Motivation for the Laplace transform CT Fourier transform enables us to do a lot of things, e. g Analyze frequency response of lTi systems Sampling Modulation Why do we need yet another transform? One view of Laplace Transform is as an extension of the Fourier
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1.aM with an Arbitrary Periodic Carrier 2. Pulse Train Carrier and Time-Division Multiplexing 3. Sinusoidal Frequency modulation 4. DT Sinusoidal am 5. DT Sampling, Decimation,d Interpolation
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then, assuming we choose wM
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More efficient to transmit e&m signals at higher frequencies Transmitting multiple signals through the same medium using different carriers Transmitting through\channels, with limited passbands
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SAMPLING We live in a continuous-time world most of the signals we encounter are CT signals, e.g. x(). How do we convert them into Dt signals x[n? Sampling, taking snap shots of x(t) every Seconds
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Result: Linear phase e simply a rigid shift in time, no distortion Nonlinear phase e distortion as well as shift DT
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1. DTFT Properties and Examples 2. Duality in fs& ft 3. Magnitude/Phase of Transforms and Frequency Responses
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Convergence Issues Synthesis equation: None. since integrating over a finite interval Analysis Equation: Need conditions analogous to CTFT, e. g
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Fourier series: Periodic signals and lti Systems ()=∑H(k k= ak一→H(ko)ak “g Soak-→|H(jkco)lkl H(7k)=1H(k0e∠B(ko) or powers of signals get modified through filter/system ncludes both amplitude phase akeJhwon
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Convolution Property 0(t)=h(t)*(t)←→Y(j)=H(ju)X( where h(t)←→H(ju) A consequence of the eigenfunction property
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《机械测试技术基础》课程教学资源(作业习题)电子测试技术习题及答案五邑大学信息学院:《电路分析基础 Circuit Analysis》第2课 基尔霍夫定律(龙佳乐)四川工商学院:《单片机原理及应用》课程教学课件(PPT讲稿)第1讲 单片机导论西安电子科技大学:《通信原理》课程教学资源(讲义)第四十三讲 二进制数字调制系统的性能比较大连理工大学城市学院:《电路与电子技术》课程教学资源(PPT课件)07 第七章 负反馈放大器山东理工大学:《数据采集与处理》课程教学课件(PPT讲稿)第2章 模拟信号的数字化处理《电工电子学》课程教学资源(PPT课件讲稿)第十章 组合逻辑电路可编程逻辑器件(课件讲稿)Modern Programmable logic Device《通信原理实验》课程电子教案(PPT讲稿)嵌入式系统设计实验——第7章 μC/OS-II简介、移植规划、移植μC/OS-II、移植代码应用到LPC2000《电路》课程教学资源(PPT课件讲稿)第七章 二阶电路海南大学:《通信原理》课程电子教案(PPT教学课件)第9章 差错控制编码










