信號(hào)與系統(tǒng)(雙語(yǔ))課程教學(xué)大綱

《信號(hào)與系統(tǒng)（雙語(yǔ)）》課程教學(xué)大綱》1本課程的性質(zhì)及適用專業(yè)本課程是一門專業(yè)基礎(chǔ)課程，適用于通信工程專業(yè)。CourseAimsandObjectives:ThiscourseiscentraltothestudiesincommunicationEngineering.本課程的教學(xué)目標(biāo)通過本課程的學(xué)習(xí)，使學(xué)生初步認(rèn)識(shí)如何建立信號(hào)與系統(tǒng)的數(shù)學(xué)模型，如何經(jīng)適當(dāng)?shù)臄?shù)學(xué)分析求解,并對(duì)所得的結(jié)果給出物理解釋和賦予物理意義。學(xué)生應(yīng)能掌握信號(hào)分析與線性系統(tǒng)的基本理論及分析方法，應(yīng)能建立簡(jiǎn)單電路與系統(tǒng)的數(shù)學(xué)模型，并對(duì)數(shù)學(xué)模型求解。CourseFocus:Studentswilllearnhowcontinuousanddiscretetimesignalsaremodifiedbysystemsdescribedinthefrequencyandtimedomains.Thiscoursewillprovidestudentswithanunderstandingofsignalsandsystems.Thematerialislearnedviaperformanee,ratherthancompetitionwithclassmates.對(duì)先修課程的要求建議先修高等教學(xué)、復(fù)變函數(shù)與積分變換、電路理論等課程。SuggestlearningAdvancedMathematicsandCircuitsPrinciplefirst.本課程教學(xué)內(nèi)容及基本要求ClassSyllabus信號(hào)與系統(tǒng)概述連續(xù)時(shí)間與離散時(shí)間系統(tǒng)；基本系統(tǒng)性質(zhì)。基本要求：掌握連續(xù)時(shí)間與離散時(shí)間信號(hào)，自變量的變換，指數(shù)信號(hào)與正弦信號(hào)，單位沖激與單位階躍函數(shù)；熟悉連續(xù)時(shí)間與離散時(shí)間系統(tǒng)，基本系統(tǒng)性質(zhì)。SignalsandSystemsContinuous-TimeandDiscrete-TimeSignals;TransformationsoftheIndependentVariable;ExponentialandSinusoidalSignals;TheUnitImpulseandUnitStepFunctions;Continuous-TimeandDiscrete-TimeSystems;BasicSystemProperties.Mastery:Continuous timeanddiscrete-timesignals,TransformationsoftheIndependentVariable,ExponentialandSinusoidalSignals,TheUnitImpulseandUnitStepFunctions.Understand:Continuous-TimeandDiscrete-TimeSystems,BasicSystemProperties.線性時(shí)不變系統(tǒng)教學(xué)內(nèi)容：卷積和與卷積積分；線性時(shí)不變系統(tǒng)性質(zhì)；用微分和差分方程描述的因果線性時(shí)不變系統(tǒng);奇異函數(shù)。基本要求：掌握卷積和與卷積積分計(jì)算與性質(zhì)，線性時(shí)不變系統(tǒng)性質(zhì)，奇異函數(shù)及其性質(zhì)；熟悉用微分和差分方程描述的因果線性時(shí)不變系統(tǒng)。LinearTime-InvariantSystemsDiscrete-TimeLTISystems:TheConvolutionSum;Continuous-TimeLTISystems:TheConvolutionIntegral;PropertiesofLinearTime-lnvariantSystems;CausalLTISystemsDescribedbyDifferentialandDifferenceEquations;SingularityFunctions.Mastery:Discrete-TimeLTISystems:TheConvolutionSum,Continuous-TimeLTISystems,TheConvolutionIntegral,PropertiesofLinearTime-InvariantSystems,SingularityFunctionsandifsProperties.Understand:CausalLTISystemsDescribedbyDifferentialandDiffereneeEquations.