Short-Term Sinusoidal Modeling of an Oriental Music Signal by Using CQT Transform

Abstract

In this paper, we propose a method for characterizing a musical signal by extracting a set of harmonic descriptors reflecting the maximum information contained in this signal. We focus our study on a signal of oriental music characterized by its richness in tone that can be extended to 1/4 tone, taking into account the frequency and time characteristics of this type of music. To do so, the original signal is slotted and analyzed on a window of short duration. This signal is viewed as the result of a combined modulation of amplitude and frequency. For this result, we apply short-term the non-stationary sinusoidal modeling technique. In each segment, the signal is represented by a set of sinusoids characterized by their intrinsic parameters: amplitudes, frequencies and phases. The modeling approach adopted is closely related to the slot window; therefore great importance is devoted to the study and the choice of the kind of the window and its width. It must be of variable length in order to get better results in the practical implementation of our method. For this purpose, evaluation tests were carried out by synthesizing the signal from the estimated parameters. Interesting results have been identified concerning the comparison of the synthesized signal with the original signal.

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L. Bahatti, M. Zazoui, O. Bouattane and A. Rebbani, "Short-Term Sinusoidal Modeling of an Oriental Music Signal by Using CQT Transform," Journal of Signal and Information Processing, Vol. 4 No. 1, 2013, pp. 51-56. doi: 10.4236/jsip.2013.41006.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] X. Serra, “Musical Sound Modeling with Sinusoids Plus Noise,” In: C. Roads, S. Pope, A. Picialli, G. De Poli, Eds., Musical Signal Processing, Swets & Zeitlinger Publishers, Lisse, 1997.
[2] M. A. J. O. Smith, “AM/FM Rate Estimation for Time-Varying Sinusoidal Modeling,” ICASSP 2005.
[3] M. Betser, “Modélisation Sinusoidale et Applications à l’Indexation Audio,” Thèse Doctorat, Telecom ParisTech, Laboratoire LTCI, 2008
[4] H. K. Kwok and D. L. Jones, “Improved Instantaneous Frequency Estimation Using an Adaptive Short-Time Fourier Transform,” IEEE Transactions on Signal Processing, Vol. 48, No. 10, 2000, pp. 2964-2972. doi:10.1109/78.869059
[5] B. Marzouki, “Application de l’Arithmétique et Des Groupes Cycliques à la Musique,” Département de Mathématiques et Informatique Faculté des Sciences, Oujda, 2010.
[6] J. C. Brown, “Calculation of a Constant Q Spectral Trans- form,” Journal Acoustical Society of America, Vol. 89, No. 1, 1991, pp. 425-434. doi:10.1121/1.400476
[7] S. Marchand, “Sound Models for Computer Music (Analysis, Transformation, Synthesis),” PhD Thesis, University of Bordeaux, Talence, 2000.
[8] C. de Villedary, K. Kodera and R. Gendrin, “A New Method for the Numerical Analysis of Time-Varying Signals with Small BT Values,” IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 26, No. 1, 1978, pp. 64-76. doi:10.1109/TASSP.1978.1163047
[9] S. Marchand and P. Depalle, “Generalization of the Derivative Analysis Method to Non-Stationary Sinusoidal Modeling,” Proceedings of the Digital Audio Effects (DAFx) Conference Digital Audio Effects (DAFx) Conference, Espoo Finlande, 2008, pp. 281-288.
[10] F. Auger and P. Flandrin, “Improving the Readability of Time-Frequency and Time-Scale Representations by the Reassignment Method,” IEEE Transactions on Signal Processing, Vol. 40, No. 5, 1993, pp. 1068-1089.
[11] S. W. Hainsworth, “Techniques for the Automated Analysis of Musical Audio,” Technical Report, 2003.
[12] B. Doval and X. Rodet, “Estimation of Fundamental Frequency of Musical Sound Signals,” International Conference on Acoustics, Speech, and Signal Processing, Toronto, 14-17 April 1991, pp. 3657-3660.

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