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CLC number: TN911.6

On-line Access: 2008-01-11

Received: 2007-06-22

Revision Accepted: 2007-09-19

Crosschecked: 0000-00-00

Cited: 2

Clicked: 3322

Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.2 P.199~206

http://doi.org/10.1631/jzus.A072140


Continuous frequency and phase spectrograms: a study of their 2D and 3D capabilities and application to musical signal analysis


Author(s):  Laurent NAVARRO, Guy COURBEBAISSE, Jean-Charles PINOLI

Affiliation(s):  Ecole Nationale Supé more

Corresponding email(s):   guy.courbebaisse@creatis.insa-lyon.fr

Key Words:  Frequency spectrogram (FS), Phase spectrogram (PS), Time-frequency representations, Musical signals


Laurent NAVARRO, Guy COURBEBAISSE, Jean-Charles PINOLI. Continuous frequency and phase spectrograms: a study of their 2D and 3D capabilities and application to musical signal analysis[J]. Journal of Zhejiang University Science A, 2008, 9(2): 199~206.

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%A Guy COURBEBAISSE
%A Jean-Charles PINOLI
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T1 - Continuous frequency and phase spectrograms: a study of their 2D and 3D capabilities and application to musical signal analysis
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EP - 206
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A072140


Abstract: 
A new lighting and enlargement on phase spectrogram (PS) and frequency spectrogram (FS) is presented in this paper. These representations result from the coupling of power spectrogram and short time Fourier transform (STFT). The main contribution is the construction of the 3D phase spectrogram (3DPS) and the 3D frequency spectrogram (3DFS). These new tools allow such specific test signals as small slope linear chirp, phase jump and small frequency jump to be analyzed. An application case of musical signal analysis is reported. The main objective is to detect small frequency and phase variations in order to characterize each type of sound attack without losing the amplitude information given by power spectrogram.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[4] Cohen, L., 1989. Time-frequency distributions—a review. Proc. IEEE, 77:941-981.

[5] Léonard, F., 2005. Phase spectrogram and frequency spectrogram as new diagnostic tools. Mechanical Systems and Signal Processing, 21:125-137.

[6] Oliveira, P.M., Barroso, V., 2000. Uncertainty in the time-frequency plane. Statistical Signal and Array Processing, 1:607-611.

[7] Oppenheim, A., Lim, J., 1981. The importance of phase in signals. Proc. IEEE, 69:529-541.

[8] Qian, S., Chen, D., 1996. Joint Time-Frequency Analysis: Methods and Applications. Prentice-Hall, Inc., Upper Saddle River, NJ, USA.

[9] Ville, J., 1948. Théorie et applications de la notion de signal analytique. Câbles et Transmissions, 1:61-74 (in French).

[10] Wu, F., Perio, P., 1979. La phase en acoustique musicale. I. Analyse d'un signal quasi-périodique. Journal de Physique, 40:799-810 (in French).

[11] Wu, F., Perio, P., 1981. La phase en acoustique musicale. II. Le rayonnement des instruments à vent. Journal de Physique, 42:627-633 (in French).

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