周期信號(hào)的傅立葉級(jí)數(shù)表示教學(xué)內(nèi)容：傅立葉級(jí)數(shù)的歷史回顧；線性時(shí)不變系統(tǒng)對(duì)復(fù)指數(shù)信號(hào)的響應(yīng)；連續(xù)時(shí)間周期信號(hào)的傅立葉級(jí)數(shù)表示；傅立葉級(jí)數(shù)的收斂；連續(xù)吋間傅立葉級(jí)數(shù)性質(zhì)；離散時(shí)間周期信號(hào)的傅立葉級(jí)數(shù)表示；離散時(shí)間傅立葉級(jí)數(shù)性質(zhì)；傅立葉級(jí)數(shù)與線性時(shí)不變系統(tǒng)；濾波；用微分方程描述的連續(xù)時(shí)間濾波器舉例；用差分方程描述的連續(xù)時(shí)間濾波器舉例?；疽螅赫莆站€性時(shí)不變系統(tǒng)對(duì)復(fù)指數(shù)信號(hào)的響應(yīng)，連續(xù)時(shí)間周期信號(hào)的傅立葉級(jí)數(shù)表示，周期信號(hào)表示為傅立葉級(jí)數(shù)的方法及性質(zhì)，離散時(shí)間周期信號(hào)的傅立葉級(jí)數(shù)表示，離散時(shí)間傅立葉級(jí)數(shù)性質(zhì)；熟悉傅立葉級(jí)數(shù)的收斂，濾波的概念和用微分方程描述的連續(xù)時(shí)間濾波器以及用差分方程描述的連續(xù)時(shí)間濾波器；了解傅立葉級(jí)數(shù)的歷史。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.連續(xù)信號(hào)的傅立葉變換教學(xué)內(nèi)容：連續(xù)時(shí)間傅立葉變換；周期信號(hào)傅立葉變換；連續(xù)時(shí)間傅立葉變換性質(zhì)；卷積性質(zhì)；相乘性質(zhì)；由線性常系數(shù)微分方程表征的系統(tǒng)?；疽螅赫莆者B續(xù)時(shí)間傅立葉變換，周期信號(hào)傅立葉變換，連續(xù)時(shí)間傅立葉變換性質(zhì)，線性常系數(shù)微分方程表征的系統(tǒng)；熟悉卷積性質(zhì)和相乘性質(zhì)。TheContinuous-TimeFourierTransformRepresentationofAperiodicSignals:TheContinuous-TimeFourierTransform;TheFourierTransformforPeriodicSignals;PropertiesoftheContinuous-TimeFourierTransform;TheConvolutionProperty;TheMultiplicationProperty;TablesofFourierPropertiesandofBasicFourierTransformParis;SystemsCharacterizedbyLinearConstant-CoefficientDifferentialEquations.Mastery:TheContinuous-TimeFourierTransform,TheFourierTransformforPeriodicSignals,PropertiesoftheContinuous-TimeFourierTransform,TheConvolutionProperty,SystemsCharacterizedbyLinearConstant-CoefficientDifferentialEquations.Understand:TheConvolutionPropertyandtheMultiplicationProperty.離散信號(hào)的傅立葉變換教學(xué)內(nèi)容：離散吋間傅立葉變換；周期信號(hào)傅立葉變換；離散時(shí)間傅立葉變換性質(zhì)；卷積性質(zhì)；相乘性質(zhì)；對(duì)偶性；由線性常系數(shù)差分方程表征的系統(tǒng)。基本要求：掌握離散時(shí)間傅立葉變換，周期信號(hào)傅立葉變換，離散時(shí)間傅立葉變換性質(zhì)，線性常系數(shù)差分方程表征的系統(tǒng)；熟悉卷積性質(zhì)和相乘性質(zhì)以及對(duì)偶性質(zhì)。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.采樣教學(xué)內(nèi)容：采樣定理；利用內(nèi)插由樣本重建信號(hào)；混疊現(xiàn)象；連續(xù)時(shí)間信號(hào)的離散時(shí)間處理；離散時(shí)間信號(hào)采樣。基本要求：掌握采樣定理，熟悉利用內(nèi)插由樣本重建信號(hào)，混疊現(xiàn)象，離散時(shí)間信號(hào)采樣；了解連續(xù)吋間信號(hào)的離散時(shí)間處理。