摘要We extend a class of a one-dimensional smooth map. We make sure that for each desired interval of the parameter the map's Lyapunov exponent is positive. Then we propose a novel parameter perturbation method based on the good property of the extended one-dimensional smooth map. We perturb the parameter r in each iteration by the real number xi generated by the iteration. The auto-correlation function and NIST statistical test suite are taken to illustrate the method's randomness finally. We provide an application of this method in image encryption. Experiments show that the pseudo-random sequences are suitable for this application.
Abstract：We extend a class of a one-dimensional smooth map. We make sure that for each desired interval of the parameter the map's Lyapunov exponent is positive. Then we propose a novel parameter perturbation method based on the good property of the extended one-dimensional smooth map. We perturb the parameter r in each iteration by the real number xi generated by the iteration. The auto-correlation function and NIST statistical test suite are taken to illustrate the method's randomness finally. We provide an application of this method in image encryption. Experiments show that the pseudo-random sequences are suitable for this application.
WANG Xing-Yuan**;QIN Xue;XIE Yi-Xin
. Pseudo-Random Sequences Generated by a Class of One-Dimensional Smooth Map[J]. 中国物理快报, 2011, 28(8): 80501-080501.
WANG Xing-Yuan**, QIN Xue, XIE Yi-Xin
. Pseudo-Random Sequences Generated by a Class of One-Dimensional Smooth Map. Chin. Phys. Lett., 2011, 28(8): 80501-080501.
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