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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。

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

They also will establish a Credit Card Bill of Rights to stop credit card companies from exploiting consumers with unfair practices.

他们也将设立一个信用卡权利法案，以阻止信用卡公司利用消费者的不公平做法。

This is a popular ad that you might see on a billboard or stuck on a bus stop sign.

这是个很流行的广告，也许在广告牌上或贴在站牌上看到的。

"On that occasion the owner of the billiard room suggested the cloth of the snooker table would soon be scratched and damaged if I didn't stop playing."

应家柏笑言："那时，台球室的业主对我说，如果我不停止打球，台球桌上的布就会烂掉。"

I've had to stop binge drinking and eating after 10 o'clock at night.

我必需停止酗酒和在晚上10点后吃夜宵的生活习惯。

Stop'.'' these things, says bioethicist Daniel Callahan of the Hastings ''.

动的生物论理学家丹尼尔·卡拉翰说：我不知道你如何能制止这些事。

"I don't see how you can stop these things," says bioethicist Daniel Callahan of the Hastings Center in Briarciif Manor, New York.

位于纽约布里阿克利夫大厦海斯汀斯中。动的生物论理学家丹尼尔·卡拉翰说：我不知道你如何能制止这些事。

The January 2009 e-Pedigree deadline set by California may have been pushed back two years, but that didn't stop Biogen Idec from forging ahead with a solution.

在2009年1月电子谱系设定的最后期限加州可能已经推后两年，但并没有停止Biogen Idec公司从开拓一个解决办法。

With internationally latest studies, the paper also proposes some biquadrate filters which are capable to perform the functions of second-order low pass、 high pass、 band pass、 band stop、 all pass filtering by selecting one of the three inputs or their proper combinations from the same configuration, furthermore whose natural frequency and the quality factor can be tuned independently. Then a continuous-time biquadratic filter using CCCII is proposed, which can be used in hearing aids and in other analog signal processing applications. Lastly a current mode and a voltage mode novel n-order filters of multifunction are presented. Not all both of the n-order filters are electronic tunable,but also they are integrated conveniently and compatible with VLSI technology.

尽量的全面归纳以电流控制传送器为有源器件的有源网络模拟电路、模拟信号处理电路，借鉴国内外最新研究成果，提出两种基于CCCⅡ的双二阶滤波器，这些电路在不需要改变电路结构的情况下，能同时实现低通、高通、带通、带阻或全通多种滤波功能，并且滤波器的特征频率ω_0和品质因数Q可实现独立调节；其中一种基于CCCⅡ的双二阶滤波器，首次提出将CCCⅡ应用于可编程助听器领域；最后设计了两种高阶滤波器，电压模式和电流模式各一种，这两种滤波电路均能实现多种滤波功能，能实现滤波器参数的电调谐，具有易于集成等优点。

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。