基于混合混沌映射信号的产生及模糊特性

Generation of signal based on hybrid chaotic mapping and its ambiguity properties

根据混沌的可加性构造了一种基于Logistic和Tent混沌序列的混合混沌序列,对所产生的混合混沌序列进行了Lyapunov指数及自相关特性的分析,从理论上推导了混合混沌序列的模糊函数表达式．理论分析和仿真结果表明,该混合混沌序列具有良好的自相关特性,模糊函数呈现较为理想的“图钉型”．表明这类混合序列不仅具有结构简单、易于处理的特点,而且还具有较高的距离和速度联合分辩率．

A mixed chaotic sequence is constructed based on Logistic and Tent chaotic sequences according to the additivity of chaos. Lyapunov exponent and auto-correlation to mixed sequence are analyzed. Ambiguity function of the mixed chaotic sequence is derived theoretically. The results of analysis and simulation both show that the mixed chaotic sequence has good auto-correlation, and ambiguity function takes the shape of ideal thumbtacks, indicating that this kind of mixed chaotic sequence not only has simple constructions and is easy to process, but also has good resolution in distance and speed.