Mittag-Leffler Filter and Its Application in Bio-signals Processing

This contribution introduces a novel variant of the well-known low-pass Gaussian filter, the Mittag-Leffler filter, applicable in 1D and 2D contexts. This new filter incorporates a Mittag-Leffler function within its probability density function. It features three tunable parameters that adjust the c...

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Bibliographic Details
Published inSignal Processing Algorithms, Architectures, Arrangements, and Applications Conference proceedings pp. 42 - 47
Main Author Petras, Ivo
Format Conference Proceeding
LanguageEnglish
Published Division of Signal Processing and Electronic Systems, Poznan University of Technology (DSPES PUT) 25.09.2024
Subjects
ECG signal
Electrocardiography
filter
Filtering
Filtering algorithms
Gauss function
image processing
Low-pass filters
Magnetic resonance imaging
MATLAB
Mittag-Leffler function
MRI
Noise reduction
Probability density function
Shape
signal denoising
Signal processing algorithms
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ISSN2326-0319
DOI10.23919/SPA61993.2024.10715630

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Summary:This contribution introduces a novel variant of the well-known low-pass Gaussian filter, the Mittag-Leffler filter, applicable in 1D and 2D contexts. This new filter incorporates a Mittag-Leffler function within its probability density function. It features three tunable parameters that adjust the curve shape and the filter's forgetting factor. Illustrative examples involving two real ECG signals (one male and one female) and a real MRI image (female) highlight the main advantages of the proposed filter in comparison to the traditional Gaussian filtering (denoising) technique. Implementation details and the Matlab functions for the proposed 1D and 2D filters are provided too.
ISSN:2326-0319
DOI:10.23919/SPA61993.2024.10715630