Novel Double-Dispersion Models Based on Power-Law Filters

Kapoulea S.
Elwakil A.S.
Psychalinos C.
Al-Ali A.

Novel double-dispersion models based on power-law filters are introduced in this work. These models are based on standard first-order and/or second-order low-pass filter transfer functions (denoted as mother functions) and do not require the employment of the fractional-order Laplacian operator. An attractive benefit, from the flexibility point of view, is that the number of parameters, which must be determined via optimization routines, depends on the selected combinations of mother filters. The validity of the proposed models is verified through fitting experimental bio-impedance data of fruit samples measured within a two-day period of time. The accuracy of the proposed models is compared with the classical double-dispersion Cole–Cole model for the same data. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.