基于不动点理论的多系统兼容接收机频点选择问题的研究与遗传算法实现

基于不动点理论研究了多系统兼容接收机的频点选择问题,并引入遗传算法解决了这一问题.将Banach不动点理论引入频点空间,提出并证明了频点空间中频点集的遗传进化过程反映了频点空间呈现出的一种不动点物理特性;经过频点空间算子的足够多次的反复遗传进化作用,频点空间中的任一迭代序列源频点集都将最终收敛于唯一不动点目标频点集,而该不动点目标频点集中的目标频点即为该频点选择问题的最优解.完成了遗传算法应用于频点选择问题的理论研究与实现.仿真结果表明,该算法能够有效地解决多系统兼容接收机的频点选择问题. 关键词： 多系统 接收机 遗传算法 不动点

Study of the multi-system compatible receiver's frequency selection problem based on fixed point theory and its genetic algorithm realization

The problem of multi-system compatible receiver’s frequency selection is studied based on fixed point theory, and genetic algorithm is applied to resolve the problem. In the frequency space Banach fixed point theory was used to explain the fixed point physical property, which is presented through the evolution of the frequency set in the frequency space. By adequate reciprocal action of the frequency space operator any iterative sequence source frequency set in the frequency space will finally converge to the unique fixed-point object frequency set, the object frequencies of which are the frequency selection problem’s optimal solution. The study of and the solution to the frequency selection problem has been accomplished by a genetic algorithm. Simulation shows that the algorithm can resolve the problem of the multi-system compatible receiver’s frequency selection effectively.