Frequency-Zooming ARMA Modeling for Analysis of Noisy String Instrument Tones

Eurasip Journal on Applied Signal Processing

Volumn 2003, Issue 10, 2003, Pages 953-967

  Esquef, Paulo A A ^a   Karjalainen, Matti ^a   Välimäki, Vesa ^a,b  

^a AALTO UNIVERSITY   (Finland)

^b TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Acoustic signal processing; Computer music; Digital waveguide; Sound synthesis; Spectral analysis

Indexed keywords

COMPUTER MUSIC; MATHEMATICAL MODELS; MUSICAL INSTRUMENTS; REGRESSION ANALYSIS; WAVEGUIDES;

SOUND SYNTHESIS;

ACOUSTIC SIGNAL PROCESSING;

EID: 0141923378     PISSN: 11108657     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110865703304020     Document Type: Article

References (49)

1. A. H. Benade, Fundamentals of Musical Acoustics, Dover Publications, Mineola, NY, USA, 1990.
2. R. J. McAulay and T. F. Quatieri, "Speech analysis/synthesis based on a sinusoidal representation," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 34, no. 4, pp. 744-754, 1986.
3. J. O. Smith III and X. Serra, "PARSHL: An analysis/synthesis program for non-harmonic sounds based on a sinusoidal representation," in Proc. International Computer Music Conference (ICMC '87), Champaign-Urbana, Ill, USA, 1987.
4. R. C. Maher, "Sinewave additive synthesis revisited," in 91st AES Convention, New York, NY, USA, October 1991.
5. J. B. Allen and L. R. Rabiner, "A unified approach to short-time Fourier analysis and synthesis," Proceedings of the IEEE, vol. 65, no. 11, pp. 1558-1564, 1977.
6. H. S. Malvar, Signal Processing with Lapped Transforms, Artech House, Norwood, Mass, USA, 1992.
7. L. Ljung, System Identification: Theory for the User, Prentice-Hall, Upper Saddle River, NJ, USA, 2nd edition, 1999.
8. S. Haykin, Adaptive Filter Theory, Prentice-Hall, Upper Saddle River, NJ, USA, 3rd edition, 1996.
9. S. M. Kay, Modern Spectral Estimation, Prentice-Hall, Englewood Cliffs, NJ, USA, 1988.
10. A. V. Oppenheim, A. Willsky, and I. Young, Signals and Systems, Prentice-Hall, Englewood Cliffs, NJ, USA, 1983.
11. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, Englewood Cliffs, NJ, USA, 1993.
12. M. H. Hayes, Statistical Digital Signal Processing and Modeling, John Wiley & Sons, New York, NY, USA, 1996.
13. J. Makhoul, "Linear prediction: a tutorial review," Proceedings of the IEEE, vol. 63, no. 4, pp. 561-580, 1975.
14. J. Laroche, "A new analysis/synthesis system of musical signals using Prony's method. Application to heavily damped percussive sounds," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 3, pp. 2053-2056, Glasgow, Scotland, UK, May 1989.
15. J. Laroche and J.-L. Meillier, "Multichannel excitation/filter modeling of percussive sounds with application to the piano," IEEE Trans. Speech, and Audio Processing, vol. 2, no. 2, pp. 329-344, 1994.
16. M. W. Macon, A. McCree, W.-M. Lai, and V. Viswanathan, "Efficient analysis/synthesis of percussion musical instrument sounds using an all-pole model," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 6, pp. 3589-3592, Seattle, Wash, USA, May 1998.
17. J. O. Smith III, "Efficient synthesis of stringed musical instruments," in Proc. International Computer Music Conference (ICMC '93), pp. 64-71, Tokyo, Japan, September 1993.
18. M. Karjalainen, V. Välimäki, and Z. Jánosy, "Towards high-quality sound synthesis of the guitar and string instruments," in Proc. International Computer Music Conference (ICMC '93), pp. 56-63, Tokyo, Japan, September 1993.
19. J. Makhoul, "Spectral linear prediction: Properties and applications," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 23, no. 3, pp. 283-296, 1975.
20. J. Laroche, "The use of the matrix pencil method for the spectrum analysis of musical signals," Journal of the Acoustical Society of America, vol. 94, no. 4, pp. 1958-1965, 1993.
21. L. W. P. Biscainho, P. S. R. Diniz, and P. A. A. Esquef, "ARMA processes in sub-bands with application to audio restoration," in Proc. IEEE Int. Symp. Circuits and Systems, vol. 2, pp. 157-160, Sydney, Australia, May 2001.
22. R. Roy, A. Paulraj, and T. Kailath, "ESPRIT - a subspace rotation approach to estimation of parameters of cisoids in noise," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 34, no. 5, pp. 1340-1342, 1986.
23. M. Karjalainen, P. A. A. Esquef, P. Antsalo, A. Mäkivirta, and V. Välimäki, "Frequency-zooming ARMA modeling of resonant and reverberant systems," Journal of the Audio Engineering Society, vol. 50, no. 12, pp. 1012-1029, 2002.
