discrete fourier series ppt

Ngày tải lên: 24/12/2013, 12:16

Ngày tải lên: 22/06/2014, 23:20

... decomposed. Chapter 8- The Discrete Fourier Transform 145 Type of Transform Example Signal Fourier Transform Fourier Series Discrete Time Fourier Transform Discrete Fourier Transform signals that ... from negative to positive infinity. This class of Fourier Transform is sometimes called the Discrete Fourier Series, but is most often called the Discrete Fourier Transform. You might be thinking that ... Fourier decomposition, the heart of the DFT. The Family of Fourier Transform Fourier analysis is named after Jean Baptiste Joseph Fourier (1768-1830), a French mathematician and physicist. (Fourier...

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Ngày tải lên: 17/12/2013, 14:15

... fiber optic connector series. The ProAx fiber connector series is a modular system that allows for great flexibility. ADC’s patented gender change feature of this connector series allows users ... fiber connector series compliments the ProAx triax connector series providing multiple applications for triax and fiber based camera connectivity in one location. Both connector series share ... +1-952-938-8080 • 1-800-366-3891 SPEC SHEET ProAx ® Fiber Connector Series ADC introduces the ProAx ® Fiber Connector Series, designed by broadcast professionals for broadcast professionals,...

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Ngày tải lên: 17/01/2014, 11:20

... Các Phương Pháp Thống Kê (Statistical Method) đối với Chuỗi Thời gian Kinh tế (Economic Time Series) Trích từ tài liệu: The Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel...

Ngày tải lên: 23/01/2014, 23:20

... ConvergenceoftheFourierSeries TheFourierseriesrepresentationofaperiodicsignalisanapproximationthatexhibitsmeansquared convergencetothetruesignal.Ifs(t)isaperiodicsignalofperiodT,ands  (t)denotestheFourier seriesapproximationofs(t),thens(t)ands  (t)areequalinthemeansquaresenseif MSE=  T/2 −T/2 |s(t)−s(t)  | 2 dt=0 ... analogous to the classical Fourier (CT) transform, and the DFT is analogous to the classical (CT) Fourier series. 1.7 Selected Applications of Fourier Methods 1.7.1 Fast Fourier Transform in Spectral ... (1.7) Evenwith(1.7)satisfied,meansquareerror(MSE)convergencedoesnotmeanthats(t)=s  (t) ateveryvalueoft.Inparticular,itisknownthatatvaluesoft,wheres(t)isdiscontinuous,the Fourierseriesconvergestotheaverageofthelimitingvaluestotheleftandrightofthediscontinuity. Forexample,ift 0 isapointofdiscontinuity,thens  (t 0 )=[s(t − 0 )+s(t + 0 )]/2,wheres(t − 0 )and s(t + 0 )weredefinedpreviously.(Notethatatpointsofcontinuity,thisconditionisalsosatisfiedby thedefinitionofcontinuity.)BecausetheDirichetconditionsrequirethats(t)haveatmostafinite numberofpointsofdiscontinuityinoneperiod,thesetS t ,definedasallvaluesoftwithinone periodwheres(t)=s  (t),containsafinitenumberofpoints,andS t isasetofmeasurezerointhe formalmathematicalsense.Therefore,s(t)anditsFourierseriesexpansions  (t)areequalalmost everywhere,ands(t)canbeconsideredidenticaltos  (t)fortheanalysisofmostpracticalengineering problems. Convergencealmosteverywhereissatisfiedonlyinthelimitasaninfinitenumberoftermsare includedintheFourierseriesexpansion.IftheinfiniteseriesexpansionoftheFourierseriesis truncatedtoafinitenumberofterms,asitmustbeinpracticalapplications,thentheapproximation willexhibitanoscillatorybehavioraroundthediscontinuity,knownastheGibbsphenomenon[1]. Lets  N (t)denoteatruncatedFourierseriesapproximationofs(t),whereonlythetermsin(1.5a) fromn=−Nton=NareincludedifthecomplexFourierseriesrepresentationisused,orwhere onlythetermsin(1.6a)fromn=0ton=NareincludedifthetrigonometricformoftheFourier seriesisused.Itiswellknownthatinthevicinityofadiscontinuityatt 0 theGibbsphenomenon causess  N (t)tobeapoorapproximationtos(t).ThepeakmagnitudeoftheGibbsoscillationis13% ofthesizeofthejumpdiscontinuitys(t − 0 )−s(t + 0 )regardlessofthenumberoftermsusedinthe approximation.AsNincreases,theregionthatcontainstheoscillationbecomesmoreconcentrated intheneighborhoodofthediscontinuity,until,inthelimitasNapproachesinfinity,theGibbs oscillationissqueezedintoasinglepointofmismatchatt 0 . Ifs  (t)isreplacedbys  N (t)in(1.7),itisimportanttounderstandthebehavioroftheerrorMSE N asafunctionofN,where MSE N =  T/2 −T/2 |s(t)−s  N (t)| 2 dt...

Ngày tải lên: 27/01/2014, 03:20

Ngày tải lên: 23/02/2014, 12:20

... back to the Imperial era. Through Proclamation No. 158 of 1957, the Imperial Government defined a series of 'offenses against public elections and voting' and corresponding punishments....

Ngày tải lên: 05/03/2014, 21:20

... Adopting an Accounting System Copyright © 2001 by Patsula Media ! The Entrepreneur’s Guidebook Series TM 28 free , most accounting systems are set up as double-entry systems. Double-entry ... Adopting an Accounting System Copyright © 2001 by Patsula Media ! The Entrepreneur’s Guidebook Series TM 10 ess. 2. The needs of GOVERNMENT. A good accounting system meets the minimum record ... Adopting an Accounting System Copyright © 2001 by Patsula Media ! The Entrepreneur’s Guidebook Series TM 19 Canceled Checks – All business owners should make disbursements using checks....

Ngày tải lên: 06/03/2014, 21:20

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... provisions were opened, and CHAPTER V. 21 Project Gutenberg's Genghis Khan, Makers of History Series, by Jacob Abbott This eBook is for the use of anyone anywhere at no cost and with almost ... included with this eBook or online at www.gutenberg.net Title: Genghis Khan, Makers of History Series Author: Jacob Abbott Release Date: May 2, 2009 [EBook #28667] Language: English Character ... and EDWARD ABBOTT. [Illustration: INAUGURATION OF GENGHIS KHAN.] PREFACE. Khan, Makers of History Series, by Jacob Abbott 2 The battle was a very obstinate and bloody one, but, in the end, Temujin's...

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