于量化参数的选择方法量化变换系数的音频水印算法是以修改谱分量幅值为基础，算法的主要问题是如何选择量化参数以确保算法的鲁棒性和不可感知性，另外量化系数的区域选择也会影响算法的性能。

We proposed the simplest structure of 2-D bilinear transformation digital circuit, we proposed four approaches of the realizations:(1) Realization of 2-D discrete domain difference equations;(2) 2-D FFT realization;(3) Digital hardware implementation;(4) by 2-D recursive digital structure to realize them.

在第七章，我们则重点研究了二维数字滤波器的实现问题。我们对第六章提出的2-D双线性变换电路又作了进一步的简化，获得了一种最简结构的二维双线性变换数字电路，该电路仅有二个延时器和一个乘法器。在第七章里，我们提出了二维跳耦型数字滤波器的四种实现方法：(1)二维时域差分方程实现；(2)二维FFT实现；(3)数字硬件实现，(4)用2-D递归数字结构实现。

The design of digital notch filters can be achieved through three steps:firstly,the design of analog lowpass filter; secondly,it is analog lowpass to analog band stop filter conversion;at last,using the bilinear transformation make the analog notch filters change into digital notch filters.

研究一种在Matlab语言环境下设计IIR数字陷波滤波器的方法，在数字陷波滤波器设计过程中，先进行模拟低通滤波器的设计，然后进行模拟低通/模拟带阻滤波器转换，最后采用双线性变化法将模拟陷波滤波器转化成数字陷波滤波器。

Toady's DVD-ROM manufactures still use the bilinear transformation to design servo controller in w-plane. In the special purpose servo chip for the DVD-ROM, because of the effect of the structure of the controller and the limits of the chip, the result of the controllers may not be implemented in the chip after designing, and redesigning is regained again and again.

目前产业界设计DVD-ROM伺服控制器仍采用双线性转换，经转换后在w平面上设计控制器，但由於受到专用控制晶片的控制器结构与限制的影响，在设计后可能无法直接套用至晶片上使用，而需反覆设计。

along with the development of digital technology,digital filters are widely used in many fields,this paper introduces how to design a iir digital notch filters in matlab environment.the design of digital notch filters can be achieved through three steps:firstly,the design of analog lowpass filter; secondly,it is analog lowpass to analog band stop filter conversion;at last,using the bilinear transformation make the analog notch filters change into digital notch filters.the paper also introduces how to design the transfer function of the digital notch filters using all the zeros and farthest points at the same time,it also introduces the program of the digital notch filters under butterworth analog lowpass prototype.

摘 要：随着数字技术的发展，数字滤波器在许多领域得到广泛的应用。研究一种在matlab语言环境下设计iir数字陷波滤波器的方法，在数字陷波滤波器设计过程中，先进行模拟低通滤波器的设计，然后进行模拟低通/模拟带阻滤波器转换，最后采用双线性变化法将模拟陷波滤波器转化成数字陷波滤波器。提出一种用所有零点和极点来表达数字陷波器传递函数的方法，同时给出以巴特沃斯模拟低通为原型设计数字陷波滤波器的程序。关键词：无限冲激响应；巴特沃斯滤波器；数字陷波滤波器；matlab；双线性变换

Cklund transfo- rmation、Inverse scattering method、Darboux transformation、Hirota bilinear method、similarity reduction eta.

cklund变换法、反演散射方法、达布变换法、Hirota双线性方法、相似约化法等。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新