Properties of ct Rational system functions a) However, if H(s)is rational, then The system is causal The roc of H(s) is to the right of the rightmost pole
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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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浙江科技大学：《信号与系统基础》课程教学课件（PPT讲稿）第5章 拉普拉斯变换与系统函数（4/4）《模拟电子线路》课程教学资源（各章题解）第6章 放大电路中的反馈曲阜师范大学：物联网工程专业《RFID开发技术与实践》课程教学大纲（物联网）曲阜师范大学：物联网工程专业《Linux操作系统》课程教学大纲山东农业大学：电工电子实验教学中心《信号与系统实验》课程教学大纲清华大学电子工程系：《模拟电子技术基础》课程教学资源（教案讲义）第二章 模拟集成电路的基本单元电路（2.9）互补输出级山东农业大学：电工电子实验教学中心《电路原理》课程教学大纲《电子电路基础》基木电路知识西安电子科技大学：《高等微波网络》课程教学课件（讲稿）11 对称网络和奇偶模法山东农业大学：电工电子实验教学中心《电子设计自动化实验》课程教学大纲西南交通大学：《电路分析》课程教学资源（课件讲稿）第三章 电路的基本分析方法（3.3）网孔电流法