[信息与通信]测控技术与仪器英语教程 Lesson 2 Aperiodic Signal.ppt
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1、Lesson 2 Aperiodic Signal,Backgrounds Text tour Language in use Vocabulary Structure Reading/writing techniques,2019/1/30,1,测控技术与仪器英语教程,Backgrounds,Terminology Fourier series 傅立叶级数 The real part 实部 The imaginary part 虚部 Amplitude 振幅 Spectrum 频谱 The unit step function 单位阶越函数 The exponentially decayin
2、g 指数衰减阶跃函数 Lasplace transform 拉普拉斯变换 Pole 极点 Zero 零点 Argand diagram 阿根图,2019/1/30,2,测控技术与仪器英语教程,Text tour,Outline 2.1 Introduction 2.2 The Exponential Form of the Fourier Series 2.3 The Fourier Transform 2.4 The Laplace Transform,2019/1/30,3,测控技术与仪器英语教程,2.1 Introduction,The introduction of Aperiodic
3、 signal,2019/1/30,4,测控技术与仪器英语教程,2.2 The Exponential Form of the Fourier Series,The Exponential Form of the Fourier Series = analysis,2019/1/30,5,测控技术与仪器英语教程,2.3 The Fourier Transform,2.3.1 Derivation 2.3.2 Examples of Continuous Spectra 2.3.3 Symmetry of the Fourier Integral Equations 2.3.4 Limitati
4、ons of the Fourier Transform,2019/1/30,6,测控技术与仪器英语教程,2.3.1 Derivation,the exponential form of the Fourier series () = () =,2019/1/30,7,测控技术与仪器英语教程,2.3.1 Derivation,the exponential form of the Fourier series function,2019/1/30,8,测控技术与仪器英语教程,2.3.2 Examples of Continuous Spectra,the spectrum of the iso
5、lated pulse waveform Figure 2.1 (a) A Signal isolated Pulse and (b) its Frequency Spectrum,2019/1/30,9,测控技术与仪器英语教程,2.3.2 Examples of Continuous Spectra,The spectrum of this pulse waveform illustrates a number of important points about time-limited signals. Figure 2.2 (a) Two isolated pulse, one of l
6、ong and the other of short duration, and (b) their corresponding spectra. Only a small part of the () spectrum of the short pulse is shown,2019/1/30,10,测控技术与仪器英语教程,2.3.2 Examples of Continuous Spectra,evaluate the spectrum of the exponentially decaying sinusoidal waveform =,2019/1/30,11,测控技术与仪器英语教程,
7、2.3.2 Examples of Continuous Spectra,evaluate the spectrum of the exponentially decaying sinusoidal waveform,2019/1/30,12,测控技术与仪器英语教程,2.3.3 Symmetry of the Fourier Integral Equations,The description of Symmetry of the Fourier integral equations =,2019/1/30,13,测控技术与仪器英语教程,2.3.3 Symmetry of the Fourie
8、r Integral Equations,The description of Symmetry of the Fourier integral equations Figure2.4 Symmetry between time and frequency domains. (a)just as a retangular pulse waveform has a (sinx/x) spectrum, so (b)a time function of (sinx/x)from has a rectangular spectrum, with energy equally distributed
9、in the range,2019/1/30,14,测控技术与仪器英语教程,2.3.4 Limitations of the Fourier Transform,Limitations of the Fourier transform Example = =,2019/1/30,15,测控技术与仪器英语教程,2.3.4 Limitations of the Fourier Transform,2019/1/30,16,测控技术与仪器英语教程,2.3.4 Limitations of the Fourier Transform,Singularity convergence factor,201
10、9/1/30,17,测控技术与仪器英语教程,2.4 The Laplace Transform,2.4.1 Relationship with the Fourier Transform 2.4.2 Use of the Laplace Transform 2.4.3 The Pole-zero Description of a Signal,2019/1/30,18,测控技术与仪器英语教程,2.4.1 Relationship with the Fourier Transform,The Laplace and Fourier transform are closely related,20
11、19/1/30,19,测控技术与仪器英语教程,2.4.2 Use of the Laplace Transform,Example ) the decaying exponential waveform ) the sinusoidal wave,2019/1/30,20,测控技术与仪器英语教程,2.4.2 Use of the Laplace Transform,the decaying exponential waveform and the sinusoidal wave,2019/1/30,21,测控技术与仪器英语教程,2.4.2 Use of the Laplace Transfor
12、m,the magnitude and phase of the decaying exponential wave (putting , ) Figure 2.7 Magnitude function and (b) phase function of the spectrum of the waveform of figure 2.6(a),2019/1/30,22,测控技术与仪器英语教程,2.4.2 Use of the Laplace Transform,the inverse transform is defined as Solution: ) table of transform
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