Time-frequency reassignment is a relatively old but under-explored method for time frequency analysis. This report reviews previous research on reassignment and relates it to instantaneous frequency in an explicit and novel way. New measures based on reassignment of the amplitude spectrum, as opposed to the traditional phase spectrum, are proposed and analysed. The statistical properties of reassignment as a sinusoidal estimator are compared with the Cramer-Rao bound and finally some applications of reassignment in the field of musical analysis are proposed.
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107
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On the quantum correction for thermodynamic equilibrium
– Wigner
- 1932
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89
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Musical Sound Modeling With Sinusoids Plus Noise
– Serra
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47
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A real-time music-scene-description system: predominant-F0 estimation for detecting melody and bass lines in real-world audio signals
– Goto
- 2004
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38
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Improving the readability of timefrequency and time-scale representations by the method of reassigment
– Auger, Flandrin
- 1995
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38
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Théorie et Applications de la Notion de Signal Analytique, Cables et Transmission
– Ville
- 1948
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35
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Phase vocoder
– Flanagan, Golden
- 1966
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35
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Single tone parameter estimation from discrete-time observations
– Rife, Boorstyn
- 1974
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33
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Generalized phase-space distribution functions
– Cohen
- 1966
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29
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A high resolution fundamental frequency determination based on phase changes of the Fourier transform
– Brown, Puckette
- 1993
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21
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Joint Bayesian model selection and estimation of noisy sinusoids via reversible jump MCMC. MCMC Preprint Service
– Andrieu, Doucet
- 2000
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15
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SINOLA: A new analysis/synthesis method using spectrum peak shape distortion, phase and reassigned spectrum
– Peeters, Rodet
- 1999
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14
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Transient preservation under transformation in an additive sound model
– Fitz, Haken, et al.
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13
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Robust pitch estimation with harmonics enhancement in noisy environments based on instantaneous frequency
– Abe, Kobayashi, et al.
- 1996
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13
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de Villedary, “Analysis of time-varying signals with small BT values
– Kodera, Gendrin, et al.
- 1978
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13
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Improvment of speech spectrogram accuracy by the method of reassignment
– Plante, Meyer, et al.
- 1998
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11
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eld, \A high resolution time-frequency representation for musical instrument signals
– Pielemeier, Wake
- 1996
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10
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Extraction of musical performance parameters from audio data
– Dixon
- 2000
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10
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Onset Detection in Musical Audio Signals
– Hainsworth, Macleod
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8
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Supervised time-frequency reassignment
– Chassande-Mottin, Auger, et al.
- 1996
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8
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Survey on extraction of sinusoids in stationary sounds
– Keiler, Marchand
- 2002
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7
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Instantaneous-frequency distribution vs time: an interpretation of the phase structure of speech
– Friedman
- 1985
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7
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Analysis of reassigned spectrograms for musical transcription
– Hainsworth, Macleod, et al.
- 2001
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7
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Estimating frequency by interpolation using Fourier coefficients
– Quinn
- 1994
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6
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Automatic bass line transcription from polyphonic music
– Hainsworth, Macleod
- 2001
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6
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Extracting sinusoids from harmonic signals
– Keiler, Zölzer
- 2001
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6
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Non-stationary analysis/synthesis using spectrum peak shape distortion, phase and reassignment
– Peeters, Rodet
- 1999
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5
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Interpolation algorithms for discrete Fourier transforms of weighted signals
– Grandke
- 1983
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5
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A new method for the numerical analysis of nonstationary signals
– Kodera, Villedary, et al.
- 1976
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5
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Fast nearly ML estimation of the parameters of real or complex single tones or resolved multiple tones
– Macleod
- 1998
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4
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Differential reassignment
– Chassande-Mottin, Daubechies, et al.
- 1997
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4
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Improving spectral precision with an enhanced phase vocoder using signal derivatives
– Marchand
- 1998
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4
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Formant tracking using reassigned spectrum
– Plante, Ainsworth
- 1995
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3
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Time-varying higher-order spectra, generalised Wigner-Ville distribution and the analysis of underwater acoustic data
– Boashash, Frazer
- 1992
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3
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detection using the short-term phase spectrum
– Pitch
- 1986
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3
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Méthodes de réallocation dans le plan temps-fréquence pour l’analyse et le traitment de signaux non stationnaires
– Chassande-Mottin
- 1998
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3
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On the statistics of spectrogram reassignment
– Chassande-Mottin, Auger, et al.
- 1998
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3
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Time-Frequency/Time-Scale Analysis. Wavelet Analysis and Its Applications
– Flandrin
- 1999
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3
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On sinusoidal parameter estimation
– Hainsworth, Macleod
- 2003
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3
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High resolution nearly-ML estimation of sinusoids in noise using a fast frequency domain approach
– Macleod
- 1998
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3
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Instantaneous frequency estimation using the reassignment method
– Odegard, Baraniuk, et al.
- 1998
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3
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Estimation of frequency, amplitude and phase from the DFT of a time series
– Quinn
- 1997
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3
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Signal separation of musical instruments: 1st year
– Walmsley
- 1997
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2
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Generalization of the reassignment method to all bilinear time-frequency and time-scale representations
– Auger, Flandrin
- 1994
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2
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Time-frequency toolbox for matlab. available on-line at http://crttsn.univ-nantes.fr/ auger/tftbftp.html
– Auger, Flandrin, et al.
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2
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Statistique des vecteurs de reallocation du spectrogramme
– Chassande-Mottin, Auger, et al.
- 1996
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2
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Fast fourier reassignment. Unpublished; personal communication
– Rivaz
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2
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Edge localized image sharpening via reassignment with application to computer tomography
– Dorney, Bhashyam, et al.
- 2000
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2
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Instantaneous frequency estimation: Bayesian approaches verses reassignment - application to gravitational waves
– Duvaut, Doucet, et al.
- 1996
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2
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High-accuracy analogue measurements via interpolated FFT
– Jain, Collins, et al.
- 1979
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2
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Joint recursive implementation of time-frequency representations and their modified version by the reassignment method
– Richard, Lengellé
- 1997
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