Construction method of high-dimensional chaotic pseudo-random sequence generator based on periodic ring monitoring mechanism
A pseudo-random sequence and construction method technology, which is applied in the construction of high-dimensional chaotic pseudo-random sequence generators, can solve the problems of high sensitivity of initial conditions, reduced intrinsic randomness and ergodicity, and short period, and achieves the improvement of various features, fast encryption, and easy structure
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Embodiment 1
[0030] The purpose of this embodiment is to use the chaotic periodic ring monitoring mechanism and the method of randomly refreshing the initial conditions of the chaotic system to enhance the dynamic characteristics of the digital chaotic system, and to construct a chaotic pseudo-random sequence generator with excellent performance through the newly designed digital chaotic model , its design block diagram is as follows figure 1 shown.
[0031] First, let the iterative function of the N-dimensional digital chaotic system be Chaos((x 1 (n),x 2 (n),...,x N (n))), the specific expression formula of its general form is as follows:
[0032]
[0033] In addition, in this embodiment, a linear congruential generator is also used to improve the performance of the discrete chaotic sequence. The linear congruential generator function is LCG(W(i)), and its mathematical formula is as follows:
[0034] W(i+1)=(aW(i)+c)mod M, 0≤W(i)
[0035] In the above formula, a, c and M ar...
Embodiment 2
[0046] Here we choose the three-dimensional digital Sprott chaotic system as an example and construct a chaotic pseudo-random sequence generator according to the method of Embodiment 1 of the present invention. The iteration formula of the digital Sprott chaotic system is as follows:
[0047]
[0048] In the above formula, T is the time step. Let T=1 / 2 here -3 , the initial value of chaos (X 1 ,X 2 ,X 3 )=(2,-1.125,3), calculation accuracy L=8, decimal places k=4. Further, the original digital Sprott system and the improved digital Sprott system of the present invention are compared and analyzed, including phase space analysis, autocorrelation and frequency histogram analysis. From the above experimental results, it can be seen that there are only a few discrete points in the phase space of the original Sprott system, while the phase space of the improved Sprott system almost fills the entire phase space, which shows a good state space utilization rate and can prevent ...
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