Hardware-Efficient Architecture for Multiple Quantized Gaussian Noise Generation

Hardware-Efficient Architecture for Multiple Quantized Gaussian Noise Generation | This paper presents two novel architectures to generate a number of quantized Gaussian noises. The first architecture exploits inversion through uniform segmentation, enabling a uniform look up table (LUT) splitting technique to efficiently generate quantized Gaussian noise while maintaining reasonable tail quality in Gaussian noise generation. The second architecture utilizes inversion through hierarchical segmentation and a probability-based LUT selection, significantly reducing the total LUT size while preserving the tail quality of the generated Gaussian noise. Both designs generate multiple uniform random numbers by cascading combinational circuits, which improves Gaussian noise generation efficiency compared to the conventional linear feedback shift register-based method. Compared to the previous architecture based on inversion through hierarchical segmentation, the proposed uniform segmentation architecture achieves a 6.02x improvement, when implemented on a field-programmable gate array device, in terms of throughput per configurable logic block, and the proposed hierarchical segmentation architecture achieves a 2.71x improvement.