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Low-cost High-resolution Numerical Calculation of Head-related Transfer Function Using Finite-difference Time-domain Methods

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The high-accuracy calculation of head-related transfer functions (HRTFs) using the voxel-based finite differential time domain (FDTD) method requires a relatively fine grid size on a staggered-structure grid. Consequently, it leads to intensive computational resource utilization and impractical time requirements. This paper presents a boundary indexing method that offers improved memory efficiency for storing model information during calculations. Compared to the full-indexing FDTD method with ??(??3) memory complexity, the proposed method achieves an ??(??2) memory complexity. The proposed boundary-based indexing method is considerably faster than the full indexing method. Combined implementation with the nonuniform-structured grid is discussed as a suitable method for HRTFs calculation, offering additional reductions in memory usage and calculation time. The implementation results demonstrate that the integrated approach can successfully produce HRTFs using the FDTD method with relatively low computational costs.

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