Number and Performance on the Basis of a Logistic Map of Histogram Homogenization Method

作者：Li, Di; Wei, Demin^*

来源：Journal of South China University of Technology(Natural Science Edition), 2018, 46(3): 134-141.

DOI：10.3969/j.issn.1000-565X.2018.03.019

• Histogram equalizations
• Logistic maps
• Pseudo random number generators
• Pseudo-random numbers
• Pseudorandom generators
• Random Numbers
• Second moments
• Uniform distribution

The logistic map can be used to generate pseudo random numbers. However, the data generated directly cannot take on a good uniformity. Based on the characteristic of random numbers generated directly by the logistics map pseudo random generator (LM-PRNG), an improved pseudo random number generator (ILM-PRNG) is designed based on a histogram homogenization method, and the performance of LM-PRNG and ILM-PRNG is researched by parameters tests, uniform test and unique test. At 0.05 level, the results of three kinds of number scales show that the first moment of random numbers generated by LM-PRNG can pass the tests when N=103, N=104and 60% N=105. The second moment, variance and uniform failed in the test. 93.3% of the samples can pass the unique test. Meanwhile, random numbers generated by ILM-PRNG can pass all the tests in this research. The parameter and uniform characters are getting better with the numbers getting larger. As a new kind of PRNG, the ILM-PRNG can overcome the lack of the original logistic generator and can be used to generate uniform pseudo random numbers more satisfactorily.

• 出版日期2018-3-1
• 单位华南理工大学