Abstract: An equivalent form of the integer tent map is given, and the integral dynamic coupled tent map model is designed optimally. The optimal form of integer dynamic tent map is used as the nonlinear function of lattice point based the couple map lattice model, which can generate quickly the pseudo random sequence with uniform distribution and independence. The information entropy, mutual information, difference characteristic, Lyapunov exponent and randomness of the model are simulated and analyzed. The simulation results indicate that the integer dynamic tent map is completely equivalent to the optimization model, which satisfies the performance requirements of generating pseudorandom sequences, and the efficiency of generating is significantly improved.

Key words: Pseudo-random sequence, dynamic tent map, efficiency, optimization

摘要： 给出一种整数帐篷映射的等价形式，并对整数动态耦合帐篷映射模型进行了优化设计。采用耦合映象格子模型，选用整数动态帐篷映射的优化形式作为格点的非线性函数，快速生成了具有均匀分布性和独立性的伪随机序列，对模型的信息熵、互信息、差值特性、Lyapunov指数、随机性进行了仿真分析。仿真结果表明，整数动态帐篷映射与其优化模型完全等价，满足了生成伪随机序列各项性能要求，生成效率显著提高。

关键词: 伪随机序列, 动态帐篷映射, 效率, 优化