Abstract
This paper improves the performance of linear prediction (LP) in precise spectral estimation of bone-conducted (BC) speech. Inherently, BC speech contains a wide spectral dynamic range that causes ill conditioning in the autocorrelation (ACR) method and its variants, where the Levinson–Durbin (L–D) algorithm is commonly implemented. Instead of the conventional LP-based spectral estimation methods, we utilize the covariance-based method, specifically the modified covariance (MC) method, where the orthogonal decomposition algorithm is deployed. In this paper, we derive the MC method from the least squares (LS) technique for BC speech analysis. The MC method reduces the eigenvalue expansion that compresses the spectral dynamic range of the BC speech signal. The effect of spectral dynamic range compression declines the ill-conditioned properties of LP. Through the proposed method using synthetic BC speech, the resulting power spectrum provides more accurate peaks than the conventional methods. The validity of the proposed method is also analyzed by inspecting real BC speech. This study reveals the utmost use of BC speech in speech processing systems. The experimental results demonstrate that the proposed method provides more accurate spectral estimation for synthetic and real BC speeches compared with conventional spectral estimation methods.













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References
Amino, K., Osanai, T., Kamada, T., Makinae, H., & Arai, T. (2011). Effects of the phonological contents and transmission channels on forensic speaker recognition. In A. Neustein & H. A. Patil (Eds.), Forensic speaker recognition: Law enforcement and counter-terrorism (pp. 275–308). Springer.
Cuevas, A., Lopez, S., Mandic, D., & Tobar, F. (2021). Bayesian autoregressive spectral estimation. In Proceedings of the IEEE Latin American conference on computational intelligence (LA-CCI), 2–4 November 2021, Temuco, Chile.
Gowda, D., Airaksinen, M., & Alku, P. (2017). Quasi-closed phase forward-backward linear prediction analysis of speech for accurate formant detection and estimation. The Journal of the Acoustical Society of America, 142(3), 1542–1553.
Haykin, S. (2002). Adaptive filter theory. Prentice-Hall.
Kabal, P. (2003). Ill-conditioning and bandwidth expansion in linear prediction of speech. In Proceedings of the IEEE international conference on acoustics, speech, and signal processing (ICASSP), (pp. 824–827), 6–10 April 2003, Hong Kong, China.
Kay, S. M. (1988). Modern spectral estimation: Theory and application. Prentice-Hall.
Kay, S. M., & Marple, L. (1979). Sources of and remedies for spectral line splitting in autoregressive spectrum analysis. In Proceedings of the IEEE international conference on acoustics, speech, signal processing, (pp. 151–154), 2–4 April 1979, Washington, DC, USA.
Kay, S. M., & Marple, S. L. (1981). Spectrum analysis—A modern perspective. Proceedings of the IEEE, 69(11), 1380–1419.
Makhoul, J. (1973). Spectral analysis of speech by linear prediction. IEEE Transactions on Audio and Electroacoustics, 1973(21), 140–148.
Makhoul, J. (1975). Linear prediction: A tutorial review. Proceedings of the IEEE, 63, 561–580.
Makhoul, J., & Wolf, J. J. (1972). Linear prediction and the spectral analysis of speech. Technical report, 2304. Bolt, Beranek, and Newman Inc.
Marple, L. (1980). A new autoregressive spectrum analysis algorithm. IEEE Transactions on Acoustics, Speech, and Signal Processing, 28, 441–454.
Marple, S. L. (1987). Digital spectral analysis with applications. Prentice-Hall.
Marple, S. L. (1989). A tutorial overview of modern spectral estimation. In Proceedings of the international conference on acoustics, speech, and signal processing, (Vol. 4, pp. 2152–2157), 23–26 May 1989, Glasgow, UK.
Marple, S. L. (1991). A fast computational algorithm for the modified covariance method of linear prediction. Digital Signal Processing, 1(3), 124–133.
Mataracıoglu, T., & Tatar, U. (2007). Spectral estimation methods: Comparison and performance analysis on a steganalysis application. In Proceedings of the 2nd international information security and cryptology conference, 2–3 December 2007, Ankara, Turkey.
Nikias, C. L., & Scott, P. D. (1981). Improved spectral resolution by energy-weighted prediction method. In Proceedings of the IEEE international conference on acoustics, speech, and signal processing, (Vol. 2, pp. 496–499), 30 March–1 April 1981, Atlanta, GA, USA.
