All-pole modeling is a widely used formant estimation method, but its performance is known to deteriorate for high-pitched voices. In order to address this problem, several all-pole modeling methods robust to fundamental frequency have been proposed. This study compares five such previously known methods and introduces a technique, Weighted Linear Prediction with Attenuated Main Excitation (WLP-AME). WLP-AME utilizes temporally weighted linear prediction (LP) in which the square of the prediction error is multiplied by a given parametric weighting function. The weighting downgrades the contribution of the main excitation of the vocal tract in optimizing the filter coefficients. Consequently, the resulting all-pole model is affected more by the characteristics of the vocal tract leading to less biased formant estimates. By using synthetic vowels created with a physical modeling approach, the results showed that WLP-AME yields improved formant frequencies for high-pitched sounds in comparison to the previously known methods (e.g., relative error in the first formant of the vowel [a] decreased from 11% to 3% when conventional LP was replaced with WLP-AME). Experiments conducted on natural vowels indicate that the formants detected by WLP-AME changed in a more regular manner between repetitions of different pitch than those computed by conventional LP.
REFERENCES
1.
Alku
, P.
, Airas
, M.
, Björkner
, E.
, and Sundberg
, J.
(2006
). “An amplitude quotient based method to analyze changes in the shape of the glottal pulse in the regulation of vocal intensity
,” J. Acoust. Soc. Am.
120
, 1052
–1062
.2.
Alku
, P.
, Magi
, C.
, Yrttiaho
, S.
, Bäckström
, T.
, and Story
, B.
(2009
). “Closed phase covariance analysis based on constrained linear prediction for glottal inverse filtering
,” J. Acoust. Soc. Am.
120
, 3289
–3305
.3.
Alku
, P.
, and Vilkman
, E.
(1996
). “A comparison of glottal voice source quantification parameters in breathy, normal, and pressed phonation of female and male speakers
,” Folia Phoniatr. Logop.
48
, 240
–254
.4.
Baayen
, R.
, Davidson
, D.
, and Bates
, D.
(2008
). “Mixed-effects modeling with crossed random effects for subjects and items
,” J. Mem. Lang.
59
, 390
–412
.5.
Deng
, L.
, Lee
, L.
, Attias
, H.
, and Acero
, A.
(2007
). “Adaptive Kalman filtering and smoothing for tracking vocal tract resonances using a continuous-valued hidden dynamic model
,” IEEE Trans. Audio Speech Lang. Process.
15
, 13
–23
.6.
El-Jaroudi
, A.
, and Makhoul
, J.
(1991
). “Discrete all-pole modeling
,” IEEE Trans. Signal Process.
39
, 411
–423
.7.
8.
Fant
, G.
, Liljencrants
, J.
, and Lin
, Q.
(1985
). “A four-parameter model of glottal flow
,” STL-QPSR 4
(Speech, Music and Hearing, Royal Institute of Technology
, Stockholm, Sweden
), pp. 1
–13
.9.
Fröhlich
, M.
, Michaelis
, D.
, and Strube
, H.
(2001
). “SIM—Simultaneous inverse filtering and matching of a glottal flow model for acoustic speech signals
,” J. Acoust. Soc. Am.
110
, 479
–488
.10.
Gobl
, C.
(1989
). “A preliminary study of acoustic voice quality correlates
,” STL-QPSR 4
(Speech, Music and Hearing, Royal Institute of Technology
, Stockholm, Sweden
), pp. 9
–22
.11.
Gold
, B.
, and Rabiner
, L.
(1968
). “Analysis of digital and analog formant synthesizers
,” IEEE Trans. Audio Electroacoust.
16
, 81
–94
.12.
Golub
, G.
, and Van Loan
, C.
(1983
). Matrix Computation
(Johns Hopkins University Press
, Baltimore, MD
), p. 55
.13.
Hagiwara
, R.
(1997
). “Dialect variation and formant frequency: The American English vowels revisited
,” J. Acoust. Soc. Am.
102
, 655
–658
.14.
Hermansky
, H.
, Fujisaki
, H.
, and Sato
, Y.
