On pole-zero model estimation methods minimizing a logarithmic criterion for speech analysis

IEEE Transactions on Audio, Speech and Language Processing

Volumn 18, Issue 2, 2010, Pages 237-248

  Marelli, Damián ^a   Balazs, Peter ^b  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

Author keywords

Bark scale; Estimation; Iterative methods; Logarithmic arithmetic; Nasals; Numerator and denominator; Poles and zeroes; Speech analysis; Transfer functions

Indexed keywords

BARK SCALE; DENOMINATOR COEFFICIENTS; FORMANT TRACKING; FREQUENCY SCALE; LOGARITHMIC ARITHMETIC; MODEL ESTIMATION; NASALS; OPTIMIZATION CRITERIA; POLE AND ZERO; POLE-ZERO; SEARCH ALGORITHMS; SPEECH PRODUCTION; SPEECH SOUNDS; TIME VARYING FILTERS;

ESTIMATION; LEARNING ALGORITHMS; OPTIMIZATION; POLES; SPEECH ANALYSIS; SPEECH PROCESSING; TRANSFER FUNCTIONS;

ITERATIVE METHODS;

EID: 72949099498     PISSN: 15587916     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASL.2009.2025544     Document Type: Article

References (47)

1. L. Rabiner and R. Schafer, Digital Processing of Speech Signals. Englewood Cliffs, NJ: Prentice-Hall, 1978.
2. J. Markel and J. A. Gray, Linear Prediction of Speech. Berlin, Heidelberg, Germany: Springer-Verlag, 1976.
3. T. F. Quatieri, Discrete-Time Speech Signal Processing: Principles and Practice (Prentice Hall Signal Processing Series). Upper Saddle River, NJ: Prentice-Hall , 2001.
4. G. Fant, Acoustic Theory of Speech Production. The Hague, The Netherlands: Mouton, 1960.
5. E. Keller, Fundamentals of Speech Synthesis and Speech Recognition: Basic Concepts, State of the Art and Future Challenges. Chichester, U.K.: Wiley, 1984.
6. P. Rose, Forensic Speaker Identification. New York: Taylor & Francis, 2002.
7. F. Nolan, The Phonetic Bases of Speaker Recognition. Cambridge, U.K.: Cambridge Univ. Press, 1983.
8. M. Benzeghiba, R. D. Mori, O. Deroo, S. Dupont, T. Erbes, D. Jouvet, L. Fissore, P. Laface, A. Mertins, C. Ris, R. Rose, V. Tyagi, and C. Wellekens, "Automatic speech recognition and speech variability: A review," Speech Commun., vol.49, no.10-11, pp. 763-786, 2007.
9. B. Atal and M. Schroeder, "Predictive coding of speech signals," in Proc. 6th lnt. Congr. Acoust., 1968, pp. 13-16.
10. F. Itakura and S. Saito, "Analysis synthesis telephony based on the maximum likelihood method," in Proc. 6th Int. Congr. Acoust., 1968, pp. 17-20.
11. K. Johnson, Acoustic and Auditory Phonetics. Oxford, U.K.: Blackwell, 1997.
12. T. van Waterschoot and M. Moonen, "Linear prediction of audio signals," in Proc. Interspeech, Antwerp, Belgium, Aug. 2007, pp. 518-521.
13. H. Hermansky, "Perceptual linear predictive (PLP) analysis of speech," J. Acoust. Soc. Amer. vol.87, no.4, pp. 1738-1752, 1990 [Online]. Available: http://link.aip.org/link/?JAS/87/1738/1
14. E. Zwicker and E. Terhardt, "Analytical expressions for critical-band rate and critical bandwidth as a function of frequency," J. Acoust. Soc. Amer., vol.68, no.5, pp. 1523-1525, Nov. 1980.
15. R. McAulay and T. Quatieri, "Low-rate speech coding based on the sinusoidal model," in Advances in Speech Signal Processing, S. Furui and M. Sondhi, Eds. New York: Marcel Dekker, 1991, ch. 6, pp. 165-208.
16. L. R. Rabiner and B.-H. Juang, Fundamentals of Speech Recognition. Englewood Cliffs, NJ: Prentice-Hall, 1993.
17. J. Shanks, "Recursion filters for digital processing," Geophysics, vol.32, pp. 33-51, Feb. 1967.
18. J. Makhoul, "Linear prediction: A tutorial review," Proc. IEEE, vol.63, no.4, pp. 561-580, 1975.
19. R. Kalman, "Design of self-optimizing control system," Amer. Soc. Mech. Eng.-Papers, p. 10, 1957.
20. E. Levi, "Complex-curve fitting," IRE Trans. Autom. Control, vol.4, pp. 37-44, 1959.
21. C. Sanathanan and J. Koerner, "Transfer function synthesis as a ratio of two complex polynomials," IEEE Trans. Autom. Control, vol.8, no.1, pp. 56-58, Jan. 1963.
22. K. Steiglitz and L. McBride, "A technique for the identification of linear systems," IEEE Trans. Autom. Control, vol.AC-10, no.10, pp. 461-464, Oct. 1965.
