Experimental comparison of integer/fractional-order electrical models of plant

AboBakr, Ahmed; Said, Lobna A.; Madian, Ahmed H.; Elwakil, Ahmed S.; Radwan, Ahmed G.

doi:10.1016/j.aeue.2017.06.010

Cited by 88 publications

(32 citation statements)

References 30 publications

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“…Then the second iteration is calculated as in Eqn. 6 For implementing the proposed algorithm, LUT1 (see Fig. 7) is used to store the difference of (b…”

Section: B Rectangular Algorithmmentioning

confidence: 99%

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Numerical Simulations and FPGA Implementations of Fractional-Order Systems Based on Product Integration Rules

et al. 2020

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Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders. Due to the high memory dependency of the PI rules used in solving fractional-order systems (FOS), their hardware implementation is very difficult and resources-demanding. In this paper, modified versions of the PI rules are introduced to facilitate their digital implementations. The studied rules are PI rectangular, PI trapezoidal, and predict-evaluate-correctevaluate (PECE) rules. The three modified versions of the PI rules are validated using a benchmark system of differential equations for different sizes of the memory window to show the effect of the window size on the solution accuracy. Additionally, the three modified versions of the PI rules are used to simulate a novel fractional-order chaotic system (FOCS) where its bifurcation diagrams are discussed with the window length parameter. The chaotic system is then implemented on a Field Programmable Gate Array (FPGA). There are only a few trials in literature to implement the fractional PECE algorithm on FPGA, nevertheless, the proposed FPGA realization is compared with the most recent of these trials. The FPGA implementations of the three PI rules are made using Xilinx ISE 14.7 on Artix 7 kit. The achieved throughput are 1280 Mbits/sec for PI rectangular, 128.8 Mbits/sec for PI trapezoidal, and 129.12 Mbits/sec for fractional-order PECE.

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“…Then the second iteration is calculated as in Eqn. 6 For implementing the proposed algorithm, LUT1 (see Fig. 7) is used to store the difference of (b…”

Section: B Rectangular Algorithmmentioning

confidence: 99%

“…This advantage is a direct result of the additional tunability attained by introducing fractional orders as new model parameters. Engineering application of FOS includes: bioengineering [4]- [6], control [7]- [10], filters [11], [12], oscillators [13], [14], energy [15], [16], encryption [17], and chaos [18]- [20].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulations and FPGA Implementations of Fractional-Order Systems Based on Product Integration Rules

et al. 2020

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“…In this work, we propose an active, easily tunable circuit implementation of the Cole's skin and electrode models. The design is based on applications from fractional calculus, since fractional-order models offer more degrees of freedom in comparison with integer-order realizations [28][29][30]. To this end, based on the non-integer exponent parameter of the Cole's equation [25], we propose two tunable fractional-order capacitor implementations, implemented as analog filters (voltage output) with a transfer function H(s).…”

Section: Introductionmentioning

confidence: 99%

Analog Realization of Fractional-Order Skin-Electrode Model for Tetrapolar Bio-Impedance Measurements

et al. 2020

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This work compares two design methodologies, emulating both AgCl electrode and skin tissue Cole models for testing and verification of electrical bio-impedance circuits and systems. The models are based on fractional-order elements, are implemented with active components, and capture bio-impedance behaviors up to 10 kHz. Contrary to passive-elements realizations, both architectures using analog filters coupled with adjustable transconductors offer tunability of the fractional capacitors’ parameters. The main objective is to build a tunable active integrated circuitry block that is able to approximate the models’ behavior and can be utilized as a Subject Under Test (SUT) and electrode equivalent in bio-impedance measurement applications. A tetrapolar impedance setup, typical in bio-impedance measurements, is used to demonstrate the performance and accuracy of the presented architectures via Spectre Monte-Carlo simulation. Circuit and post-layout simulations are carried out in 90-nm CMOS process, using the Cadence IC suite.

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“…Integer order techniques can be employed to characterize uniform tissues, while fractional order models better describe heterogeneous tissues [19]. The Cole impedance model is one of the preferred fractional-order models [16] widely used to fit bio-impedance data [20] measured over a specific frequency range of interest. This model, shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…This model, shown in Fig. 3(b), consists of low frequency resistance R 0 , a high frequency resistance R ∞ and a fractional-order capacitor with dispersion coefficient α [20]. The impedance model is given by [21]…”

Section: Introductionmentioning

confidence: 99%

Cole Bio-Impedance Model Variations in $Daucus~Carota~Sativus$ Under Heating and Freezing Conditions

et al. 2019

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This paper reports on the variations in the parameters of the single dispersion Cole bio-impedance model of Daucus Carota Sativus (carrots) under heating and freezing conditions. Experiments are conducted on six samples with recorded live bio-impedance spectra versus temperature. The Cole model parameters are extracted from the measured data using the Flower Pollination Algorithm (FPA) optimization technique and their variations are correlated with well-known biochemical and bio-mechanical variations. This represents a non-invasive method for characterizing and measuring the degree of change in biological cellular morphology and composition.

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Experimental comparison of integer/fractional-order electrical models of plant

Cited by 88 publications

References 30 publications

Numerical Simulations and FPGA Implementations of Fractional-Order Systems Based on Product Integration Rules

Numerical Simulations and FPGA Implementations of Fractional-Order Systems Based on Product Integration Rules

Analog Realization of Fractional-Order Skin-Electrode Model for Tetrapolar Bio-Impedance Measurements

Cole Bio-Impedance Model Variations in $Daucus~Carota~Sativus$ Under Heating and Freezing Conditions

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