Fractal Signal Processing

Khalili Golmankhaneh A., Pham D., Banchuin R., Şevli H.

Circuits, Systems, and Signal Processing, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1007/s00034-025-03338-9
  • Journal Name: Circuits, Systems, and Signal Processing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Communication Abstracts, Compendex, zbMATH
  • Keywords: ECG signal processing, Fractal filter, Fractal α-order filter, Low-pass filter
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This paper presents a novel low-pass filtering framework based on Fractal First -order and Second -order designs, formulated within the framework of fractal calculus. By incorporating the structure of fractal time, the proposed filters can effectively process signals with intricate, non-differentiable characteristics. The fractal second -order low-pass filter is applied to a simulated noisy ECG signal, demonstrating significant noise suppression while preserving the essential morphological features of the waveform. A comparative study with the classical Bessel low-pass filter further illustrates the advantages of the fractal approach in capturing scale-invariant and self-similar properties of biomedical signals. These results highlight the potential of fractal-order filters for advanced biomedical signal processing.