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Abstract: This article introduces an original method that greatly improves Fourier analysis precision both in frequency and amplitude, but also in time, thus minimizing the problem of the trade-off of time versus frequency with the classical short-time Fourier transform. This method is of great interest for extracting spectral modeling parameters from existing sounds and, after a detailed theoretical presentation, practical results obtained from implementation are exposed at the end of this paper. (Update)
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BibTeX entry: (Update)
@misc{ desainte-catherine-high,
author = "Myriam Desainte-Catherine and Sylvain Marchand",
title = "High Precision Fourier Analysis of Sounds using Signal Derivatives",
url = "citeseer.ist.psu.edu/desainte-catherine98high.html" }
Citations (may not include all citations):72 the use of windows for harmonic analysis with the discrete F.. (context) - Harris - 1978
54 Discrete-Time Signal Processing (context) - Oppenheim, Schafer - 1989
28 Elements of Computer Music (context) - Moore - 1990
28 The Phase Vocoder: A Tutorial (context) - Dolson - 1986
19 Time-Frequency Representation of Digital Signals and Systems.. (context) - Portnoff
11 The Use of the Phase Vocoder in Computer Music Applications (context) - Moorer - 1978
11 Sinusoidal Modeling and Manipulation Using Lemur (context) - Fitz, Haken - 1996
10 An Exploration of Musical Timbre (context) - Grey - 1975
5 Signal Processing Aspects of Computer Music -- A Survey (context) - Moorer - 1977
5 and Modification by the Discrete Fourier Transform (context) - Allen, Analysis - 1977
5 Speech Analysis /Synthesis Based on a Sinusoidal Representat.. - McAulay, Quatieri - 1986
2 Harmony and Nonharmonic Partials (context) - Mathews, Pierce - 1980
1 Sons Multiphoniques aux Instruments `a Vent (context) - Castellengo - 1982
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