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李少卿, 符杰林. 一种基于加权有限穿越可视图的光变信号周期提取算法J. 桂林电子科技大学学报, 2025, 45(6): 570-575. DOI: 10.16725/j.1673-808X.202366
引用本文: 李少卿, 符杰林. 一种基于加权有限穿越可视图的光变信号周期提取算法J. 桂林电子科技大学学报, 2025, 45(6): 570-575. DOI: 10.16725/j.1673-808X.202366
LI Shaoqing, FU Jielin. An algorithm for extracting the period of astronomical light curve signal based on weighted limited penetrable visibility graphJ. Journal of Guilin University of Electronic Technology, 2025, 45(6): 570-575. DOI: 10.16725/j.1673-808X.202366
Citation: LI Shaoqing, FU Jielin. An algorithm for extracting the period of astronomical light curve signal based on weighted limited penetrable visibility graphJ. Journal of Guilin University of Electronic Technology, 2025, 45(6): 570-575. DOI: 10.16725/j.1673-808X.202366

一种基于加权有限穿越可视图的光变信号周期提取算法

An algorithm for extracting the period of astronomical light curve signal based on weighted limited penetrable visibility graph

  • 摘要: 在天文光变信号的周期提取中,由于信号本身存在大量噪声,传统的周期提取算法需要进行一系列的信号预处理操作来提高周期检测的精确度。为提高周期检测的效率,从复杂网络的角度出发,提出了一种加权有限穿越可视图算法。通过将天文光变信号转化为复杂网络,在保留信号本身特征的同时,提高了抗噪性能;之后通过对有限穿越可视图的邻接矩阵进行马氏加权,获得加权后的有限穿越可视图模型;最后利用图傅里叶变换的方法提取到精确的光变周期。对真实数据的实验结果表明,该算法在提高检测效率的同时,能够准确提取周期成分。

     

    Abstract: In astronomical light curve period extraction, the presence of strong noise often requires a traditional algorithm to perform extensive signal preprocessing, which reduces detection efficiency. To improve period detection efficiency, an innovative weighted limited penetrable visibility graph model is proposed based on complex network theory. By transforming the astronomical light curve signals into complex networks, the proposed method enhances noise immunity while preserving intrinsic signal characteristics. After that, the weighted limited penetrable visibility graph model is obtained by applying Mahalanobis distance weighting to the adjacency matrix of the limited penetrable visibility graph. Finally, the accurate light curve period is extracted using the method of the graph Fourier transform. Experimental results on real data show that this method can accurately extract periodic components while improving detection efficiency.

     

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