A meta-parameter tuning model to improve the genetic algorithms design of labeling diversity mappers

Shaheen Solwa, A. Bamisaye
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Abstract

Evolutionary algorithms (EAs) have recently been applied to Uncoded Space-Time Labeling Diversity (USTLD) systems to produce labeling diversity mappers. However, the most challenging task is choosing the best parameter setting for the EA to create a more ‘optimal’ mapper design. This paper proposes a ‘meta-Genetic Algorithm (GA)’ used to tune hyperparameters for the Labeling Diversity EA. The algorithm is examined on 16, 32 and 64QAM; 32 and 64PSK; 16, 32 and 64APSK and 16APSK constellations that do not show diagonal symmetry. Furthermore, the meta-GA settings and original GA settings are compared in terms of the number of generations taken to converge to a solution. For QAM constellations, the output using the meta-GA settings matched but did not improve with the original settings. However, the number of generations needed to converge to a solution took 120 times less than the number of generations using the original settings. In the 64PSK constellation, a diversity gain of [Formula: see text][Formula: see text]dB was observed while improving on the actual fitness value from 0.0575 to 0.0661. Similarly, with 32APSK constellation, an improvement in fitness value from 0.1457 to 0.1748 was made while showing diversity gains of [Formula: see text][Formula: see text]dB. 64APSK constellation fitness value improved from 0.0708 to 0.0957, and a [Formula: see text][Formula: see text]dB gain was observed. The most significant improvement was made by the asymmetric 16APSK constellation, with gains of [Formula: see text][Formula: see text]dB and increasing its fitness value three times (0.0981 to 0.3000). A study of the effects of optimizing the GA parameters shows that the number of swaps during crossover [Formula: see text] and the radius [Formula: see text] were the two most important variables to optimize when executing this GA.
一种改进标记多样性映射器遗传算法设计的元参数调整模型
进化算法已被应用于非编码时空标记多样性(USTLD)系统来生成标记多样性映射。然而,最具挑战性的任务是为EA选择最佳参数设置,以创建更“优化”的映射器设计。本文提出了一种“元遗传算法(GA)”,用于调整标记多样性EA的超参数,并在16,32和64QAM上对该算法进行了检验;32和64PSK;16、32、64APSK和16APSK星座不显示对角线对称。此外,根据收敛到一个解所需的代数,比较了元遗传算法设置和原始遗传算法设置。对于QAM星座,使用元ga设置的输出与原始设置匹配,但没有改善。但是,收敛到一个解决方案所需的代数比使用原始设置所需的代数减少了120倍。在64PSK星座中,在实际适应度值从0.0575提高到0.0661的基础上,观察到[公式:见文][公式:见文]dB的多样性增益。同样,在32APSK星座中,适应度值从0.1457提高到0.1748,多样性增益为[公式:见文][公式:见文]dB。64APSK星座适应度值从0.0708提高到0.0957,获得了[公式:见文][公式:见文]dB增益。不对称16APSK星座的改进最为显著,增益为[公式:见文][公式:见文]dB,适应度值提高了3倍(0.0981 ~ 0.3000)。对优化遗传算法参数效果的研究表明,在执行该遗传算法时,交叉期间的交换次数[公式:见文]和半径[公式:见文]是需要优化的两个最重要的变量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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