Un filtre numérique basé sur la dérivation non-entière pour l'analyse du signal électrocardiographique

A thresholding method based on two-dimensional fractional differentiation

“…Other applications are reported for instance in fractal networks [13], in image processing for edge detection [14] and in biomedical signal processing [15].…”

R wave detection using fractional digital differentiation

“…A FIR bandpass filter based on fractional digital differentiation has been designed [10]. This filter performs differentiation and filtering of the electrocardiographic (ECG) signal in one step by choosing appropriate fractional orders.…”

“…Fractional digital differentiation has proved to be robust with regard to noise in image processing [9] as well as in ECG signal processing [10]. This feature is due to lowpass differentiation property when the fractional order is negative; lowpass filtering and characteristic points (inflection points and extrema) detection are performed in the same time.…”

Image thresholding framework based on two-dimensional digital fractional integration and Legendre moments’

“…There exist several well-known approaches to unification of differentiation operators (integral and derivative), and their extension to non-integer orders [12]. Recently, fractional differentiation has found applications in various areas: in control theory, it is used to determinate a robust command control [13]; it is also used to solve the inverse heat conduction problem [14]; other applications are reported for instance in neuronal modelling [15], in image processing [16 -18] and in biomedical signal processing [19].…”