The tracking and reconstructing for sharp spikes of biomedical signals: An exploration for applications of tracking-differentiators

Wei Wang
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引用次数: 0

Abstract

Biomedical signal processing is important for biologists and physicians. Because of the speciality and complexity of biomedical signals, they bring about many substantial troubles for the mathematical methods to deal with. In this paper, we discuss the tracking and reconstructing of sharp spikes of biomedical signals by exploring the new possibility for the applications of tracking-differentiators (TDs), which have been used successfully in many of industrial fields. Firstly, for tracking the observations with the spiking components, we try to find the proper parameters of tracking-differentiators, and to obtain the estimation of the generalized derivatives. Secondly, for the effective reconstruction of the signals with sharp spikes, we employ the Taylor's formula with generalized derivatives. Finally, simulation results on the tracking and reconstruction for the electrocardiogram (ECG) of a pregnant woman have been provided which indicate not only the possibility of applying TDs in the new area but also the effectiveness of the method.
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生物医学信号尖峰的跟踪与重构:跟踪-微分器的应用探索
生物医学信号处理对生物学家和医生都很重要。由于生物医学信号的特殊性和复杂性,给数学方法处理带来了许多实质性的困难。在本文中,我们通过探索跟踪-微分器(TDs)应用的新可能性,讨论了生物医学信号的尖锐尖峰的跟踪和重建,该技术已成功地应用于许多工业领域。首先,为了跟踪带有尖峰分量的观测值,我们尝试找到合适的跟踪微分器参数,并得到广义导数的估计。其次,为了有效地重建具有尖锐尖峰的信号,我们采用了广义导数的泰勒公式。最后,给出了一个孕妇心电图跟踪与重建的仿真结果,表明了td在新领域应用的可能性和方法的有效性。
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