Modal expansion of HRTFs: Continuous representation in frequency-range-angle

TitleModal expansion of HRTFs: Continuous representation in frequency-range-angle
Publication TypeConference Papers
Year of Publication2009
AuthorsZhang W, Abhayapala TD, Kennedy RA, Duraiswami R
Conference NameAcoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on
Date Published2009/04//
Keywordsanalysis;signal, bessel, domains;frequency-range-angle;head, expansion;modal, Fourier, function;modal, functions;, reconstruction;signal, related, representation;transfer, series;HRTF;frequency, spherical, transfer

This paper proposes a continuous HRTF representation in both 3D spatial and frequency domains. The method is based on the acoustic reciprocity principle and a modal expansion of the wave equation solution to represent the HRTF variations with different variables in separate basis functions. The derived spatial basis modes can achieve HRTF near-field and far-field representation in one formulation. The HRTF frequency components are expanded using Fourier Spherical Bessel series for compact representation. The proposed model can be used to reconstruct HRTFs at any arbitrary position in space and at any frequency point from a finite number of measurements. Analytical simulated and measured HRTFs from a KEMAR are used to validate the model.