信号与系统(双语)课程教学大纲

《信号与系统（双语）》课程教学大纲》1本课程的性质及适用专业本课程是一门专业基础课程，适用于通信工程专业。CourseAimsandObjectives:ThiscourseiscentraltothestudiesincommunicationEngineering.本课程的教学目标通过本课程的学习，使学生初步认识如何建立信号与系统的数学模型，如何经适当的数学分析求解,并对所得的结果给出物理解释和赋予物理意义。学生应能掌握信号分析与线性系统的基本理论及分析方法，应能建立简单电路与系统的数学模型，并对数学模型求解。CourseFocus:Studentswilllearnhowcontinuousanddiscretetimesignalsaremodifiedbysystemsdescribedinthefrequencyandtimedomains.Thiscoursewillprovidestudentswithanunderstandingofsignalsandsystems.Thematerialislearnedviaperformanee,ratherthancompetitionwithclassmates.对先修课程的要求建议先修高等教学、复变函数与积分变换、电路理论等课程。SuggestlearningAdvancedMathematicsandCircuitsPrinciplefirst.本课程教学内容及基本要求ClassSyllabus信号与系统概述连续时间与离散时间系统；基本系统性质。基本要求：掌握连续时间与离散时间信号，自变量的变换，指数信号与正弦信号，单位冲激与单位阶跃函数；熟悉连续时间与离散时间系统，基本系统性质。SignalsandSystemsContinuous-TimeandDiscrete-TimeSignals;TransformationsoftheIndependentVariable;ExponentialandSinusoidalSignals;TheUnitImpulseandUnitStepFunctions;Continuous-TimeandDiscrete-TimeSystems;BasicSystemProperties.Mastery:Continuous timeanddiscrete-timesignals,TransformationsoftheIndependentVariable,ExponentialandSinusoidalSignals,TheUnitImpulseandUnitStepFunctions.Understand:Continuous-TimeandDiscrete-TimeSystems,BasicSystemProperties.线性时不变系统教学内容：卷积和与卷积积分；线性时不变系统性质；用微分和差分方程描述的因果线性时不变系统;奇异函数。基本要求：掌握卷积和与卷积积分计算与性质，线性时不变系统性质，奇异函数及其性质；熟悉用微分和差分方程描述的因果线性时不变系统。LinearTime-InvariantSystemsDiscrete-TimeLTISystems:TheConvolutionSum;Continuous-TimeLTISystems:TheConvolutionIntegral;PropertiesofLinearTime-lnvariantSystems;CausalLTISystemsDescribedbyDifferentialandDifferenceEquations;SingularityFunctions.Mastery:Discrete-TimeLTISystems:TheConvolutionSum,Continuous-TimeLTISystems,TheConvolutionIntegral,PropertiesofLinearTime-InvariantSystems,SingularityFunctionsandifsProperties.Understand:CausalLTISystemsDescribedbyDifferentialandDiffereneeEquations.周期信号的傅立叶级数表示教学内容：傅立叶级数的历史回顾；线性时不变系统对复指数信号的响应；连续时间周期信号的傅立叶级数表示；傅立叶级数的收敛；连续吋间傅立叶级数性质；离散时间周期信号的傅立叶级数表示；离散时间傅立叶级数性质；傅立叶级数与线性时不变系统；滤波；用微分方程描述的连续时间滤波器举例；用差分方程描述的连续时间滤波器举例。基本要求：掌握线性时不变系统对复指数信号的响应，连续时间周期信号的傅立叶级数表示，周期信号表示为傅立叶级数的方法及性质，离散时间周期信号的傅立叶级数表示，离散时间傅立叶级数性质；熟悉傅立叶级数的收敛，滤波的概念和用微分方程描述的连续时间滤波器以及用差分方程描述的连续时间滤波器；了解傅立叶级数的历史。FourierSeriesRepresentationofPeriodicSignalsAHistoricalPerspective;TheResponseofLTISystemstoComplexExponentials;FourierSeriesRepresentationofContinuous-TimePeriodicSignals;ConvergenceoftheFourierSeries;PropertiesofContinuous-TimeFourierSeries;FourierSeriesRepresentationofDiscrete-TimePeriodicSignals;PropertiesofDiscrete-TimeFourierSeries;FourierSeriesandLTISystems;Filtering;ExamplesofContinuous-TimeFiltersDescribedbyDifferentialEquations;ExamplesofDiscrete-TimeFiltersDescribedbyDiffereneeEquations.Mastery:TheResponseofLTISystemstoComplexExponentials,FourierSeriesRepresentationofContinuous-TimePeriodicSignals,PropertiesofContinuous-TimeFourierSeries,FourierSeriesRepresentationofDiscrete-TimePeriodicSignals,PropertiesofDiscrete-TimeFourierSeries,FourierSeriesandLTISystems.Understand:.ConvergenceoftheFourierSeries,Filtering,Continuous-TimeFiltersDescribedbyDifferentialEquations,Discrete-TimeFiltersDescribedbyDifferenceEquations.Knowabout:AHistoricalPerspectiveofFourierseries.连续信号的傅立叶变换教学内容：连续时间傅立叶变换；周期信号傅立叶变换；连续时间傅立叶变换性质；卷积性质；相乘性质；由线性常系数微分方程表征的系统。基本要求：掌握连续时间傅立叶变换，周期信号傅立叶变换，连续时间傅立叶变换性质，线性常系数微分方程表征的系统；熟悉卷积性质和相乘性质。TheContinuous-TimeFourierTransformRepresentationofAperiodicSignals:TheContinuous-TimeFourierTransform;TheFourierTransformforPeriodicSignals;PropertiesoftheContinuous-TimeFourierTransform;TheConvolutionProperty;TheMultiplicationProperty;TablesofFourierPropertiesandofBasicFourierTransformParis;SystemsCharacterizedbyLinearConstant-CoefficientDifferentialEquations.Mastery:TheContinuous-TimeFourierTransform,TheFourierTransformforPeriodicSignals,PropertiesoftheContinuous-TimeFourierTransform,TheConvolutionProperty,SystemsCharacterizedbyLinearConstant-CoefficientDifferentialEquations.Understand:TheConvolutionPropertyandtheMultiplicationProperty.离散信号的傅立叶变换教学内容：离散吋间傅立叶变换；周期信号傅立叶变换；离散时间傅立叶变换性质；卷积性质；相乘性质；对偶性；由线性常系数差分方程表征的系统。基本要求：掌握离散时间傅立叶变换，周期信号傅立叶变换，离散时间傅立叶变换性质，线性常系数差分方程表征的系统；熟悉卷积性质和相乘性质以及对偶性质。TheDiscrete-TimeFourierTransformRepresentationofAperiodicSignals:TheDiscrete-TimeFourierTransform;TheFourierTransformforPeriodicSignals;PropertiesoftheDiscrete-TimeFourierTransform;TheConvolutionProperty;TheMultiplicationProperty;TablesofFourierTransformPropertiesandofBasicFourierTransformParis;Duality;SystemsCharacterizedbyLinearConstant-CoefficientDifferenceEquations.Mastery:TheDiscrete-TimeFourierTransform,TheFourierTransformforPeriodicSignals,PropertiesoftheDiscrete-TimeFourierTransform,TheConvolutionProperty,SystemsCharacterizedbyLinearConstant-CoefficientDifferenceEquations.Understand:TheConvolutionProperty,theMultiplicationPropertyandDuality.采样教学内容：采样定理；利用内插由样本重建信号；混叠现象；连续时间信号的离散时间处理；离散时间信号采样。基本要求：掌握采样定理，熟悉利用内插由样本重建信号，混叠现象，离散时间信号采样；了解连续吋间信号的离散时间处理。SamplingRepresentationofContinuous-TimeSignalbyItsSamples:TheSamplingTheorem;ReconstructionofaSignalfromItsSamplesUsingInterpolation;TheEffectofUndersampling:Aliasing;Discrete-TimeProcessingofContinuous-TimeSignals;SamplingofDiscrete-TimeSignals.Mastery:TheSamplingTheorem.Understand:ReconstructionofaSignalfromItsSamplesUsingInterpolation,TheEffectofUndersampling:Aliasing,SamplingofDiscrete-TimeSignals.Knowabout:Discrete-TimeProcessingofContinuous-TimeSignals.