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Three-Dimensional Sound Field Rendering with Digital Boundary Condition using Graphics Processing Unit

A boundary condition with arbitrary frequency characteristics called a digital boundary condition is realized by an infinite impulse response (IIR) digital filter. The digital boundary condition is integrated with a three-dimensional sound field renderer using the digital Huygens' model (DHM), then it is implemented into a Graphics Processing Unit (GPU). Numerical demonstrations are carried out for three-dimensional sound propagation in a cubic room. It is confirmed that the presented model is valid for a boundary condition with arbitrary frequency characteristics.