23. K. Steiglitz, "On the simultaneous estimation of poles and zeros in speech analysis," IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-25, no.3, pp. 229-234, Jun. 1977.
24. C. Schmid, "Design of IIR/FIR filters using a frequency domain bootstrapping technique and LPC methods," IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-31, no.4, pp. 999-1006, Aug. 1983.
25. A. Whitfield, "Asymptotic behaviour of transfer function synthesis methods," Int. J. Control, vol.45, no.3, pp. 1083-1092, 1987.
26. K. Schnell and A. Lacroix, "Pole zero estimation from speech signals by an iterative procedure," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP'01), 2001, vol.1, pp. 109-112.
27. W. Hartmann, Signals, Sounds, and Sensation. New York: Springer, 1998.
28. J. Olive, "Automatic formant tracking by a Newton-Raphson technique," J. Acoust. Soc. Amer., vol.50, no.2, pp. 661-670, 1971.
29. T. Kobayashi and S. Imai, "Design of IIR digital filters with arbitrary log magnitude function by WLS techniques," IEEE Trans. Acoust., Speech, Signal Process., vol.38, no.2, pp. 247-252, Feb. 1990. (Pubitemid 20666466)
30. M. Blommer and G.Wakefield, "On the design of pole-zero approximations using a logarithmic error measure," IEEE Trans. Signal Process., vol.42, no.11, pp. 3245-3248, 1994.
31. M. Blommer and G. Wakefield, "Pole-zero approximations for headrelated transfer functions using a logarithmic error criterion," IEEE Trans. Speech Audio Process., vol.5, no.3, pp. 278-287, May 1997.
32. J. Derby, "Comments on "on the design of pole-zero approximations using a logarithmic error measure"," IEEE Trans. Signal Process., vol. 44, no. 7, pp. 1811-1113, Jul. 1996.
33. A. Kulkarni and H. Colburn, "Infinite-impulse-response models of the head-related transfer function," J. Acoust. Soc. Amer., vol.115, no.4, pp. 1714-1728, 2004.
34. J. Huopaniemi, N. Zacharov, and M. Karjalainen, "Objective and subjective evaluation of head-related transfer function filter design," J. Audio Eng. Soc., vol.47, no.4, pp. 218-239, 1999.
35. K. Song and C. Un, "Pole-zero modeling of speech based on high-order pole model fitting and decomposition method," IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-31, no.6, pp. 1556-1565, Dec. 1983.
36. P. Broersen, "Accurate ARMA models with Durbin's second method," in Proc. ICASSP, IEEE Int. Conf. Acoust., Speech, Signal Process., 1999, pp. 1597-1600.
37. G. Kopec, A. Oppenheim, and J. Tribolet, "Speech analysis by homomorphic prediction," IEEE Trans. Acoust., Speech, Signal Process., vol.25, no.1, pp. 40-49, Feb. 1977.
38. T. Galas and X. Rodet, "An Improved Cepstral Method for Deconvolution of Source-Filter Systems With Discrete Spectra: Application to Musical Sound Signals," in Proc. ICMC, Glasgow, U.K., 1990, pp. 82-84.
39. O. Cappe and E. Moulines, "Regularization techniques for discrete cepstrum estimation," IEEE Signal Process. Lett., vol.3, no.4, pp. 100-102, Apr. 1996.
40. H. Hermansky, H. Fujisaki, and Y. Sato, "Spectral envelope sampling and interpolation in linear predictive analysis of speech," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 1984, vol.9, pp. 53-56.
41. R. Pintelon, P. Guillaume, Y. R. J. Schoukens, and H. V. Hamme, "Parametric identification of transfer functions in the frequency domain- A survey," IEEE Trans. Autom. Control, vol.39, no.11, pp. 2245-2260, Nov. 1994.
42. R. Fletcher, Practical Methods of Optimization, ser. A Wiley-Interscience Publication, 2nd ed. Chichester, U.K.: Wiley, 1987.
43. J. Proakis and D. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1996.
44. G. Golub and C. V. Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
45. P. Ladefoged and I. Maddieson, The Sounds of the World's Languages. Oxford, U.K.: Blackwell, 1996.
46. K. N. Stevens, Acoustic Phonetics. Cambridge, MA: MIT Press, 1999.
47. D. Talkin, "A robust algorithm for pitch tracking (RAPT)," Speech Coding Synth., pp. 495-518, 1995.