A FPGA implementation of the two-dimensional Digital Huygens' Model

Modeling acoustical behavior in a room is complicated and computationally intense. Many methods have been proposed to analyze the distribution of sound field by using computer simulation. However, the procedure is time-consuming with sound space increasing. In this paper, a hardware solution based on Digital Huygens' Model (DHM) and Field Programmable Gate Array (FPGA) technology is proposed to simulate and rebuild the distribution of sound field in a room. Two schemes of DHM are derived to analyze the sound propagation in a 2D space and implemented by FPGA. In a 2D space with 35 × 35 nodes and surrounded by rigid walls, the results got by hardware meet well with the analytical results in case of different incidences except having three-cycle delays. The designed hardware system consumes about 0.016s to process the computations during 10000 time steps while the software solution developed by C++ programming language costs about 0.14s. The hardware implementation occupies 76% of LUTs and 39% of FDCs in a Xilinx FPGA chip XC5VLX330T-FF1738.