丁建均jianjiundingnationaltaiwanuniversity办公室

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1、丁建均(Jian-JiunDing)NationalTaiwanUniversity辦公室：明達館723室，實驗室：明達館531室聯絡電話：(02)33669652Major：DigitalSignalProcessingDigitalImageProcessing1ResearchFields[A.SignalAnalysis](1)Time-FrequencyAnalysis(2)FractionalFourierTransform(3)WaveletTransform(4)Eigenfunctions,Eigenvec

2、tors,andProlateSpheroidalWaveFunction(5)SignalAnalysis(Cepstrum,Hilbert,CDMA)[B.FastAlgorithm](6)IntegerTransforms(7)FastAlgorithms(8)NumberTheory,HaarTransform,WalshTransform:themaintopicsIresearchedinrecentyears:themaintopicsIresearchbefore2[C.ApplicationsofSigna

3、lProcessing](9)OpticalSignalProcessing(10)Acoustics(11)Bioinformatics[D.ImageProcessing](12)ImageCompression(13)EdgeandCornerDetection(14)PatternRecognition[E.TheoriesforSignalProcessing](15)Quaternion:themaintopicsIresearchbefore:themaintopicsIresearchedinrecentye

4、ars31.Time-FrequencyAnalysishttp://djj.ee.ntu.edu.tw/TFW.htmFouriertransform(FT)Time-DomainFrequencyDomainSomethingsmaketheFTnotpractical:(1)Onlythecasewheret0tt1isinterested.(2)Notallthesignalsaresuitableforanalyzinginthefrequencydomain.Itishardtoanalyzethesign

5、alwhoseinstantaneousfrequencyvarieswithtime.4Example:x(t)=cos(t)whent<10,x(t)=cos(3t)when10t<20,x(t)=cos(2t)whent20(FMsignal)5InstantaneousFrequency瞬時頻率Ifthentheinstantaneousfrequencyoff(t)are其他瞬時頻率會隨時間而改變的例子音樂，語音信號ChirpSignal6SeveralTime-FrequencyDistribution

6、Short-TimeFourierTransform(STFT)withRectangularMaskGaborTransformWignerDistributionFunctionGabor-WignerTransform(Proposed)avoidcross-termlessclaritywithcross-termhighclarityavoidcross-termhighclarity7Cohen’sClassDistributionSTransformwhereHilbert-HuangTransform8Exa

7、mple:x(t)=cos(t)whent<10,x(t)=cos(3t)when10t<20,x(t)=cos(2t)whent20(FMsignal)Left：usingGrayleveltorepresenttheamplitudeofX(t,f)Right：slicingalongt=15f-axist-axist-axis9(1)FindingInstantaneousFrequency(2)SamplingTheory(3)FilterDesign(4)SignalDecomposition(5)Mod

8、ulationandMultiplexing(6)ElectromagneticWavePropagation(7)Optics(8)RadarSystemAnalysis(9)RandomProcessAnalysisApplicationsofTime-FrequencyAnalysi