(1984
). “Spectral envelope sampling and interpolation in linear predictive analysis of speech
,” in Proceedings of the International Conference on Acoustics, Speech and Signal Processing
, San Diego, CA, pp. 2.2.1–2.2.4.15.
Hillenbrand
, J.
, Getty
, L.
, Clark
, M.
, and Wheeler
, K.
(1995
). “Acoustic characteristics of American English vowels
,” J. Acoust. Soc. Am.
97
, 3099
–3111
.16.
Holmberg
, E.
, Hillman
, R.
, and Perkell
, J.
(1988
). “Glottal airflow and transglottal air pressure measurements for male and female speakers in soft, normal, and loud voice
,” J. Acoust. Soc. Am.
84
, 511
–529
.17.
Krishnamurthy
, A.
, and Childers
, D.
(1986
). “Two-channel speech analysis
,” IEEE Trans. Acoust. Speech Signal Process.
34
, 730
–743
.18.
Lee
, C.-H.
(1988
). “On robust linear prediction of speech
,” IEEE Trans. Acoust. Speech Signal Process.
36
, 642
–650
.19.
Liljencrants
, J.
(1985
). “Speech synthesis with a reflection-type line analog
,” DS dissertation, Dep. of Speech Comm. and Music Acoustics, Royal Inst. of Technol
., Stockholm
, Sweden
, pp. 1
–125
.20.
Ma
, C.
, Kamp
, Y.
, and Willems
, L.
(1993
). “Robust signal selection for linear prediction analysis of voice speech
,” Speech Commun.
12
, 69
–81
.21.
Magi
, C.
, Pohjalainen
, J.
, Bäckström
, T.
, and Alku
, P.
(2009
). “Stabilised weighted linear prediction
,” Speech Commun.
51
, 401
–411
.22.
Makhoul
, J.
(1975a
). “Linear prediction: A tutorial review
,” Proc. IEEE
63
, 561
–580
.23.
Makhoul
, J.
(1975b
). “Spectral linear prediction: Properties and applications
,” IEEE Trans. Acoust. Speech Signal Process.
23
, 283
–296
.24.
Markel
, J.
, and Gray
, A.
, Jr. (1976
). Linear Prediction of Speech
(Springer-Verlag
, Berlin
), pp. 1
–288
.25.
Miyoshi
, Y.
, Yamato
, K.
, Mizoguchi
, R.
, Yanagida
, M.
, and Kakusho
, O.
(1987
). “Analysis of speech signals of short pitch period by a sample-selective linear prediction
,” IEEE Trans. Acoust. Speech Signal Process.
35
, 1233
–1240
.26.
Murthy
, P. S.
, and Yegnanarayana
, B.
(1999
). “Robustness of group-delay-based method for extraction of significant instants of excitation from speech signals
,” IEEE Trans. Speech Audio Process.
7
, 609
–619
.27.
Naylor
, P.
, Kounoudes
, A.
, Gudnason
, J.
, and Brookes
, M.
(2007
). “Estimation of glottal closure instants in voiced speech using the DYPSA algorithm
,” IEEE Trans. Speech Audio Process.
15
, 34
–43
.28.
Olive
, J.
(1971
). “Automatic formant tracking by a Newton-Raphson technique
,” J. Acoust. Soc. Am.
50
, 661
–670
.29.
Oppenheim
, A.
, and Schafer
, R.
(1989
). Discrete-Time Signal Processing
(Prentice-Hall
, Englewood Cliffs, NJ)
, pp. 33
–39
.30.
Plumpe
, M.
, Quatieri
, T.
, and Reynolds
, D.
(1999
). “Modeling of the glottal flow derivative waveform with application to speaker identification
,” IEEE Trans. Speech Audio Process.
7
, 569
–586
.31.
Potamianos
, A.
, and Maragos
, P.
(1996
). “Speech formant frequency and bandwidth tracking using multiband energy demodulation
,” J. Acoust. Soc. Am.
99
, 3795
–3806
.32.
Rabiner
, L.
, and Schafer
, R.
