matlab code for discrete time fourier series
Các phương pháp xử lý tín hiệu dùng bộ lọc, phương pháp Fourier Transform, STFT( Short Time Fourier Transform)
... Trong miền tần số: phương pháp Fourier Transform. - Trong miền thời gian và tần số: STFT( Short Time Fourier Transform). 2.4.1. Phương pháp Fourier: 2.4.1.1. Biến đổi Fourier: Cho một hàm f(t) ... kết thúc của sự kiện thì Fourier không phát hiện được. 2.4.2. Phương pháp STFT: Để đạt được một biến đổi Fourier cục bộ, chúng ta có thể định nghĩa một biến đổi Fourier cửa sổ. Tín hiệu đầu ... đổi Fourier của nó được định nghĩa: () () ()tfedtetfFtitj,ωωω ==∫∞∞−− (2.14) Biến đổi Fourier ngược là: () ()∫∞∞−= ωωπωdeFtftj21 (2.15) Giả sử rằng biến đổi Fourier...
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06 Quantization of Discrete Time Signals
... as its domain. A discrete time, continuous amplitude signalhas R as its range. A discrete time, discrete amplitude signal has Z as its range. Here, the focus ison discrete time signals. Quantization ... maps thefinite set of discrete time, continuous amplitude signals into a finite set of discrete time, discrete amplitude signals.A signal x(n) is quantized one block at a time in that p (almost ... collection C is called the codebook and the number of vectors in the codebook, N,is known as the codebook size. The entries of the codebook are known as codewords or codevectors.If p = 1, we...
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Configuring Voice over IP for the Cisco 3600 Series
... configured for RSVP.Configure CODEC and VAD for Dial PeersCoder-decoder (CODEC) and voice activity detection (VAD) for a dial peer determine how muchbandwidth the voice session uses. CODEC typically ... Voice over IP for the Cisco 3600 Series VC-13Configuring Voice over IP for theCisco 3600 Series This chapter shows you how to configure Voice over IP (VoIP) on the Cisco 3600 series. For adescription ... over IP for it to run smoothly over Frame Relay. For example, a public Frame Relay cloud provides no guarantees for QoS. Refer to the “ConfigureFrame Relay for Voice over IP” section for information...
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Tài liệu Matlab tutorial for systems and control theory pdf
... Laplace and Z TransformsLaplace transforms are an important tool for analysis of continuous time dynamic systems,and Z transforms are an important tool for analysis of discrete time dynamic systems. ... listedhere.fft(x) Compute the discrete Fourier transform of the vector xifft(x) Compute the inverse discrete Fourier transform of the vector xfftshift Shifts the fft output from the discrete range frequency ... commands helpful for calculating and plotting frequency response giventhe system function for continuous or discrete time systems as ratios of polynomials.bode(n,d) Plot the Bode diagram for a CT system...
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Ebook - (Ferreira, 2009) MATLAB codes for finite element analysis
... displacements aã For each element, evaluate the strains and stresses (post-processing)2.5 First problem and first MATLAB code To illustrate some of the basic concepts, and introduce the first MATLAB code, we ... q(e)represents the vector of nodal forces. If the elementundergoes the action of distributed forces, it is necessary to transform those forcesinto nodal forces, byq(e)= k(e)1 −1−11u(e)1u(e)2−(bl)(e)211= ... is E =30e6, and the area of the cross-section isA =1.The code problem2.m considers an isoparametric formulation.% % MATLAB codes for Finite Element Analysis ...
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Tài liệu Writing C Code for the 8051 pptx
... TCON Timer Control Receiver Register |TF1|TR1|TF0|TR0| | | | | <-Timer Controls><-Unused for timers TRx Timer x run control 0 = Timer not running 1 = Timer running ... waveforms in Fig 1 show the waveform on a single conductor to transmit a byte (0x41) serially. The upper waveform is the TTL-level waveform seen at the transmit pin of 8051. The lower waveform ... true with the 8051, which has separate memory spaces for code, on-chip data, and external data. To accommodate for this when writing C code, Keil added extensions to variable declarations...
