An efficient hardware implementation of Gaussian random number generator

N. Kasiviswanathan, K. Srivatsan
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Abstract

A pair of 32 bit Gaussian Random Numbers (GRaNs) is generated. Box Muller (BM) transformation is widely used for generation of high quality Gaussian Random Numbers in hardware. The BM transformation is a direct method to convert random numbers into a Gaussian random numbers. For the generation of uniform random number skip-ahead linear feedback shift register (SA-LFSR) is used which is given as input to BM transformation. CORDIC algorithm is used for the hardware design of BM transformation. The SA-LFSR does not suffer from correlations since they skip n number of bits at every sample.
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高斯随机数生成器的高效硬件实现
生成一对32位的高斯随机数(GRaNs)。盒穆勒(BM)变换在硬件中广泛用于生成高质量的高斯随机数。BM变换是一种将随机数直接转换为高斯随机数的方法。对于均匀随机数的生成,采用了跳跃式线性反馈移位寄存器(SA-LFSR)作为BM变换的输入。BM变换的硬件设计采用CORDIC算法。SA-LFSR不受相关性的影响,因为它们在每个样本上跳过n个比特。
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