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Improving the readability of time-frequency and time-scale representations by the reassignment method

IEEE Transactions on Signal Processing · 1995 · Vol. 43(5) · pp. 1068–1089
François AugerPatrick Flandrin

Abstract

In this paper, the use of the reassignment method, first applied by Kodera, Gendrin, and de Villedary (1976) to the spectrogram, is generalized to any bilinear time-frequency or time-scale distribution. This method creates a modified version of a representation by moving its values away from where they are computed, so as to produce a better localization of the signal components. We first propose a new formulation of this method, followed by a thorough theoretical study of its characteristics. Its practical use for a large variety of known time-frequency and time-scale distributions is then addressed. Finally, some experimental results are reported to demonstrate the performance of this method.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Blind Source Separation TechniquesMachine Fault Diagnosis TechniquesImage and Signal Denoising MethodsSpectrogramTime–frequency analysisComputer scienceScale (ratio)Representation (politics)Variety (cybernetics)AlgorithmReadabilitySIGNAL (programming language)Signal processing
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References
Generalized Phase-Space Distribution Functions
Journal of Mathematical Physics · 1966 · 1,098 citations
The wavelet transform, time-frequency localization and signal analysis
IEEE Transactions on Information Theory · 1990 · 6,394 citations
Time-frequency distributions-a review
Proceedings of the IEEE · 1989 · 3,539 citations
On the Quantum Correction For Thermodynamic Equilibrium
Physical Review · 1932 · 9,003 citations
Zur Quantenmechanik
The European Physical Journal A · 1925 · 613 citations
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