Faculty of BERG, Technical University of Košice, Němcovej 3, 042 00 Košice, Slovakia.
Sensors (Basel). 2022 Nov 12;22(22):8740. doi: 10.3390/s22228740.
In this paper, a novel form of the Gaussian filter, the Mittag-Leffler filter is presented. This new filter uses the Mittag-Leffler function in the probability-density function. Such Mittag-Leffler distribution is used in the convolution kernel of the filter. The filter has three parameters that may adjust the curve shape due to the filter-forgetting factor. Illustrative examples present the main advantages of the proposed filter compared to classical Gaussian filtering techniques, as well as real ECG-signal denoising. Some implementation notes, along with the Matlab function, are also presented.
本文提出了一种新的高斯滤波器形式，即 Mittag-Leffler 滤波器。这种新滤波器在概率密度函数中使用了 Mittag-Leffler 函数。这种 Mittag-Leffler 分布用于滤波器的卷积核中。滤波器有三个参数，由于滤波器遗忘因子，这些参数可以调整曲线形状。实例说明了与经典高斯滤波技术相比，该滤波器的主要优点，以及对真实 ECG 信号的去噪。还介绍了一些实现注意事项以及 Matlab 函数。
