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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.
Based on the fixed point theory, the frequency selection of multi-system compatible receivers is studied and the genetic algorithm is introduced to solve this problem. The Banach fixed point theory is introduced into frequency-point space, and the frequency-set The process of genetic evolution reflects a kind of fixed-point physical characteristics of frequency space. After enough repeated genetic evolutions of frequency-space operators, the source frequency set of any iteration sequence in frequency space And ultimately converges to a single fixed point target frequency set, and the target frequency point of the fixed point target frequency point is the optimal solution of the frequency selection problem.Finally, a theoretical study on the application of genetic algorithm to frequency selection is completed Simulation results show that this algorithm can effectively solve the problem of multi-system compatible receiver frequency selection.