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Tài liệu 01 Fourier Series, Fourier Transforms, and the DFT doc
... PropertiesoftheDiscreteTimeFourierTransformBecausetheDTFTisacloserelativeoftheclassicalCTFouriertransformitshouldcomeasnosurprisethatmanypropertiesoftheDTFTaresimilartothosepresentedfortheCTFouriertransformintheprevioussection.Infact,formanyofthepropertiespresentedearlierananalogouspropertyexistsfortheDTFT.ThefollowinglistparallelsthelistthatwaspresentedintheprevioussectionfortheCTFouriertransform,totheextentthatthesamepropertyexists.AmorecompletelistofDTFTpairsisgiveninTable1.4.(Notethattheprimednotationonωisdroppedinthefollowingtosimplifythenotation,andtobeconsistentwithstandardusage.)1.Linearity(superposition):DTFT{af1[n]+bf2[n]}=aDTFT{f1[n]}+bDTFT{f2[n]}(aandb,complexconstants)2.Indexshifting:DTFT{f[n−n0]}=e−jωn0DTFT{f[n]}3.Frequencyshifting:ejω0nf[n]=DTFT−1{F(ej(ω−ω0))}4.Timedomainconvolution:DTFT{f1[n]∗f2[n]}=DTFT{f1[n]}DTFT{f2[n]}5.Frequencydomainconvolution:DTFT{f1[n]f2[n]}=(1/2π)DTFT{f1[n]}∗DTFT{f2[n]}6.Frequencydifferentiation:nf[n]=DTFT−1{dF(ejω)/dω}Notethatthetime-differentiationandtime-integrationpropertiesoftheCTFTdonothaveanalogouscounterpartsintheDTFTbecausetimedomaindifferentiationandintegrationarenotdefinedforDTc1999byCRCPressLLC ... tationhasbothamagnitudeandaphasespectrum.Forexample,themagnitudeoftheanisplottedinFig.1.4forthesawtoothwaveformofFig.1.3.Thefactthattheanconstituteadiscretesetisconsistentwiththefactthataperiodicsignalhasa“linespectrum,”i.e.,thespectrumcontainsonlyintegermultiplesofthefundamentalfrequencyω0.Therefore,theequationpairgivenby(1.5a)and(1.5b)canbeinterpretedasatransformpairthatissimilartotheCTFouriertransformforperiodicsignals.ThisleadstotheobservationthattheclassicalFourierseriescanbeinterpretedasaspecialtransformthatprovidesaone-to-oneinvertiblemappingbetweenthediscrete-spectraldomainandtheCTdomain.ThenextsectionshowshowtheperiodicityconstraintcanberemovedtoproducethemoregeneralclassicalCTFouriertransform,whichappliesequallywelltoperiodicandaperiodictimedomainwaveforms.FIGURE1.3:PeriodicCTsignalusedinFourierseriesexample.FIGURE1.4:MagnitudeoftheFouriercoefficientsforexampleofFigure1.3.1.2.2 TheTrigonometricFourierSeriesAlthoughFourierseriesexpansionsexistforcomplexperiodicsignals,andFouriertheorycanbegeneralizedtothecaseofcomplexsignals,thetheoryandresultsaremoreeasilyexpressedforreal-valuedsignals.Thefollowingdiscussionassumesthatthesignals(t)isreal-valuedforthesakeofsimplifyingthediscussion.However,allresultsarevalidforcomplexsignals,althoughthedetailsofthetheorywillbecomesomewhatmorecomplicated.Forreal-valuedsignalss(t),itispossibletomanipulatethecomplexexponentialformoftheFourierseriesintoatrigonometricformthatcontainssin(ω0t)andcos(ω0t)termswithcorrespondingreal-c1999byCRCPressLLC ... (1.14b)Thesetofallvaluesofuforwhichtheintegralof(1.14b)convergesiscalledtheregionofconvergence(ROC).BecausethetransformS(u)isdefinedonlyforvaluesofuwithintheROC,thepathofintegrationin(1.14a)mustbedefinedbyσsothattheentirepathlieswithintheROC.InsomeliteraturethistransformpairiscalledthebilateralLaplacetransformbecauseitisthesameresultobtainedbyincludingboththenegativeandpositiveportionsofthetimeaxisintheclassicalLaplacetransformintegral.