Due to the importance of its integer order counterpart in many mathematical and engineering fields, the fractional order Hermite polynomials are studied in this paper. A fractional variation of the well known Hermite differential equation is introduced based on Caputo fractional operator. The proposed equation is solved using fractional Taylor power series method and the convergence is verified using truncated series for different values of the parameters. The condition for fractional polynomial solution is obtained and the first four polynomials are scaled using an appropriate scaling factor

This paper proposes a new design for ternary logic comparator unit based on memristive threshold logic concept. To provide high-performance design, integrating memristor and Carbon Nano-Tube Field-Effect Transistor, CNTFET, is used. A comparison with other related work is presented to discuss performance aspects. It shows that performance has been improved by 75% compared with the other related work. Therefore, the proposed design is very promising to build high-performance full ternary ALU memristor-based unit. © 2018 IEEE.

Electrochemical Impedance Spectroscopy (EIS) has been used as a technique for the assessment of food attributes. This paper discusses the effect of injuries caused by heating and freezing treatments to plant's bioimpedance. Unlike other studies to these kinds of injuries, experiments are carried out on the whole fruit using non-invasive electrodes keeping the plant tissues unharmed. Moreover, one of the samples under test was chosen to be a ripening fruit to discuss how its bioimpedance behavior differ from non-ripening ones. The experimental results showed how the damage caused by freezing

Convolutional Neural Networks (CNNs) for Artificial Intelligence (AI) algorithms have been widely used in many applications especially for image recognition. However, the growth in CNN-based image recognition applications raised challenge in executing millions of Multiply and Accumulate (MAC) operations in the state-of-The-Art CNNs. Therefore, GPUs, FPGAs, and ASICs are the feasible solutions for balancing processing speed and power consumption. In this paper, we propose an efficient hardware architecture for CNN that provides high speed, low power, and small area targeting ASIC implementation

Background: One of the major concerns in implantable optoelectronics is the heat generated by emitters such as light emitting diodes (LEDs). Such devices typically produce more heat than light, whereas medical regulations state that the surface temperature change of medical implants must stay below + 2 °C. The LED's reverse current can be employed as a temperature-sensitive parameter to measure the temperature change at the implant's surface, and thus, monitor temperature rises. The main challenge in this approach is to bias the LED with a robust voltage since the reverse current is strongly

An implementation of a fractional-order differentiator-lowpass filter is presented in this work, which is constructed from Operational Transconductance Amplifiers as active cells. This offers the benefits of electronic tuning and, also, of monolithic implementation. The presented scheme has been employed for the extraction of the R peaks in electrocardiogram signals due to its efficiency for performing this task even in a noisy environment. The provided post-layout simulation results confirm the correct operation of this solution as well as its reasonable sensitivity characteristics. © 2019

A novel procedure for the circuit implementation of the driving-point impedance of frequency-domain material models, constructed from fractional-order elements of arbitrary type and order, is introduced in this work. Following this newly introduced concept, instead of emulating separately each fractional-order element in the model under consideration, the direct emulation of the complete model can be achieved through the approximation of the total impedance function. The magnitude and phase frequency responses of the impedance function are first extracted and approximated through curve-fitting

This paper presents a complete analysis of the mathematical model of the gene regulation process. The model describes the induced gene expression under the effect of activators. The model differential equations are solved analytically, and the exact solution of the gene model is introduced. Moreover, a study of the model dynamics, including the fixed points and stability conditions are presented. The parameters effects on the phase plane portraits and the transient responses of the mRNA as well as the protein concentrations are intensively detailed. This work serves as a brick stone towards a

Supercapacitors are crucial elements in advanced industrial electronic systems particularly when supplied from renewable energy sources. Here, we derive expressions for the current, power, and stored energy in a supercapacitor excited with a step voltage signal. Although, it is not common practice to charge supercapacitors using a step voltage, these devices are sometimes used in switching-type applications where they are subject to this type of signal. We validate the derived mathematical expression of the current via experiments on four different commercial devices. By fitting the measured

This paper proposes two generalized topologies of fractional order inverse filters (FOIF). All possible realizations of each topology are investigated using the second generation current conveyor (CCII) family. Inverse fractional highpass (IFHPF), inverse fractional bandpass (IFBPF), and inverse fractional lowpass (IFLPF) filters are realized using the same topology based on the generalized admittances. Numerical and P-Spice simulation results are presented for selected cases to approve the theoretical findings. The fractional order parameters increase the design flexibility and