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Magnitude Modelling of HRTF Using Principal Component Analysis Applied to Complex Values

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Języki publikacji
EN
Abstrakty
EN
Principal components analysis (PCA) is frequently used for modelling the magnitude of the head- related transfer functions (HRTFs). Assuming that the HRTFs are minimum phase systems, the phase is obtained from the Hilbert transform of the log-magnitude. In recent years, the PCA applied to HRTFs is also used to model individual HRTFs relating the PCA weights with anthropometric measurements of the head, torso and pinnae. The HRTF log-magnitude is the most used format of input data to the PCA, but it has been shown that if the input data is HRTF linear magnitude, the cumulative variance converges faster, and the mean square error (MSE) is smaller. This study demonstrates that PCA applied directly on HRTF complex values is even better than the two formats mentioned above, that is, the MSE is the smallest and the cumulative variance converges faster after the 8th principal component. Different objective experiments around all the median plane put in evidence the differences which, although small, seem to be perceptually detectable. To elucidate this point, psychoacoustic discrimination tests are done between measured and reconstructed HRTFs from the three types of input data mentioned, in the median plane between −45◦ and +90◦.
Rocznik
Strony
477--482
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • Centro de Investigación y Transferencia en Ac´ustica (CINTRA), Universidad Tecnológica Nacional, Facultad Regional Córdoba, UA del CONICET Mtro. López esq. Cruz Roja Argentina, Córdoba, Argentina
  • Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas (CONICET) Rivadavia 1917. C.A.B.A, Argentina
  • Centro de Investigación y Transferencia en Ac´ustica (CINTRA), Universidad Tecnológica Nacional, Facultad Regional Córdoba, UA del CONICET Mtro. López esq. Cruz Roja Argentina, Córdoba, Argentina
  • Facultad de Matem´atica, Astronom´ıa y F´ısica, Universidad Nacional de Córdoba Av. Medina Allende s/n, Ciudad Universitaria, Córdoba, Argentina
  • Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas (CONICET) Rivadavia 1917. C.A.B.A, Argentina
Bibliografia
  • 1. ALGAZI V., DUDA R., THOMPSON D., AVENDANO C. (2001), The CIPIC HRTF database IEEE Workshop on applications of Signal Processing to Audio and Acoustics, New Paltz, New York, USA, 99-102.
  • 2. BLAUERT J. (1999), Spatial Hearing: The Psychophysics of Human Sound Localization, The MIT Press, Cambridge, MA.
  • 3. BREEBAART J. (2013), Effect of perceptually irrelevant variance in head-related transfer functions on principal component analysis, J. Acoust. Soc. Am. Express Letters, 133, 1, E11-E16.
  • 4. HU H., ZHOU L., MA H., WU Z. (2008), HRTF personalization based on artificial network in individual virtual auditory space, Applied Acoustics, 69, 163-172.
  • 5. HUGENG WAHAB W., GUNAWAN D. (2010), Enhanced Individualization of Head-Related Impulse Response Model in Horizontal Plane Based on Multiple Regression Analysis, [in:] Proc. IEEE 2010 2nd Int. Conf. on Computer Engineering and Applications (ICCEA 2010), 226-230.
  • 6. HUGENG WAHIDIN W., DADANG G. (2010b), Effective Preprocessing in Modeling Head-Related Impulse Responses Based on Principal Components Analysis, Signal Processing: An International Journal (SPIJ), 4, 4, 201-212.
  • 7. HUGENG Wahidin W., Dadang G. (2011), The Effectiveness of Chosen Partial Anthropometric Measurements in Individualizing Head-Related Transfer Functions on Median Plane, ITB J. ICT, 5, 1, 35-56.
  • 8. HOLZL J. (2012), An initial Investigation into HRTF Adaptation using PCA, IEM Project Thesis, Institut furelektronischemusik und akustik. Graz, Austria.
  • 9. KlSTLER D., WIGHTMAN F. (1992), A model of head-related transfer functions based on principal components analysis minimum-phase reconstruction, J. Acoust. Soc. Am., (91), 3, 1637-1647.
  • 10. KULKARNI A., ISABELLE K., COLBURN S. (1999), Sensitivity of human subjects to head-related transfer- function phase spectra, J. Acoust. Soc. Am., 105, 5, 2821-2840.
  • 11. KULKARNI A., COLBURN S. (2004), Infinite-impulse- response models of the head-related transfer function, J. Acoust. Soc. Am., 115, 4, 1714-1728.
  • 12. LEUNG, CARLILE C. (2009), PCA compression of HRTFs and localization performance, [in:] Proceedings of the International Workshop on the Principles and Applications of Spatial Hearing.
  • 13. MEHRGARDT S., MELLERT V. (1977), Transformation characteristics the external human ear, J. Acoust. Soc. Am., 61, 1567-1576.
  • 14. OPPENHEIM A., SCHAFER R. (1999), Discrete-Time Signal Processing, Prentice-Hall Inc. New Jersey, USA.
  • 15. SCARPACI J., COLBURN S. (2005), Principal Components Analysis Interpolation of HRTF’s Using Locally Chosen Basis Functions, Proceedings of 11 Meeting of the International Conference on Auditory Display. Limerick, Irlanda.
  • 16. SCHONSTEIN D., KATZ B.F.G. (2012), Variability in, Perceptual Evaluation of HRTFs, J. Audio Eng. Soc., 60, 10, 783-793.
  • 17. SODNIK J., SUSNIK R., TOMAZIC S. (2006), Principal Components of Non-individualized Head Related Transfer Functions Significant for Azimuth Perception, Acta Acustica United with Acustica, 92, 312-319.
  • 18. XU S., LI Z., SALVENDY G. (2007), Individualization of head-related transfer function for tree-dimensional virtual auditory display: a review, LNCS: Virtual Reality, 4563, 397-407.
  • 19. XU S., LI Z., SALVENDY G. (2009), Identification of Anthropometric Measurements for Individualization of Head-Related Transfer Function, Acta Acustica united with Acustica, 95, 168-177.
  • 20. WIGHTMAN F., KlSTLER D. (1989), Headphone simulation of free-field listening II: Psychophysical validation, J. Acoust. Soc. Am., 85, 868-878.
  • 21. YAO S., CHEN L. (2013), HRTF Adjustments with Audio Quality Assessments, Archives of Acoustics, 38, 1, 55-62.
  • 22. ZHANG M., KENNEDY R.A., ABHAYAPALA T.D., ZHANG W. (2011), Statistical method to identify key anthropometric parameters in HRTF individualization, [in:] Proc. IEEE workshop on hands-free speech communication and microphone arrays, Edinburgh, UK, pp. 213-218.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-997da948-fd48-4cfd-8bb3-50f8081d3a3d
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