《测控技术与仪器英语教程》Lesson 1 Periodic Signals

Lesson1PeriodicSignalsBackgroundsTexttour

LanguageinuseVocabularyStructureReading/writingtechniques11/6/20221《测控技术与仪器英语教程》BackgroundsTerminologyPeriodicsignals周期信号Time-domaindescription时域描述Polynomialexpansion多项式Taylorseries泰勒级数Fourierseries傅里叶级数Frequency-domaindescription频域描述Orthogonalfunction正交函数Vectors矢量11/6/20222《测控技术与仪器英语教程》TexttourOutline1.1Time-DomainDescription1.2Frequency-DomainDescription

1.3OrthogonalFunctions1.4TheFourierSeries11/6/20223《测控技术与仪器英语教程》1.1Time-DomainDescriptionthemainreasonsfordiscussingperiodicsignalsthemethodoftime-domaindescription—mathematicalnotation:

(1)polynomialexpansion

(2)Taylorseries(3)Fourierseries

11/6/20224《测控技术与仪器英语教程》1.2Frequency-DomainDescriptionDefinitionTheimportanceofsinusoidalfunctioninsignaldescription11/6/20225《测控技术与仪器英语教程》1.3OrthogonalFunctions1.3.1VectorsandSignal1.3.2SignalDescriptionbySetsofOrthogonalFunction11/6/20226《测控技术与仪器英语教程》1.3.1VectorsandSignalTheintroductionofvectorsVectorsfunction11/6/20227《测控技术与仪器英语教程》1.3.2SignalDescriptionbySetsof

OrthogonalFunctionAsetofmutuallyorthogonalfunctionsTermsofawholesetoforthogonalfunctions11/6/20228《测控技术与仪器英语教程》1.4TheFourierSeries1.4.1EvaluationoftheCoefficients1.4.2ChoiceofTimeOrigin,andWaveformPower11/6/20229《测控技术与仪器英语教程》1.4.1EvaluationofthecoefficientsEvaluationofthecoefficientsHalf-wavesymmetry11/6/202210《测控技术与仪器英语教程》1.4.2ChoiceofTimeOrigin,and

WaveformPowerTheillationofParsevalbytheFourierseries11/6/202211《测控技术与仪器英语教程》LanguageinuseVocabularydescription,function,involve,component,StructureReading/writingtechniques11/6/202212《测控技术与仪器英语教程》Vocabulary11/6/202213《测控技术与仪器英语教程》Descriptionindictionary描述：描述的行为，过程或技术声明，叙述：描述某事的声明或叙述用画表示：一种，一类：11/6/202214《测控技术与仪器英语教程》DescriptionintextAdiscussionoforthogonalfunctionsandoftheirvalueforthedescriptionofsignalsmaybeconvenientlyintroducedbyconsideringtheanalogybetweensignalsandvectors.通过分析信号和矢量之间的相似之处，引入用来描述信号的正交函数概念。

11/6/202215《测控技术与仪器英语教程》Description

inusepublishedadescriptionofhertravels;gaveavividdescriptionofthegame出版她的游记；关于这场比赛的生动描述Monet'setherealdescriptionsofhaystacksandwaterlilies.莫内关于干干草垛和睡莲的精妙描绘carsofeverysizeanddescription.各种大小和类型的小汽车11/6/202216《测控技术与仪器英语教程》Functionindictionary作用，功能职务，职责角色，工作重大聚会，庆典11/6/202217《测控技术与仪器英语教程》Functionindictionary函数：Amathematicalentitywhosevalue,thatis,thevalueofthedependentvariable,dependsinaspecifiedmanneronthevaluesofoneormoreindependentvariables,notmorethanonevalueofthedependentvariablecorrespondingtoeachpermissiblecombinationofvaluesfromtherespectiverangeoftheindependentvariables.功能：Aspecificpurposeofanentity,oritscharacteristicaction.操作：Indatacommunication,amachineactionsuchascarriagereturnorlinefeed.（如回车、换行）子程序：Asubroutinethatreturnsthevalueofasinglevariable,andthatusuallyhasasingleexit,forexample,subroutinesthatcomputemathematicalfunctions,suchassine,cosine,logarithm,orthatcomputethemaximumofasetofnumbers.11/6/202218《测控技术与仪器英语教程》FunctionintextThefactthatgreatmajorityoffunctionswhichmayusefullybeconsideredassignalsarefunctionsoflendsjustificationtothetreatmentofsignaltheoryintermsoftimeandoffrequency.

借助于时间和频率的信号处理理论，许多常被看作是信号的函数都用来进行信号处理。

11/6/202219《测控技术与仪器英语教程》Functioninusenormalprobabilityfunction概率正态分布函数orthonormalfunction正交函数self-correlationfunction自相关函数trigonometricalfunction三角函数unboundedfunction无界函数unitstepfunction单位阶跃函数zeroBesselfunction零次贝塞尔函数functionoffirstdegree一次函数functionofmanyvariables多元函数functionofrandomvariable随机变量函数11/6/202220《测控技术与仪器英语教程》Involveindictionary含有，包括：包括；含有…为一部分伴随，连同：作为必需特色和影响而拥有；伴随使牵涉，卷入：使某人卷进来；使参与密切关联，牵连：和…直接有关，经常指使某人担上罪责；牵连：影响：影响或对…产生作用：具有或吸引…的兴趣：11/6/202221《测控技术与仪器英语教程》Involveindictionary复杂：使…错综复杂；把…复杂化包围；裹住：围绕或缠绕11/6/202222《测控技术与仪器英语教程》InvolveintextAcompletetime-domaindescriptionofsuchasignalinvolvesspecifyingitsvaluepreciseateveryinstantoftime.周期信号的完整的时域描述包括详细指明其在每个瞬间的精确值。

11/6/202223《测控技术与仪器英语教程》InvolveinusewastoldthatthejobwouldinvolvetravelSeeSynonymsatinclude被告知那份工作将需要出差参见includeinvolvedthebystandersinhisdisputewiththepolice.把旁观者牵扯进他与警察的争执evidencethatinvolvedthegovernorinthescandal.州长牵连进丑闻的证据Thematterisseriousbecauseitinvolvesyourreputation.这件事很严重，因为它影响到你的声誉astorythatcompletelyinvolvedmefortherestoftheevening.一个让我在那天晚上余下的时间完全沉浸其中的故事11/6/202224《测控技术与仪器英语教程》component

indictionary成分，系统的组成要素零件11/6/202225《测控技术与仪器英语教程》component

intextThereareanumberofreasonswhysignalrepresentationintermsofasetofcomponentsinusoidalwavesoccupiessuchacentralroleinsignalanalysis.有许多理由可以说明为什么在信号分析时信号成份中正弦波起到如此重要的作用。11/6/202226《测控技术与仪器英语教程》component

inuseOneoftheessential,functioningpartsofasubsystemorequipment,possiblyaself-containedelement,oracombinationofparts,assemblies,attachments,oraccessories.

子系统或设备的基本组成部分或功能部件之中的一个。它可以是一种独立的元件,也可以是若干部件、装配件或附件的组合。Insoftwareengineering,abasicpartofasystemorprogram.Forexample,theschedulerorsupervisorofan