Design and Implementation of a FPGA Based Gaussian Random Number Generator

A good FPGA based Gaussian Random Number Generator has to be reconfigurable for different applications,while running fast and acquiring a high throughput per slice.In this paper,a hardware structure of the Transform Module is proposed.The configuration process and principle of the period and output bit-width of uniform random numbers are introduced.For the generation of Gaussian random numbers,methods for bit-width optimization of the fixed point operands are introduced in details.Implementation results on Xilinx Vertex 5 FPGA show that the proposed hardware design could acquire a frequency as high as 491 MHz,while the corresponding throughput is 9.82×108samples/second and the throughput per slice is 2.085×106samples/second/slice.DIEHARD test suit,χ 2 and K-S method are used to test the quality of the generated random numbers here.