(1978
). Digital Processing of Speech Signals
(Prentice-Hall
, Englewood Cliffs, NJ
), Chap. 8, pp. 403
–404
.33.
Rahman
, S.
, and Shimamura
, T.
(2007
). “Linear prediction using refined autocorrelation function
,” EURASIP J. Audio Speech Music Process.
45962
, 1
–9
.34.
R Development Core Team
(2009
). A Language and Environment for Statistical Computing
(R Foundation for Statistical Computing
, Vienna, Austria
), pp. 1
–409
.35.
Rudoy
, D.
, Quatieri
, T.
, and Wolfe
, P.
(2011
). “Time-varying autoregressions in speech: Detection theory and applications
,” IEEE Trans. Audio Speech Lang. Process.
19
, 977
–989
.36.
Saeidi
, R.
, Pohjalainen
, J.
, Kinnunen
, T.
, and Alku
, P.
(2010
). “Temporally weighted linear prediction features for tackling additive noise in speaker verification
,” IEEE Signal Process. Lett.
17
, 599
–602
.37.
Schnell
, K.
, and Lacroix
, A.
(2008
). “Time-varying linear prediction for speech analysis and synthesis
,” in Proceedings of the International Conference on Acoustics, Speech and Signal Processing
, Las Vegas, Nevada, USA, pp. 3941
–3944
.38.
Shiga
, Y.
, and King
, S.
(2003
). “Estimating the spectral envelope of voiced speech using multi-frame analysis
,” in Proceedings of Interspeech
, Geneva, Switzerland
, pp. 1737
–1740
.39.
Story
, B.
(1995
). “Speech simulation with an enhanced wave-reflection model of the vocal tract
,” Ph.D. thesis, University of Iowa
, Iowa City, pp. 1
–352
.40.
Story
, B.
(2005
). “Synergistic modes of vocal tract articulation for American English vowels
,” J. Acoust. Soc. Am.
118
, 3834
–3859
.41.
Story
, B.
(2006
). “A technique for ‘tuning’ vocal tract area functions based on acoustic sensitivity functions
,” J. Acoust. Soc. Am.
119
, 715
–718
.42.
Story
, B.
(2008
). “Comparison of magnetic resonance imaging-based vocal tract area functions obtained from the same speaker in 1994 and 2002
,” J. Acoust. Soc. Am.
123
, 327
–335
.43.
Story
, B.
(2013
). “Phrase-level speech simulation with an airway modulation model of speech production
,” Comp. Speech Lang.
27
, 989
–1010
.44.
Strube
, H.
(1974
). “Determination of the instant of glottal closure from the speech wave
,” J. Acoust. Soc. Am.
56
, 1625
–1629
.45.
Titze
, I.
(1984
). “Parameterization of the glottal area, glottal flow, and vocal fold contact area
,” J. Acoust. Soc. Am.
75
, 570
–580
.46.
Titze
, I.
(2002
). “Regulating glottal airflow in phonation: Application of the maximum power transfer theorem to a low dimensional phonation model
,” J. Acoust. Soc. Am.
111
, 367
–376
.47.
Titze
, I.
(2006
). The Myoelastic Aerodynamic Theory of Phonation
(National Center for Voice and Speech
, Iowa City, IA
), pp. 1
–430
.48.
Vallabha
, G.
, and Tuller
, B.
(2002
). “Systematic errors in the formant analysis of steady-state vowels
,” Speech Commun.
38
, 141
–160
.49.
Wang
, T.
, and Quatieri
, T.
(2010
). “High-pitch formant estimation by exploiting temporal change of pitch
,” IEEE Trans. Audio, Speech, Lang. Process.
18
, 171
–186
.50.
Wong
, D.
, Markel
, J.
, and Gray
, A.
, Jr. (1979
). “Least squares glottal inverse filtering from the acoustic speech waveform
,” IEEE Trans. Acoust. Speech Signal Process.
27
, 350
–355
.51.
Yegnanarayana
, B.
, and Veldhuis
, N.
(1998
). “Extraction of vocal-tract system characteristics from speech signals
,” IEEE Trans. Speech Audio Process.
6
, 313
–327
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