Tài liệu 01 Fourier Series, Fourier Transforms, and the DFT doc

... (1.19b)whereω=ωTisthenormalizedDTfrequencyaxisexpressedinradians.NotethatS(ejωT)=S(ejω)consistsofaninfinitenumberofreplicasoftheCTspectrumS(jω),positionedatintervalsof(2π/T)ontheωaxis(oratintervalsof2πontheωaxis),asillustratedinFig.1.8.NotethatifS(jω)isbandlimitedwithabandwidthωc,andifTischosensufficientlysmallsothatωs>2ωc,thentheDTspectrumisacopyofS(jω)(scaledby1/T)inthebaseband.Thelimitingcaseofωs=2ωciscalledtheNyquistsamplingfrequency.WheneveraCTsignalissampledatorabovetheNyquistrate,noaliasingdistortionoccurs(i.e.,thebasebandspectrumdoesnotoverlapwiththehigher-orderreplicas)andtheCTsignalcanbeexactlyrecoveredfromitssamplesbyextractingthebasebandspectrumofS(ejω)withanideallow-passfilterthatrecoverstheoriginalCTspectrumbyremovingallspectralreplicasoutsidethebasebandandscalingthebasebandbyafactorofT.1.5 TheDiscreteFourierTransformToobtainthediscreteFouriertransform (DFT) thecontinuousfrequencydomainoftheDTFTissampledatNpointsuniformlyspacedaroundtheunitcircleinthez-plane,i.e.,atthepointsc1999byCRCPressLLCFIGURE1.8:IllustrationoftherelationshipbetweentheCTandDTspectra.ωk=(2πk/N),k=0,1, ... (1.21)wherey(n)isobtainedbytransformingh[n]ands[n]intoH[k]andS[k]usingtheDFT,multiplyingthetransformspoint-wisetoobtainY[k]=H[k]S[k],andthenusingtheinverseDFTtoobtainy[n] =DFT −1{Y[k]}.Ifs[n]isafinitesequenceoflengthM,thentheresultsofthecircularconvolutionimplementedbytheDFTwillcorrespondtothedesiredlinearconvolutioniftheblocklengthoftheDFT,N DFT ,ischosensufficientlylargesothatN DFT ≥N+M−1andbothh[n]ands[n]arepaddedwithzeroestoformblocksoflengthN DFT .1.5.2 ... RelationshipbetweentheContinuousandDiscreteTimeSpectraBecauseDTsignalsoftenoriginatebysamplingCTsignals,itisimportanttodeveloptherelationshipbetweentheoriginalspectrumoftheCTsignalandthespectrumoftheDTsignalthatresults.First,c1999byCRCPressLLCtheCTFTisappliedtotheCTsamplingmodel,andthepropertieslistedaboveareusedtoproducethefollowingresult:F{sa(t)}=Fs(t)∞n=−∞δ(t−nT)=...

... but they do have their place. There are a lot of weak passwords out there and every little bit helps. So, the longer we delay an attacker while they try dictionary attacks on our passwords, the ... can think of these as the “primary colors” of information assurance. By mixing and matching these and we do mix and match, because they are interrelated we are able to develop either a very ... has occurred and clean up the mess expeditiously and completely, and then tune our defenses to keep it from happening to us again.One of the most effective attacks that penetrates standard perimeters...

... industry standardconnectorsApplications:• Military and tactical applications wherecables are abused• Outdoor use where quick retrieval and rough handling are necessary• Electronic News Gathering ... Simplex and Duplex CablesSPEC SHEET www.adc.com • +1-952-938-8080 • 1-800-366-3891ADC’s ruggedized simplex and duplex cablesprovide factory standard guaranteedperformance specifications. They ... (-40)10/05 • 1014 60 Ruggedized Simplex & Duplex CablesFiber Optic CableRuggedized Simplex and Duplex Cables3www.adc.com • +1-952-938-8080 • 1-800-366-3891Construction Characteristics:Strand...

... v. Even though the speed is constant, the velocity is not. The reason is that the direction of the velocity vector changes from point to point along the path. The fact that the velocity changes ... 1. Vector moves towards vector and 02. The direction of the ratio (and thus )approachestavgr r rrv∆∆ →∆∆r r rrr the direction of the tangent to the path at position 13. avgv ... observer A in the xy-plane. Observers A and B determine the position vector of particle P to be and , respectively. PA PBr rr r We take the time derivative of both sides of the equationPA...

... other suggestions for improvement, please indicate the title and part number of the documentation and the chapter, section, and page number (if available). You can send comments to us in the ... username and password for OTN, then you can go directly to the documentation section of the OTN Web site athttp://otn.oracle.com/documentation/ConventionsThis section describes the conventions ... time, resource consumption, and wait events. The first two steps are required to configure the service priorities and the job classes for the server side services in the Automatic Workload Repository...

... industry standardconnectorsApplications:• Military and tactical applications wherecables are abused• Outdoor use where quick retrieval and rough handling are necessary• Electronic News Gathering ... Simplex and Duplex CablesSPEC SHEET www.adc.com • +1-952-938-8080 • 1-800-366-3891ADC’s ruggedized simplex and duplex cablesprovide factory standard guaranteedperformance specifications. They ... (-40)10/05 • 1014 60 Ruggedized Simplex & Duplex CablesFiber Optic CableRuggedized Simplex and Duplex Cables3www.adc.com • +1-952-938-8080 • 1-800-366-3891Construction Characteristics:Strand...

... Set the system date and time on the handheld device.Route Info: Identify the handheld to the Insight system by entering the company, route, and salesman numbers.App Settings: Control the way ... of the text3.4.6 System PackageRefer to Error Handling and LoggingS3I Confidential 27/54/Routepad_Architecture _and_ Detailed_Design v1.03.5 Exception Handling and Logging3.5.1 Exception Handling3.5.1.1 ... level. This log level is used to trace business flows of the system and help administrator/users to know track the flows and data during the PDA running.• Debug: Log a message with stack trace...

... rrr( ) ( )int int int int1 2 3 1 2 3 The sum in the first parenthesis on the RHS of the equation above is just The sum in the second parethesis on the RHS vanapp app app appcom n nnetF ... internal and as such cancel out. The only external force is that of gravity and this remains the same before and after the explosion. This means that the center of mass of the fragments folows the ... to the collision with the target. During each collision a momentum n tp∆∆change is imparted on the target. The Impulse on the target during the time interval is: The average force on the...

... linking to otherdocuments and to e-mail addresses.Linking to Other DocumentsTo link to another document, the opening <a>tag must carry an attribute called href; the value of the hrefattribute ... follows:❑YYYYrepresents the year.❑MMrepresents the month.❑DDrepresents the day of the month.❑Tis just a separator between the date and time.❑hhis the hour.❑mmis the number of minutes.❑ssis the ... concise and to make the content of the <a>element actually describe what is at the other end of the link. Because the content of the <a>element clearly sticks out more than the text...

... to use the median and the interquartile range to-gether, so is it natural to use the mean and the standard deviation together.In the case of a symmetric random variable, the median and the mean ... weights along the length of a board. The location of the weights are the values of the random variable and the weights represent the probabilities ofthose values. After gluing the weights in ... range.(e) If the median of a random variable equals its expected value, then the random variable is symmetric.4. For each of the following random variables, discuss whether the medianor the mean...