Nikias, C. L., & Scott, P. D. (1983). The covariance least-squares algorithm for spectral estimation of processes of short data length. IEEE Transactions on Geoscience and Remote Sensing, GE–21(2), 180–190.
Ohidujjaman, Sugiura, Y., Yasui, N., Shimamura, T., & Makinae, H. (2024). Regularized modified covariance method for spectral analysis of bone-conducted speech. Journal of Signal Processing,28(3), 77–87.
Ohidujjaman, Yasui, N., Sugiura, Y., Shimamura, T., & Makinae, H. (2023). Packet loss compensation for VoIP through bone-conducted speech using modified linear prediction. IEEJ Transactions on Electrical and Electronic Engineering (TEEE), 18(11), 1781–1790.
O’Shaughnessy, D. (2023). Review of analysis methods for speech applications. Speech Communication, 151, 64–75.
Paliwal, K. K., & Rao, P. V. S. (1981). A modified autocorrelation method of linear prediction for pitch-synchronous analysis of voiced speech. Signal Processing, 3(2), 181–185.
Rabiner, L. R., & Schafer, R. W. (2011). Theory and application of digital speech processing. Prentice-Hall.
Rahman, M. S., & Shimamura, T. (2016). Pitch determination from bone conducted speech. IEICE Transactions on Information and Systems, E99–D(1), 283–287.
Rahman, M. A., & Shimamura, T. (2018). Linear-prediction-based accurate spectrum estimation with pitch extension for bone-conducted speech. Journal of Signal Processing, 22(6), 277–286.
Rahman, M. A., Sugiura, Y., & Shimamura, T. (2017a). Spectrum compensation method for speech signals based on prediction error filtering. WSEAS Transactions on Systems and Control, 12, 213–220.
Rahman, M. A., Sugiura, Y., & Shimamura, T. (2017b). Accurate power spectrum estimation of speech with spectrum compensation based on prediction error filtering. WSEAS Transactions on Signal Processing, 13, 21–25.
Scott, P. D., & Nikias, C. L. (1982). Energy-weighted linear predictive spectral estimation: A new method combining robustness and high resolution. Transactions on Acoustics, Speech, and Signal Processing, 30(2), 287–293.
Spanias, A. S. (1993). Block time and frequency domain modified covariance algorithms for spectral analysis. IEEE Transactions on Signal Processing, 41(11), 3138–3152.
Stoica, P., & Moses, R. (2005). Spectral analysis of signals. Prentice-Hall.
Tohkura, Y., Itakura, F., & Hashimoto, S. (1978). Spectral smoothing technique in PARCOR speech analysis-synthesis. IEEE Transactions on Acoustics, Speech, and Signal Processing, 26(6), 587–596.
Tsuge, S., & Kuroiwa, S. (2016). Bone- and air-conduction speech combination method for speaker recognition. International Journal of Biometrics, 11(1), 35–49.
Ulrych, T. J., & Bishop, T. N. (1975). Maximum entropy spectral analysis and autoregressive decomposition. Review of Geophysics and Space Physics, 13(1), 183–200.
Vaseghi, S. V. (2009). Advanced digital signal processing and noise reduction. Wiley.
Welborn, M. L. (1995). Co-channel interference rejection using a model-based demodulator. Masters Theses. Virginia Tech., Blacksburg, VA, USA.
Zhang, S., Sugiura, Y., & Shimamura, T. (2022). Bone-conducted speech synthesis based on least squares method. IEEJ Transactions on Electrical and Electronic Engineering, 17(3), 425–435.
Acknowledgements
We sincerely express our gratitude to United International University (UIU) for support in making this research happen. This research was funded by the Institute for Advanced Research Publication Grant of United International University, Ref. No.: IAR-2024-Pub-054.
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This research was funded by the Institute for Advanced Research Publication Grant of United International University, Ref. No.: IAR-2024-Pub-054.
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Ohidujjaman: writing—original draft, writing—review & editing, conceptualization, formal analysis, data curation. Mahmudul Hasan: conceptualization, formal analysis, data curation. Shiming Zhang: writing—review & editing, data curation. Mohammad Nurul Huda: conceptualization, methodology. Mohammad Shorif Uddin: writing—review & editing, visualization, supervision.
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Ohidujjaman, Hasan, M., Zhang, S. et al. Spectral analysis of bone-conducted speech using modified linear prediction. Int J Speech Technol 27, 1039–1053 (2024). https://doi.org/10.1007/s10772-024-10151-3
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DOI: https://doi.org/10.1007/s10772-024-10151-3