Characterization of Si‐BCB transmission line at millimeter‐wave frequency by compact fractional‐order equivalent circuit model

Shi, Liyun; Qiu, Liang-Feng; Huang, Xiaolong; Zhang, Feifei; Wang, Dangdang; Zhou, Liang; Gao, Jianjun

doi:10.1002/mmce.21685

Cited by 4 publications

(5 citation statements)

References 24 publications

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“…Except FOEs, fractional‐order modeling is widely applied. The fractional‐order modeling is applied to microwave components like transmission line 11 . Mathematical models relying on fractional‐order circuit elements permit more accurate, robust, and flexible representations of real‐world dynamical systems compared to models relying on classical (and ideal) circuit elements 12‐14 .…”

Section: Introductionmentioning

confidence: 99%

“…The fractional-order modeling is applied to microwave components like transmission line. 11 Mathematical models relying on fractional-order circuit elements permit more accurate, robust, and flexible representations of real-world dynamical systems compared to models relying on classical (and ideal) circuit elements. [12][13][14] Fractional-order circuit elements include fractional-order capacitors (FOCs) [15][16][17][18] and fractional-order inductors (FOIs).…”

Section: Introductionmentioning

confidence: 99%

“…Note that the magnitude of Z (α, ω) is given by ω α L α . An FOI, ideally described by Equation (1), can be used to accurately model or implement dynamical systems in a wide range of applications such as respiratory systems, 23 brain monitoring, 24 bioelectrodes, 25 energy storage, 26 F I G U R E 1 Comparison between conventional electrical elements R and L, RL series circuit, and fractional-order inductor electromagnetics, 27 rectifiers, 28 resonators, 10,29 oscillators, [29][30][31] impedance matching networks, 6,32 chaotic system, 33 transmission line, 11 and sensory transducers. 25 The use of these applications in real-life requires actual implementations of FOIs.…”

Section: Introductionmentioning

confidence: 99%

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A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

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Recently, interest in fractional‐order inductors (FOIs) has increased since they allow for accurate and robust models of dynamical systems to be designed. However, practical implementation of these models has not been possible due to the lack of single FOI realizations. To address this challenge, in this work, we propose a simple‐to‐realize fractional‐order inductor design with variable constant phase angle (CPA). The design relies on characteristics of transverse electromagnetic (TEM) mode propagating on a coaxial structure filled with conductive material, more specifically NaCl‐water solution and flour‐based mixtures. The CPA of the resulting FOI can be tuned by changing the conductivity of the dough mixture. Analysis of the proposed FOI design show that the CPA can vary in a range from 0° to 90°. Two of these CPA values are verified against experiments in the frequency band changing from 1 to 10 MHz.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A variable fractional‐order inductor design

Zhang

Kartci

Bağcı

et al. 2022

Circuit Theory & Apps

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“…energy systems [4], and quantum systems [5]; in biology, modeling in cell biology [6], cancer biology [7], and computational biology [8,9]; in engineering, dynamics and control [10,11], fluid mechanics and aerodynamics [12,13], and telecommunication [14,15]. These are some areas where fractional calculus is applied.…”

Section: Introductionmentioning

confidence: 99%

FPGA Implementation of Parameter-Switching Scheme to Stabilize Chaos in Fractional Spherical Systems and Usage in Secure Image Transmission

et al. 2023

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The main objective of this work was to implement the parameter-switching chaos control scheme for fractional-order spherical systems and develop a chaos-based image encryption and transmission system. The novelty in the developed secure communication system is the application of the parameter-switching scheme in the decryption of RGB and grayscale images, which undergo one round of encryption using the chaotic states of the fractional system and a diffusion process. The secure communication system has a synchronized master and slave topology, resulting in transmitter and receiver systems for encrypting and decrypting images, respectively. This work was demonstrated numerically and also implemented on two FPGAs, namely Artix-7 AC701 and Cyclone V. The results show that the parameter-switching scheme controls chaos in the fractional-order spherical systems effectively. Furthermore, the performance analysis of the image encryption and transmission system shows that there is no similarity between the original and encrypted images, while the decryption of the encrypted images is without a loss of quality. The best result in terms of the encryption was obtained from the chaotic state x of the fractional-order system, with correlation coefficients of 0.0511 and 0.0392 for the RGB and grayscale images, respectively. Finally, the utilization of the FPGA logical resources shows that the implementation on Artix-7 AC701 is more logic-efficient than on Cyclone V.

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“…Benzocyclobutene (BCB) compounds are used in low-dielectric constant interlayer media for semiconductor chips. [1][2][3][4] One of the most important reasons for this is that they undergo special crosslinking reactions between molecules (as represented in Scheme 1). These reactions reduce compactness and shrinkage during curing in polymers that contain BCB compounds.…”

Section: Introductionmentioning

confidence: 99%