[Notethatin(1.14a)thecomplexfrequencyvariablewasdenotedbyuratherthanbythemorecommons,inordertoavoidconfusionwithearlierusesofs(·)assignalnotation.]ThecomplexFouriertransform(bilateralLaplacetransform)isnotoftenusedinsolvingpracticalproblems,butitssignificanceliesinthefactthatitisthemostgeneralformthatrepresentsthepointatwhichFourierandLaplacetransformconceptsbecomethesame.IdentifyingthisconnectionreinforcesthenotionthatFourierandLaplacetransformconceptsaresimilarbecausetheyarederivedbyplacingdifferentconstraintsonthesamegeneralform.1.4 TheDiscreteTimeFourierTransformThediscretetimeFouriertransform(DTFT)canbeobtainedbyusingtheDTsamplingmodelandconsideringtherelationshipobtainedin(1.12)tobethedefinitionoftheDTFT.LettingT=1sothatthesamplingperiodisremovedfromtheequationsandthefrequencyvariableisreplacedwithc1999byCRCPressLLC...
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Tài liệu ADVANCES IN DISCRETE TIME SYSTEMS docx
... for calclulating a kindStochastic Mixed LQR/H∞ Control for Linear Discrete- Time Systemshttp://dx.doi.org/10.5772/510195 Chapter 1Stochastic Mixed LQR/H∞ Control for Linear Discrete- Time ... problem) for linear discrete- time systems with uncertainty was presented. When the parameter uncertaintyequals zero, the discrete- time state feedback mixed QGC/H∞ control problem reduces to the discrete- time ... problem for linear discrete- time systems (de Souza & Xie 1992), H∞controlproblem for linear continuous -time systems (Gadewadikar et al. 2007), mixed LQR/H∞ con‐trol problem for linear...
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Tài liệu Synchronization and Linearity An Algebra for Discrete Event Systems doc
... system theory form an ideal background. For algebra, [61] for instance providessuitable background material; for probability theory this role is for instance played by[20],and for linear system ... ‘busy time divided by the total time elapsed.Note that we didnot make any assumptions onthe servicetime τi(k).Ifone is facedwith unpredictable breakdowns (and subsequently a repair time) ... u(k) is a vector indicating whencertain resources become available for the k-th time. Subsequently it takes Bij time units before the j-thresource reaches node i of the network. The vector y(k)...
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Tài liệu Time Management 10 strategies for better time management pptx
... challenging tasks for when you have the most energy. Block out time for your high priority activities first and protect that time from interruptions. If you know you will have waiting time or ... Try to limit scheduled time to about 3/4ths of your day, leaving time for creative activities such as planning, dreaming, thinking, and reading. Block out time for your high priority ... PAGE 6 TIME MANAGEMENT ã Establish a master calendar for each family member to post their time commitments. ã Make each family member responsible for consulting the master calendar for potential...
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Tài liệu Báo cáo khoa học: "TOWARDS A DICTIONARY SUPPORT ENVIRONMENT FOR REAL TIME PARSING" potx
... then be combined, for the benefit of the client language processing system, with the other semantic information encoded for word senses in LDOCE; in particular the 'box codes' that ... yet; for example, the box codes, which contain selection restrictions for verbs or the subject codes, which classify word senses according to the Merriam-Webster codes for subject matter (see ... the code is geared more towards visual presentation than formal precision; for example, words which qualify codes, such as "to be" in Figure 3, appear in italics and therefore,...
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