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

Ravelo, Blaise; Ngoho, Samuel; Fontgalland, Glauco; Rajaoarisoa, L.; Rahajandraibe, Wenceslas; Vauché, R.; Xu, Zhifei; Wan, Fang; Ge, Jingpeng; Lalléchère, Sébastien

doi:10.1109/access.2020.3033038

Cited by 8 publications

(29 citation statements)

References 36 publications

(66 reference statements)

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“…By proceeding similar to the impedance matrix extraction introduced in [37], we can determine the Z-matrix of our topology. We denote the Laplace variable, s=jω.…”

Section: ) Step5: Impedance Matrix Extractionmentioning

confidence: 99%

“…In the best of the authors' knowledge, a first study on NGD topology implemented with four-port circuit is developed in the present paper. • In addition to the previous point, the NGD electronic circuits available in the literature were implemented by two-port resistive lumped element circuits or distributed microstrip topologies [5][6][7][8][9][10][11][12][13][14][15][16][17]37]. In difference to the performed study, the considered NGD four-port topology is constituted by resistorless and symmetric H-tree composed by LC-passive network.…”

Section: Introductionmentioning

confidence: 99%

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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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“…By proceeding similar to the impedance matrix extraction introduced in [37], we can determine the Z-matrix of our topology. We denote the Laplace variable, s=jω.…”

Section: ) Step5: Impedance Matrix Extractionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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“…The simplest manner to theorize and classify the NGD function was introduced by considering the similarity with the filter behavior [13]. Different classes as low-pass (LP) [14][15][16], high-pass (HP) [17] and bandpass (BP) [18] NGD topologies were categorized. Last two decades, the challenging design of low-attenuation and compact BP NGD circuits attracted particularly the attention of some electronic design and research engineers [18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…Different classes as low-pass (LP) [14][15][16], high-pass (HP) [17] and bandpass (BP) [18] NGD topologies were categorized. Last two decades, the challenging design of low-attenuation and compact BP NGD circuits attracted particularly the attention of some electronic design and research engineers [18][19][20][21][22][23][24][25][26]. Therefore, a huge diversity of fascinating BP-NGD topologies was reported [18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…Last two decades, the challenging design of low-attenuation and compact BP NGD circuits attracted particularly the attention of some electronic design and research engineers [18][19][20][21][22][23][24][25][26]. Therefore, a huge diversity of fascinating BP-NGD topologies was reported [18][19][20][21][22][23][24][25][26]. For example, by using absorptive bandstop filter [20], a prescribed BP-NGD passive circuit was designed; in [21][22], an active transversal-filter-based BP-NGD circuit was introduced.…”

Section: Introductionmentioning

confidence: 99%

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Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function

Guérin

Liu

Douyère³

et al. 2021

IEEE Access

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This paper develops an original circuit theory of unfamiliar stop-band (SB) negative group delay (NGD) topology. The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and lowpass (LP) NGD composite circuits. The analytical investigation of the SB-NGD circuit is introduced from the elaboration of voltage transfer function (VTF). The canonical form enabling to identify SB-NGD circuit is analytically expressed. The different SB-NGD characteristics as GD value, and, center and cut-off frequencies are innovatively formulated in function of the circuit resistor and capacitor components. The existence condition of SB-NGD function is also established. The inductorless SB-NGD topology is validated by a proof-of-concept (POC) circuit implemented by surface-mounted-device (SMD) component based printed circuit board (PCB). The measured VTF magnitude and group delay (GD) are extracted from the experimented S-parameters. A good agreement between the calculated, simulated and measured results is obtained. The SB-NGD behavior has measured center frequency of about 32 MHz. The lower-and upper-NGD cut-off frequencies are about 9.15 MHz and 98.3 MHz. The optimal NGD values at low and higher frequencies are -3.25 ns and -56 ps. INDEX TERMS Circuit theory, Negative group delay (NGD), Stop-band (SB) NGD function, Passive cell, Inductorless topology.

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High-pass negative group delay analysis of single capacitor three-port circuit

Murad

Jaomiary²,

Yazdani³

et al. 2023

COMPEL

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Purpose This paper aims to develop high-pass (HP) negative group delay (NGD) investigation based on three-port lumped circuit. The main particularity of the proposed three-port passive topology is the consideration of only a single circuit element represented by a capacitor. Design/methodology/approach The methodology of the paper is to consider the S-matrix equivalent model derived from admittance matrix approach. So, an S-matrix equivalent model of a three-port circuit topology is established from admittance matrix approach. The frequency-dependent basic expressions are explored to perform the HP-NGD analysis. Then, the existence condition of HP-NGD function type is analytically demonstrated. The specific characteristics and synthesis equations of HP-NGD circuit with respect to the desired optimal NGD value are established. Findings After computing the frequency expressions to perform the HP-NGD analysis, this study demonstrated the existence condition of HP-NGD function type analytically. The validity of the HP-NGD theory is verified by a prototype of three-port circuit. The proof-of-concept (POC) single capacitor three-port circuit presents an NGD response and characteristics from analytical calculation and simulation is in very good correlation. Originality/value An innovative theory of HP-NGD three-port circuit is studied. The proposed HP-NGD topology is constituted by only a single capacitor. After the topological description, the S-matrix model is established from the Y-matrix by means of Kirchhoff voltage law and Kirchhoff current law equations. A POC of single capacitor three-port circuit was designed and simulated with a commercial tool. Then, a prototype with a surface-mounted device component was fabricated and tested. As expected, simulation and measurement results in very good agreement with the calculated model show the feasibility of the HP-NGD behavior. This work is compared to other NGD-type function with diverse number of ports and components.

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

Cited by 8 publications

References 36 publications

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

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

Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function

High-pass negative group delay analysis of single capacitor three-port circuit

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