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

Ramos O. A., Tommasini F. C.

Archives of Acoustics

2014

Vol. 39, No. 4

477--482

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◦.

Computational modelling of head-related transfer function

Dobrucki A. B., Plaskota P.

Archives of Acoustics

2007

Vol. 32, No. 3

659--682

Measuring the Head-Related Transfer Function (HRTF) is an efficient method that takes into consideration the influence of the human body on the sound spectrum. The data base used in reproduction of the sound source position is built using the measurement results. The base is individual for each person, which makes it impossible to make a versatile base for all listeners. In this paper a numerical model of artificial head is presented. The model allows to determine the value of HRTF without making measurements. The model includes both geometrical and acoustical parameters. A method which is often used to determine the acoustical field parameters is the boundary element method, which was used to calculate the values of HRTF in this work. In the conclusion results of the calculations are presented and the correctness of the previous assumption made while constructing the geometric part of the numerical human head model is discussed.