SamplingRepresentationofContinuous-TimeSignalbyItsSamples:TheSamplingTheorem;ReconstructionofaSignalfromItsSamplesUsingInterpolation;TheEffectofUndersampling:Aliasing;Discrete-TimeProcessingofContinuous-TimeSignals;SamplingofDiscrete-TimeSignals.Mastery:TheSamplingTheorem.Understand:ReconstructionofaSignalfromItsSamplesUsingInterpolation,TheEffectofUndersampling:Aliasing,SamplingofDiscrete-TimeSignals.Knowabout:Discrete-TimeProcessingofContinuous-TimeSignals.拉普拉斯變換教學(xué)內(nèi)容：拉普拉斯變換；拉普拉斯變換收斂域；拉普拉斯反變換；由零極點(diǎn)圖對(duì)傅立葉變換進(jìn)行幾何求值；拉普拉斯變換性質(zhì)；常用拉普拉斯變換對(duì)；用拉普拉斯變換分析和表征線性時(shí)不變系統(tǒng)；系統(tǒng)函數(shù)的代數(shù)屬性與方框圖表示；單邊拉普拉斯變換?；疽螅赫莆绽绽棺儞Q定義，拉普拉斯變換收斂域，拉普拉斯反變換，拉普拉斯變換性質(zhì)，用拉普拉斯變換分析和表征線性時(shí)不變系統(tǒng)，系統(tǒng)函數(shù)的代數(shù)屬性與方框圖表示；熟悉常用拉普拉斯變換對(duì)，單邊拉普拉斯變換；了解由零極點(diǎn)圖對(duì)傅立葉變換進(jìn)行幾何求值。TheLaplaceTransformTheLaplaceTransform;TheRegionofConvergeneeforLaplaceTransforms;TheInverseLaplaceTransform;GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot;PropertiesoftheLaplaceTransform;AnalysisandCharacterizationofLTISystemsUsingtheLaplaceTransform;SystemFunctionAlgebraandBlockDiagramRepresentations;TheUnilateralLaplaceTransform..Mastery:TheLaplaceTransform,TheRegionofConvergenceforLaplaceTransforms,TheInverseLaplaceTransform,PropertiesoftheLaplaceTransform,SomeLaplaceTransformPairs;AnalysisandCharacterizationofLTISystemsUsingtheLaplaceTransform,SystemFunctionAlgebraandBlockDiagramRepresentations.Understand:SomeLaplaceTransformPairs,TheUnilateralLaplaceTransform.Knowabout:GeometricEvaluationoftheFourierTransformfromthePole-ZeroPlot.Z變換教學(xué)內(nèi)容：Z變換；ZZZZZZ變換，ZZ變換，ZZZ變換分析和表征線性時(shí)不變系統(tǒng)，單邊z進(jìn)行幾何求值。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.線性反饋系統(tǒng)教學(xué)內(nèi)容：線性反饋系統(tǒng)；反饋系統(tǒng)的某些應(yīng)用及結(jié)果；奈奎斯特穩(wěn)定性判據(jù)。基本要求：熟悉線性反饋系統(tǒng)，反饋系統(tǒng)的某些應(yīng)用及結(jié)果，奈奎斯特穩(wěn)定性判據(jù)。LinearFeedbackSystemsLinearFeedbackSystems;SomeApplicationsandConsequencesofFeedback;TheNyquistStabilityCriterion.Understand:LinearFeedbackSystems,SomeApplicationsandConsequencesofFeedback,TheNyquistStabilityCriterion.系統(tǒng)的狀態(tài)變量分析法教學(xué)內(nèi)容：狀態(tài)方程和輸出方程；由系統(tǒng)函數(shù)求狀態(tài)方程和輸出方程；狀態(tài)空間與傳遞函數(shù)?；疽螅赫莆諣顟B(tài)方程和輸出方程的概念，由系統(tǒng)函數(shù)求狀態(tài)議方程和輸出方程的方法；熟悉狀態(tài)空間與傳遞函數(shù)。建議使用教材AlanV.Oppenheim,AlanS.Willsky,S.HamidNawabSignalsandSystems2ndEdition北京：電子工業(yè)出版社，2002.8本課程學(xué)時(shí)分配SignalsandSystemsLinearTime-InvariantSystemsSignalsandSystemsLinearTime-InvariantSystemsFourierSeriesRepresentationofPeriodicSignalsTheContinuous-TimeFou