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Realizing fractional-order elements using CCII based mutators

Nowadays, impedance converter and inverter circuits are very vital for the fractional order circuit design. Mutators are one of the common circuits used for that purpose. So, two fractional order mutators are discussed in this work; the first one converts a resistance into a fractional order element. The second mutator family converts any fractional order element to a different fractional order

Circuit Theory and Applications

Nonlinear time-series analysis of current signal in cathodic contact glow discharge electrolysis

In the standard two-electrode configuration employed in electrolytic process, when the control dc voltage is brought to a critical value, the system undergoes a transition from conventional electrolysis to contact glow discharge electrolysis (CGDE), which has also been referred to as liquid-submerged micro-plasma, glow discharge plasma electrolysis, electrode effect, electrolytic plasma, etc. The

Circuit Theory and Applications

Series and parallel circuit models containing memristors and inverse memristors

In this paper, we propose a single equation that can be used to describe a circuit that contains series or parallel-connected R, L, C and memristor components in addition to a new element called inverse memristor M. Connecting these elements either series or parallel affects the pinched hysteresis lobes where the pinch point moves from the origin and lobes area shrinks or widens. Different cases

Circuit Theory and Applications

Fractional-Order Two-Port Networks

We introduce the concept of fractional-order two-port networks with particular focus on impedance and admittance parameters. We show how to transform a 2 × 2 impedance matrix with fractional-order impedance elements into an equivalent matrix with all elements represented by integer-order impedances; yet the matrix rose to a fractional-order power. Some examples are given. © 2016 M. E. Fouda et al

Circuit Theory and Applications

Compact Wide Frequency Range Fractional-Order Models of Human Body Impedance against Contact Currents

Three circuit models using constant phase elements are investigated to represent the human body impedance against contact currents from 40 Hz to 110 MHz. The parameters required to represent the impedance are determined using a nonlinear least squares fitting (NLSF) applied to the averaged human body impedance dataset. The three fractional-order models with 4, 6, and 7 parameters are compared to

Circuit Theory and Applications

Full implementation of a capacitance-to-digital converter system based on SAR logic and charge redistribution technique

This paper demonstrates a low power 6-bit single-ended voltage-based Capacitance-to-Digital Converter (CDC) circuit based on a charge redistribution technique and Successive Approximation Register (SAR) logic operating at 370 kHz sampling rate. A proposed realization of a SAR logic control unit integrated with a low power comparator is introduced where the system blocks are entirely built on the

Circuit Theory and Applications

Fractional-order oscillators

Fractional-order calculus is the branch of mathematics which deals with non-integerorder differentiation and integration. Fractional calculus has recently found its way to engineering applications; particularly electronic circuits with promising results showing the feasibility of fabricating fractional-order capacitors on silicon. Fractionalorder capacitors are lossy non-deal capacitors with an

Circuit Theory and Applications

Fractional-order oscillator based on single CCII

This paper presents a generalization of well-known phase shift oscillator based on single CCII into the fractional order domain. The general state matrix, characteristic equation and design equations are presented. The general oscillation frequency, condition and the phase difference between the oscillatory outputs are introduced in terms of the fractional order parameters. These parameters add

Circuit Theory and Applications

Fractional Order Oscillator Design Based on Two-Port Network

In this paper, a general analysis of the generation for all possible fractional order oscillators based on two-port network is presented. Three different two-port network classifications are used with three external single impedances, where two are fractional order capacitors and a resistor. Three possible impedance combinations for each classification are investigated, which give nine possible

Circuit Theory and Applications

CFOA-Based fractional order simulated inductor

In this paper, a generalized fractional-order form of the simulated inductor using a single current feedback operational amplifier (CFOA) and a fractional-order capacitor is introduced. Analytical expression of the equivalent fractionalorder inductor versus the circuit elements is achieved. Moreover, the effect of the parasitic impedance and the non-idealities of the CFOA are investigated

Circuit Theory and Applications