An analytical expression for the input impedance of a fractal tree obtained by a microelectronical process and experimental measurements of its non-integral dimension

Haba, T. Cisse; Loum, Georges Laussane

doi:10.1016/j.chaos.2006.01.123

Cited by 40 publications

(14 citation statements)

References 5 publications

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“…As a result, has a relatively large deviation from 1, while is close to 1. But note that a slight change in the order-terms and could bring huge changes in the prefactors ( and ) in THz region as observed in (7) and (8).…”

Section: A Extraction From Measurementmentioning

confidence: 95%

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Design and Analysis of CMOS-Based Terahertz Integrated Circuits by Causal Fractional-Order RLGC Transmission Line Model

Shang

Wei

2013

IEEE J. Emerg. Sel. Topics Circuits Syst.

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A causal and compact fractional-order model is developed for complementary metal-oxide-semiconductor (CMOS) on-chip transmission line (T-line) at Terahertz (THz) frequencies. With consideration of the loss from frequency-dependent dispersion and nonquasi-static effects at THz, good agreement of characteristic impedance is observed between the proposed fractionalorder model and the measurement up to 110 GHz, while traditional integer-order model can only match up to 10 GHz. The developed fractional-order model is further deployed in the design and analysis of CMOS-based THz integrated circuits that utilize T-line, such as standing-wave oscillator, which has significantly improved accuracy with causality.

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Section: A Extraction From Measurementmentioning

confidence: 95%

“…When or , we can expect the existence of real-parts at the right-hand sides of (7) and (8), which represent the frequency-dependent loss. Physically in a particular device, the fractional-order operator indicates the transfer of the energy storage to energy loss.…”

Section: B Fractional-order Capacitance and Inductance Modelsmentioning

confidence: 99%

Design and Analysis of CMOS-Based Terahertz Integrated Circuits by Causal Fractional-Order RLGC Transmission Line Model

Shang

Wei

2013

IEEE J. Emerg. Sel. Topics Circuits Syst.

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show abstract

“…There are three possibilities how to create a fractionalorder circuit. The first possible way is to use a passive element with fractional-order character referred to as FOE (Fractional-Order Element) [16], capacitor in most cases, and use it as a dominant capacitor in filtration structure [1], [17], [18]. Though this solution may seem straightforward, there is no industrial manufacturing of FOE yet.…”

Section: Introductionmentioning

confidence: 99%

Multifunctional Electronically Reconfigurable and Tunable Fractional-Order Filter

Dvořák¹,

Jeřábek²,

Polesakova³

et al. 2019

ElAEE

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In this paper the authors present a multifunctional reconfigurable fractional-order filter performing a low-pass, high-pass, band-pass and band-reject transfer function. The filter is based on two types of active elements, OTA (Operational Transconductance Amplifier) and ACA (Adjustable Current Amplifier). It provides pole frequency control, depending on the values of the transconductance of the OTA elements. The quality factor is also electronically controlled, depending on the amplification of the ACA element. The order of the filter can be changed by switching the fractional-order capacitor having various values of the order. The circuit was implemented as a PCB (Printed Circuit Board) and measured in laboratory conditions. Measurement results are compared with the simulation results. The behavioural models were used for the purpose of the simulation.

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“…For example, EIS has been applied to the analysis of electric double layer capacitance (EDLC) with activated carbon, which has a branch structure containing various pores. [6][7][8][9][10][11] In the case of a single pore structure electrode, the Nyquist plots of electrochemical impedance show that the locus of a straight line, with a slope of 45°against the real axis, is in the high-frequency range and the locus of a straight line parallel to the imaginary axis is in the low-frequency range. Meanwhile, the Nyquist plots of the electrochemical impedance of EDLC using activated carbon were reported by Lewandowski 12 and West et al 13 and show a slope smaller than 45°in the highfrequency range.…”

Section: Introductionmentioning

confidence: 99%

Electrochemical Impedance Simulation of Branch Structure Porous Carbon Electrode Using Transmission Line Model

et al. 2015

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Impedance simulation was performed for analysis of a branch structure porous carbon electrode composed of macropores and mesopores. Theoretical equations were derived by introducing a new branch structure transmission line model, in which the charge-transfer reactions in the pores are considered. The loci of the straight line with angles at 22.5°and semicircle were observed in the high and low frequency ranges. It was found that the charge-transfer resistance in the mesopore interface had no influence on the loci of the straight line.

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An analytical expression for the input impedance of a fractal tree obtained by a microelectronical process and experimental measurements of its non-integral dimension

Cited by 40 publications

References 5 publications

Design and Analysis of CMOS-Based Terahertz Integrated Circuits by Causal Fractional-Order RLGC Transmission Line Model

Design and Analysis of CMOS-Based Terahertz Integrated Circuits by Causal Fractional-Order RLGC Transmission Line Model

Multifunctional Electronically Reconfigurable and Tunable Fractional-Order Filter

Electrochemical Impedance Simulation of Branch Structure Porous Carbon Electrode Using Transmission Line Model

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