24. J. Laroche and J.-L. Meillier, "A simplified source/filter model for percussive sounds," in IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, pp. 173-176, New York, NY, USA, October 1993.
25. R. B. Sussman and M. Kahrs, "Analysis and resynthesis of musical instrument sounds using energy separation," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 2, pp. 997-1000, Atlanta, Ga, USA, May 1996.
26. C. Erkut, V. Välimäki, M. Karjalainen, and M. Laurson, "Extraction of physical and expressive parameters for model-based sound synthesis of the classical guitar," in 108th AES Convention, Paris, France, February 2000, preprint 5114. Available on-line at http://lib.hut.fi/Diss/2002/isbn9512261901/.
27. P. A. A. Esquef, V. Välimäki, and M. Karjalainen, "Restoration and enhancement of solo guitar recordings based on sound source modeling," Journal of the Audio Engineering Society, vol. 50, no. 4, pp. 227-236, 2002.
28. V. Välimäki, J. Huopaniemi, M. Karjalainen, and Z. Jánosy, "Physical modeling of plucked string instruments with application to real-time sound synthesis," Journal of the Audio Engineering Society, vol. 44, no. 5, pp. 331-353, 1996.
29. MathWorks, "MATLAB System Identification Toolbox," 2001, User's Guide.
30. K. Steiglitz and L. E. McBride, "A technique for the identification of linear systems," IEEE Trans. Automatic Control, vol. 10, no. 4, pp. 461-464, 1965.
31. K. Steiglitz, "On the simultaneous estimation of poles and zeros in speech analysis," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 25, no. 3, pp. 229-234, 1977.
32. MathWorks, "MATLAB Signal Processing Toolbox," 2001, User's Guide.
33. J. O. Smith III, Techniques for digital filter design and system identification with application to the violin, Ph.D. thesis, Elec. Eng. Dept., Stanford University, Stanford, Calif, USA, 1983.
34. J. O. Smith III, "Physical modeling using digital waveguides," Computer Music Journal, vol. 16, no. 4, pp. 74-91, 1992.
35. M. Karjalainen and J. O. Smith III, "Body modeling techniques for string instrument synthesis," in Proc. International Computer Music Conference (ICMC '96), pp. 232-239, Hong Kong, China, August 1996.
36. M. Sandler, "Analysis and synthesis of atonal percussion using high order linear predictive coding," Applied Acoustics, vol. 30, no. 2-3, pp. 247-264, 1990.
37. J.-L. Meillier and A. Chaigne, "AR modeling of musical transients," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, pp. 3649-3652, Toronto, Canada, April 1991.
38. G. Weinreich, "Coupled piano strings," Journal of the Acoustical Society of America, vol. 62, no. 6, pp. 1474-1484, 1977.
39. M. Sandler, "Algorithm for high precision root finding from high order LPC models," IEE Proceedings. Part I: Communications, Speech and Vision, vol. 138, no. 6, pp. 596-602, 1991.
40. P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, Englewood Cliffs, NJ, USA, 1993.
41. K. B. Eom and R. Chellappa, "ARMA processes in multirate filter banks with applications to radar signal classification," in Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, pp. 136-139, Philadelphia, Pa, USA, October 1994.
42. A. Benyassine and A. N. Akansu, "Subspectral modeling in filter banks," IEEE Trans. Signal Processing, vol. 43, no. 12, pp. 3050-3053, 1995.
43. T. Tolonen and M. Karjalainen, "A computationally efficient multipitch analysis model," IEEE Trans. Speech, and Audio Processing, vol. 8, no. 6, pp. 708-716, 2000.
44. D. A. Jaffe and J. O. Smith III, "Extensions of the Karplus-Strong plucked-string algorithm," Computer Music Journal, vol. 7, no. 2, pp. 56-69, 1983.
45. Y. Hua and T. K. Sarkar, "Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 38, no. 5, pp. 814-824, 1990.
46. B. Bank, "Physics-based sound synthesis of the piano," Tech. Rep. 54, Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology, Espoo, Finland, June 2000, available on-line at http://www.acoustics.hut.fi/publications/.
47. B. Bank and V. Välimäki, "Robust loss filter design for digital waveguide synthesis of string tones," IEEE Signal Processing Letters, vol. 10, no. 1, pp. 10-20, 2003.
48. D. Rocchesso and F. Scalcon, "Accurate dispersion simulation for piano strings," in Proc. Nordic Acoustical Meeting (NAM '96), pp. 407-414, Helsinki, Finland, June 1996.
49. L. Trautmann, B. Bank, V. Välimäki, and R. Rabenstein, "Combining digital waveguide and functional transformation methods for physical modeling of musical instruments," in Proc. AES 22nd International Conference on Virtual, Synthetic and Entertainment Audio, pp. 307-316, Espoo, Finland, June 2002.