This paper proposes a method to reproduce the Head Related Transfer Function (HRTF) in the horizontal auditory scene. The method is based on a separable representation which consists of a Fourier Bessel series expansion for the spectral components and a conventional Fourier series expansion for the spatial dependence. The proposed representation can be used to predict HRTFs at any azimuth position and at any frequency sampling point from a finite number of measurements. Implementation details are demonstrated in the paper. Measured HRTFs from a KEMAR manikin and analytically simulated HRTFs were used to validate the fidelity and predictive capabilities of the method. The average mean square error for model reconstruction is less than two percent.
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