Title :
Efficiency evaluation and orthogonal basis determination in functional HRTF modeling
Author :
Zhang, Mengqiu ; Kennedy, Rodney A. ; Abhayapala, Thushara D.
Author_Institution :
Appl. Signal Process. Group, Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
This paper consider the problem of how to evaluate the efficiency of a 3D continuous functional HRTF model in rep resenting measured data. The proposed method is based on Karhunen-Loeve theorem. After investigating the optimization problem of representing the process with an finite linear combination of orthogonal functions in L space by means of the least squared method, the variance of random variables involved in the model is found the key metric in efficiency evaluation of a given functional model. Then, the coefficients of the 3D continuous HRTF model are analyzed. The results show that the efficiency of the model in spatial component expansion is around 70% and the best choice in frequency component expansion is the spherical Bessel function.
Keywords :
Bessel functions; Karhunen-Loeve transforms; acoustic signal processing; least squares approximations; optimisation; random processes; transfer functions; 3D continuous HRTF model; 3D continuous functional HRTF model; Karhunen-Loeve theorem; efficiency evaluation; finite linear combination; frequency component expansion; functional HRTF modeling; functional model; least squared method; optimization problem; orthogonal basis determination; orthogonal functions; random variables; spatial component expansion; spherical Bessel function; Frequency measurement; Harmonic analysis; Mathematical model; Random processes; Solid modeling; Three dimensional displays; Transfer functions; Functional Model; HRTF Model; Karhunen-Loève Theorem; Least Squared Method;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2011 IEEE International Conference on
Conference_Location :
Prague
Print_ISBN :
978-1-4577-0538-0
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2011.5946326
