Theory and circuit modeling of baseband and modulated signal delay compensations with low- and band-pass NGD effects

Ravelo, Blaise; Lalléchère, Sébastien; Thakur, Atul; Saini, Ashish; Thakur, Preeti

doi:10.1016/j.aeue.2016.05.009

Cited by 53 publications

(58 citation statements)

References 18 publications

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“…The NGD cut-off frequencies of these two expressions satisfy relation (16). It can be understood that when…”

Section: ) Ngd Cut-off Frequenciesmentioning

confidence: 92%

“…To accurately identify the limit of NGD zone, the variation of the denominator normalized frequency fd/f0 versus the numerator fn/f0 was also calculated from equation (16) by means of GD expressed in equation (45). Doing this, the normalized value of fd/f0 was swept from 0.01 to 2.…”

Section: ) Relation Between the Tf Canonical Form Numerator And Denomentioning

confidence: 99%

“…To alleviate the issues related to the signal delay [2,14], equalization techniques using NGD circuits were introduced [15][16][17][18]. Behind this NGD tentative application, the NGD circuits were implemented differently.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Original Theory of NGD Low Pass-High Pass Composite Function for Designing Inductorless BP NGD Lumped Circuit

Ravelo

Ngoho²,

Fontgalland

et al. 2020

IEEE Access

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This paper aims to develop an original circuit theory of inductorless NGD topology. The considered passive cell comprised of resistor and capacitor elements without inductor operates as a bandpass (BP) NGD function. The specifications of NGD functions are defined. Generally, the BP NGD fully lumped circuits available in the literature operate with resonant RLC-network. In the introduced research work, a lumped circuit was first time identified to exhibit the BP behavior without the presence of inductive component. The inductorless BP NGD topology is inspired from the combination of low-pass (LP) and high-pass (HP) NGD passive cells. Therefore, an original LP-HP NGD composite topology is obtained. The identified BP NGD topology is constituted only by passive RC-networks. Then, theoretical development of BP NGD analysis is explored. The inductorless circuit theory starts with the identification of BP NGD canonical form. Then, the expressions of NGD value, center frequency and attenuation in function of RC-network parameters are established. The synthesis equations allowing to determine the resistor and capacitor elements are derived. Proofs-of-concept are designed and prototypes are fabricated to verify the effectiveness of the developed LP-HP NGD composite theory. To validate the developed original circuit theory, two prototypes of RC-network based LP-HP NGD composite were designed, fabricated, simulated and tested. The two prototypes were synthesized with respect to two different NGD center frequencies 13.5 MHz and 22 MHz. As expected, the calculated, simulated and measurement results are in very good agreement with NGD value of about some negative nanoseconds. In the future, the characterized inductorless topology enable to overcome the traditional limitations of RLC-network based BP NGD circuits because of inductance self-effect limitation. INDEX TERMS Bandpass (BP) negative group delay (NGD), Low-pass/high-pass (LP-HP) NGD composite, Circuit theory, Inductorless passive topology.

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“…The NGD cut-off frequencies of these two expressions satisfy relation (16). It can be understood that when…”

Section: ) Ngd Cut-off Frequenciesmentioning

confidence: 92%

Section: ) Relation Between the Tf Canonical Form Numerator And Denomentioning

confidence: 99%

See 1 more Smart Citation

Original Theory of NGD Low Pass-High Pass Composite Function for Designing Inductorless BP NGD Lumped Circuit

Ravelo

Ngoho²,

Fontgalland

et al. 2020

IEEE Access

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show abstract

“…This particular parameter can play an important role for the enhancement of signal processing [2]. More unfamiliar function related to the GD attracted the attention of electronic circuit and system engineers when it presents a negative sign [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…Thanks to the negative GD (NGD) function, an equalization and compensation of GD and signal delay were introduced [3][4]. However, the NGD function remains one of the most unfamiliar electronic function for the research design engineers.…”

Section: Introductionmentioning

confidence: 99%

Bandpass NGD TAN of Symmetric H-Tree With Resistorless Lumped-Network

et al. 2021

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This paper introduces an innovative passive topology of bandpass (BP) negative group delay (NGD) electrical circuit implemented with symmetric H-tree network. The multi-port topology of BP NGD circuit is originally represented by a resistorless H-tree constituted by lumped LC-passive network. Until now, the NGD electronic circuits available in the literature are implemented by two-port circuits which are using either resistive elements or distributed microstrip topologies. In the present investigation, the feasibility of the modelling, design, fabrication and test of unfamiliar BP NGD original H-tree circuits. The main objective of the study is to identify analytically the existence of the BP NGD function with the resistorless H-tree circuit. Because of its simplicity and the analytical equation compactness, the uncommon approach of tensorial analysis of networks (TAN) is used in the paper. After the branch and mesh analyses, the impedance matrix of the resistorless H-tree is elaborated. Hence, the resistorless H-tree equivalent Smatrix is established by means of impedance to scattering matrix transform. The BP NGD analysis in function of the inductance and capacitance parameters constituting the H-tree circuit is presented. Then, the main steps of the BP NGD investigation are described. The existence of BP NGD behavior in function of the adequate transmission parameters is identified by the consideration of the canonical form. To validate the BP NGD behavior, a proof of concept (POC) of LC-network based resistorless and symmetrical tree prototype is designed, fabricated and measured. Comparison results between well-correlated TAN calculation, simulation and experimentation are discussed. INDEX TERMS Tensorial analysis of networks (TAN), Kron's formalism, Bandpass negative group delay (NGD), resistorless topology, lumped H-tree, symmetric multi-port circuit, S-parameter modeling, LCnetwork passive circuit.

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On the fractional domain analysis of negative group delay circuits

Banchuin

2023

Circuit Theory & Apps

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SummaryIn this work, the analysis of negative group delay circuits in fractional domain has been conducted. The low pass and the high pass negative group delay circuits constructed based on passive network have been chosen as our candidate circuits. For performing the analysis in fractional domain, the novel Caputo–Fabrizio derivative‐based fractional impedance have been introduced to both circuits. The crucial parameters, the necessary conditions, and the existence conditions of both candidate negative group delay circuits have been formulated. The simulations have been conducted based on the formulated results where the comparisons with the conventional prototypes have been made. The verifications by the proof‐of‐concept circuits have also been performed. In addition, the effects of variation in the order of fractional impedances have been investigated. In summary, it has been found that considering these negative group delay circuits in the fractional domain, which effectively taking unavoidable nonidealities that cannot be modeled in conventional domain into account, significantly alters their characteristics especially the low pass circuit. However they can retain their low pass and high pass negative group delay functions.

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Theory and circuit modeling of baseband and modulated signal delay compensations with low- and band-pass NGD effects

Cited by 53 publications

References 18 publications

Original Theory of NGD Low Pass-High Pass Composite Function for Designing Inductorless BP NGD Lumped Circuit

Original Theory of NGD Low Pass-High Pass Composite Function for Designing Inductorless BP NGD Lumped Circuit

Bandpass NGD TAN of Symmetric H-Tree With Resistorless Lumped-Network

On the fractional domain analysis of negative group delay circuits

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