双线性变换

Based on the construction of reference ele ment and bilinear transformation, a quasi-Wilson element for arbitrary narrow q uadrilateral is presented.

基于参考元的构造和双线性变换，本文给出了一个任意窄四边形类Wilson元。

Analog circuits;Neural network;Fault diagnosis;Particle swarm optimization;Bilinear transformation;multidimensional spaces

模拟电路；神经网络；故障诊断；粒子群算法；双线性变换；多维变换

A series of Gaussian digital approximation filters used in roundness measurement were designed on the basis of approximation method and bilinear transformation.

文中用逼近法和双线性变换法，设计了用于圆度测量的高斯数字逼近滤波器，并给出了零相移的递归滤波算法，计算量小，计算效率高，易于实现。

A design method of switched-currentladder filters using the bilinear transformation is proposed.

开关电流梯形滤波器的双线性变换设计孟相如，邱关源（西安交通大学电气系，西安710049）本文提出了一种用双线性变换进行开关电流梯形滤波器设计的方法。

In view of the power of MATLAB,the design of methods used to achieve a window function,bilinear transformation, directly or cosine law FDAtool design and methods.

鉴于MATLAB的强大功能，本文分别用窗函数法、双线性变换法、升余弦直接设计法和FDAtool法等方法来实现基带成形滤波器。

Bilinear transformation was adopted to discrete the mathematic model of the whole simulation system. Considered that LabVIEW was a novel graphic computer language, the practical realization of mathematical model in LabVIEW was presented.

首先采用频率预曲折双线性变换法将控制系统的数学模型离散化；然后在LabVIEW中进行图形化编程，从而实现了基于虚拟仪器的汽轮机系统的仿真。

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。

Abstraction :This paper analyzes the principle of Butterworth digital filter,discuss bilinear transformation method of filter design;record a piece of voice by Microsoft voice recorders, carry on its a time-domain analysis, spectral analysis;then design a specified Butterworth band-stop filter based on the theory of bilinear transform,analyze the filter by the tool named Fvtool;and filter the voice signal acquired by voice recorder.finally compare its characteristics of frequency domain and time domain,study the applications of Butterworth filter in digital signal processing ,in particular in signal denoising.

本文分析了巴特沃思数字滤波器的原理，探讨了双线性变换法设计滤波器的方法；用微软录音机采集一段语音，对其进行了时域分析，频谱分析；然后使用双线性变换法设计了一个的巴特沃思带阻滤波器，并且使用fvtool对设计的滤波器进行分析；然后利用该滤波器对采集的语音信号进行滤波。最后对比滤波前后的语音信号的时域和频域特性，研究了巴特沃思滤波器在信号处理尤其是信号滤波去噪方面的特性和应用。

The 2-D bilinear transformation digital circuit from 1-D analog domain to 2-D discrete domain has been presented, which can ensure the exact realization of 1-D to 2-D bilinear transformation.

将此二维双线性变换数字电路用于2-D跳耦型数字滤波器的电路中，即可获得一种新的，稳定的二维数字滤波器实现。同二维波数字滤波器一样，2-D跳耦型数字滤波器亦以1-D无源LC双端接载梯型滤波器为导出原型。

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

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