In this paper, a frequency tracking method based on a cardinalized probability hypothesis density (CPHD) filter with cardinality compensation and fuzzy‐c means (FCM) clustering is proposed to precisely estimate multiple interference frequencies in the received Global Navigation Satellite System (GNSS) signal. In addition, an adaptive multiple linear Kalman notch filter is applied in order to mitigate multiple GNSS interference signals by using tracking results from the proposed CPHD filter. The cardinality refers to the number of interference frequencies, and estimation accuracy on the cardinality has an effect on the tracking and mitigation performance of the filter. For that reason, the cardinality compensation process and FCM clustering are added in the CPHD filter. The proposed tracking and mitigation method is evaluated by theoretical analysis including simulations. It is confirmed that the proposed algorithm has better tracking and mitigation performance compared with the conventional algorithms.

中文翻译：

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基于CPHD滤波器和自适应多线性卡尔曼陷波滤波器的多GNSS干扰频率跟踪和缓解方法

本文提出了一种基于基数补偿和模糊c均值（FCM）聚类的基数概率假设密度（CPHD）滤波器的频率跟踪方法，以精确估计接收到的全球导航卫星系统（GNSS）信号中的多个干扰频率。 。另外，通过使用来自所提出的CPHD滤波器的跟踪结果，自适应多线性卡尔曼陷波滤波器被应用以减轻多个GNSS干扰信号。基数是指干扰频率的数量，基数的估计精度会影响滤波器的跟踪和缓解性能。因此，在CPHD过滤器中添加了基数补偿过程和FCM聚类。通过包括仿真在内的理论分析对提出的跟踪和缓解方法进行了评估。可以证明，与常规算法相比，该算法具有更好的跟踪和缓解性能。