Transcription of Time-Frequency Toolbox
1 Time-FrequencyToolboxFor Use with MATLABR eference Guide 1995-1996 Rice University (USA)Patrick Flandrin *Fran ois Auger *Paulo Gon alv s Olivier Lemoine ** CNRS (France)2 F. Auger, P. Flandrin, P. Gonc alv`es, O. LemoineCopyright (C) 1996 CNRS (France) and Rice University (USA).Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Doc-umentation License, Version or any later version published by the Free Software Foundation; with noInvariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in thesection entitled GNU Free Documentation License.
2 The Time-Frequency Toolbox has been mainly developed under the auspices of the French CNRS (CentreNational de la Recherche Scientifique). It results from a research effort conducted within its Groupements deRecherche Traitement du Signal et Images (O. Macchi) and Information, Signal et Images ( Chassery).Parts of the Toolbox have also been developed at Rice University, when one of the authors (PG) was visiting theDepartment of Electrical and Computer Engineering, supported by NSF. Supporting institutions are gratefullyacknowledged, as well as M. Guglielmi, M. Najim, R. Settineri, Baraniuk, M. Chausse, D. Roche, , O. Michel and P.
3 Abry for their help at different phases of the Toolbox Reference Guide, October 26, 20054 F. Auger, P. Flandrin, P. Gonc alv`es, O. LemoineGlossary and summaryThis section contains detailed descriptions of all the Time-Frequency Toolbox functions. It begins with aglossary and a list of functions grouped by subject area and continues with the reference entries in alphabeticalorder. Information is also available through the online help functionARAuto-regressive (filter or model)ASKA mplitude shift keyed signalBJDBorn-Jordan distributionBPSKB inary phase shift keyed signalBUDB utterworth distributionCWDChoi-Williams distributionFMFrequency modulationFSKF requency shift keyed signalGRDG eneralized rectangular distributionHTHough transformMHDM argenau-Hill distributionMHSDM argenau-Hill-Spectrogram distributionMMCEM inimum mean cross-entropyNAFN arrow-band ambiguity functionPMHDP seudo Margenau-Hill distributionPWVDP seudo Wigner-Ville distributionQPSKQ uaternary phase shift keyed signalRIDR educed interference distributionSTFTS hort-time Fourier transformTFRTime- frequency representationWAFWide-band ambiguity
4 FunctionWVDW igner-Ville distributionZAMZhao-Atlas-Marks distributionTime- frequency Toolbox Reference Guide, October 26, 2005 Signal generation filesChoice of the Instantaneous Amplitudeamexpo1sOne-sided exponential amplitude modulationamexpo2sBilateral exponential amplitude modulationamgaussGaussian amplitude modulationamrectRectangular amplitude modulationamtriangTriangular amplitude modulationChoice of the Instantaneous FrequencyfmconstSignal with constant frequency modulationfmhypSignal with hyperbolic frequency modulationfmlinSignal with linear frequency modulationfmodanySignal with arbitrary frequency modulationfmparSignal with parabolic frequency modulationfmpowerSignal with power-law frequency modulationfmsinSignal with sinusoidal frequency
5 ModulationgdpowerSignal with a power-law group delayChoice of Particular SignalsaltesAltes signal in time domainanaaskAmplitude Shift Keyed (ASK) signalanabpskBinary Phase Shift Keyed (BPSK) signalanafskFrequency Shift Keyed (FSK) signalanapulseAnalytic projection of unit amplitude impulse signalanaqpskQuaternary Phase Shift Keyed (QPSK) signalanasingLipschitz singularityanastepAnalytic projection of unit step signalatomsLinear combination of elementary Gaussian atomsdopnoiseComplex Doppler random signaldopplerComplex Doppler signalklauderKlauder wavelet in time domainmexhatMexican hat wavelet in time domainwindowWindow generationNoise RealizationsnoisecgAnalytic complex gaussian noisenoisecuAnalytic complex uniform white noiseModificationscaleScale a signal using the Mellin transformsigmergeAdd two signals with a given energy ratio in dB Processing files6 F.