拉普拉斯变换教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换。基本要求：掌握拉普拉斯变换定义，拉普拉斯变换收敛域，拉普拉斯反变换，拉普拉斯变换性质，用拉普拉斯变换分析和表征线性时不变系统，系统函数的代数属性与方框图表示；熟悉常用拉普拉斯变换对，单边拉普拉斯变换；了解由零极点图对傅立叶变换进行几何求值。TheLaplaceTransformTheLaplaceTransform;TheRegionofConvergeneeforLaplaceTransforms;TheInverseLaplaceTransform;GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot;PropertiesoftheLaplaceTransform;AnalysisandCharacterizationofLTISystemsUsingtheLaplaceTransform;SystemFunctionAlgebraandBlockDiagramRepresentations;TheUnilateralLaplaceTransform..Mastery:TheLaplaceTransform,TheRegionofConvergenceforLaplaceTransforms,TheInverseLaplaceTransform,PropertiesoftheLaplaceTransform,SomeLaplaceTransformPairs;AnalysisandCharacterizationofLTISystemsUsingtheLaplaceTransform,SystemFunctionAlgebraandBlockDiagramRepresentations.Understand:SomeLaplaceTransformPairs,TheUnilateralLaplaceTransform.Knowabout:GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot.Z变换教学内容：Z变换；ZZZZZZ变换，ZZ变换，ZZZ变换分析和表征线性时不变系统，单边z进行几何求值。TheZ-TransformTheZ-Transform;TheRegionofConvergencefortheZ-Transform;TheInverseZ-Transform;GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot;PropertiesoftheZ-Transform;SomeCommonZ-TransformPairs;AnalysisandCharacterizationofLTISystemsUsingtheZ-Transform;SystemFunctionAlgebraandBlockDiagramRepresentations;TheUnilateralZ-Transform.Mastery:TheZ-Transform,TheRegionofConvergeneefortheZ-Transform,TheInverseZ-Transform,PropertiesoftheZ-Transform,SystemFunctionAlgebraandBlockDiagramRepresentations.Understand:SomeCommonZ-TransformPairs,AnalysisandCharacterizationofLTISystemsUsingtheZ-Transform,TheUnilateralZ-Transform.Knowabout:GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot.线性反馈系统教学内容：线性反馈系统；反馈系统的某些应用及结果；奈奎斯特稳定性判据。基本要求：熟悉线性反馈系统，反馈系统的某些应用及结果，奈奎斯特稳定性判据。LinearFeedbackSystemsLinearFeedbackSystems;SomeApplicationsandConsequencesofFeedback;TheNyquistStabilityCriterion.Understand:LinearFeedbackSystems,SomeApplicationsandConsequencesofFeedback,TheNyquistStabilityCriterion.系统的状态变量分析法教学内容：状态方程和输出方程；由系统函数求状态方程和输出方程；状态空间与传递函数。基本要求：掌握状态方程和输出方程的概念，由系统函数求状态议方程和输出方程的方法；熟悉状态空间与传递函数。建议使用教材AlanV.Oppenheim,AlanS.Willsky,S.HamidNawabSignalsandSystems2ndEdition北京：电子工业出版社，2002.8本课程学时分配SignalsandSystemsLinearTime-InvariantSystemsSignalsandSystemsLinearTime-InvariantSystemsFourierSeriesRepresentationofPeriodicSignalsTheContinuous-TimeFou