6 Auger, P. Flandrin, P. Gonc alv`es, O. LemoineTime-Domain Processingifestar2 Instantaneous frequency estimation using AR2 frequency estimationloctimeTime localization characteristicsFrequency-Domain ProcessingfmtFast Mellin transformifmtInverse fast Mellin transformlocfreqFrequency localization characteristicssgrpdlayGroup delay estimationLinear Time-Frequency ProcessingtfrgaborGabor representationtfrstftShort time Fourier transformBilinear Time-Frequency Processing in the Cohen s ClasstfrbjBorn-Jordan distributiontfrbudButterworth distributiontfrcwChoi-Williams distributiontfrgrdGeneralized rectangular distributiontfrmhMargenau-Hill
7 DistributiontfrmhsMargenau-Hill-Spectrog ram distributiontfrmmceMinimum mean cross-entropy combination of spectrogramstfrpagePage distributiontfrpmhPseudo Margenau-Hill distributiontfrppagePseudo Page distributiontfrpwvPseudo Wigner-Ville distributiontfrriRihaczek distributiontfrridbReduced interference distribution (Bessel window)tfrridbnReduced interference distribution (binomial window)tfrridhReduced interference distribution (Hanning window)tfrridtReduced interference distribution (triangular window)tfrspSpectrogram distributiontfrspwvSmoothed Pseudo Wigner-Ville distributiontfrwvWigner-Ville distributiontfrzamZhao-Atlas-Marks distributionBilinear Time-Frequency Processing in the Affine ClasstfrbertUnitary Bertrand distributiontfrdflaD-Flandrin distributiontfrscaloScalogram, for Morlet or Mexican hat wavelettfrspawSmoothed Pseudo Affine Wigner distributionstfrunterUnterberger distribution , active or passive formTime- frequency Toolbox Reference Guide, October 26.
8 2005 Reassigned Time-Frequency ProcessingtfrrgabReassigned Gabor spectrogramtfrrmscReassigned Morlet Scalogram Time-Frequency distributiontfrrpmhReassigned Pseudo Margenau-Hill distributiontfrrppagReassigned Pseudo Page distributiontfrrpwvReassigned Pseudo Wigner-Ville distributiontfrrspReassigned SpectrogramtfrrspwvReassigned Smoothed Pseudo WV distributionAmbiguity FunctionsambifunbNarrow-band ambiguity functionambifuwbWide-band ambiguity functionPost-Processing or Help to the InterpretationfriedmanInstantaneous frequency densityholderEstimation of the Hlder exponent through an affine TFRhtlHough transform for detection of lines in imagesmargtfrMarginals and energy of a Time-Frequency representationmidpointMid-point construction used in the interference diagrammomftfrFrequency moments of a Time-Frequency representationmomttfrTime moments of a Time-Frequency representationplotsidSchematic interference diagram of FM signalsrenyiMeasure Renyi informationridgesExtraction of ridges from a reassigned TFRtfridealIdeal TFR for given frequency lawsVisualization and backupplotiflPlot normalized instantaneous frequency lawstfrparamReturn the paramaters needed to display (or save)
9 A TFRtfrqviewQuick visualization of a Time-Frequency representationtfrsaveSave the parameters of a Time-Frequency representationtfrviewVisualization of Time-Frequency representations8 F. Auger, P. Flandrin, P. Gonc alv`es, O. LemoineOtherdisprogDisplay the progression of a loopdividerFind dividers of an integer, closest from the square root of the integerdwindowDerive a windowintegApproximate an integralinteg2dApproximate a 2-D integralizakInverse Zak transformkaytthComputation of the Kay-Tretter filtermoduloCongruence of a vectormovcw4atFour atoms rotating, analyzed by the Choi-Williams distributionmovpwdphInfluence of a phase-shift on the interferences of the PWVD movpwjphInfluence of a jump of phase on the interferences of the PWVD movsc2wvMovie illustrating the passage from the scalogram to the WVDmovsp2wvMovie illustrating the passage from the spectrogram to the WVDmovwv2atOscillating structure of the interferences of the WVDoddRound towards nearest odd valuezakZak transformTime- frequency Toolbox Reference Guide, October 26, 200510 F.
10 Auger, P. Flandrin, P. Gonc alv`es, O. LemoineContentsReference Guide5 Tables ..5altes ..15ambifunb ..16ambifuwb ..18amexpo1s ..20amexpo2s ..21amgauss ..22amrect ..23amtriang ..24anaask ..25anabpsk ..26anafsk ..27anapulse ..28anaqpsk ..29anasing ..30anastep ..31atoms ..32disprog ..33divider ..34dopnoise ..35doppler ..37dwindow ..39fmconst ..40fmhyp ..41fmlin ..42fmodany ..43fmpar ..44fmpower ..45fmsin ..46fmt ..47friedman ..4911gdpower ..51holder ..53htl ..55ifestar2 ..57ifmt ..59instfreq ..60integ ..62integ2d ..63izak ..64kaytth ..65klauder ..66locfreq ..67loctime ..68margtfr.
