Reconstruction Technique of Distorted Sensor Signals with Low-Pass NGD Function

Ravelo, Blaise; Rahajandraibe, Wenceslas; Gan, Yajian; Wan, Fang; Murad, Nour; Douyère, Alexandre

doi:10.1109/access.2020.2994630

Cited by 18 publications

(25 citation statements)

References 39 publications

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“…-To reduce the cable delay [25], we are developing an equalization technique as introduced in [24,26] and -The distorted signal reconstruction proposed in [27].…”

Section: Discussionmentioning

confidence: 99%

Ac Low-Frequency Characterization of Stopband Negative Group Delay Circuit

Fenni¹,

Haddad²,

Gorshkov³

et al. 2021

PIER C

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This paper investigates the original circuit theory on stopband (SB) negative group delay (NGD) passive topology. The basic specifications of SB-NGD function are defined by considering the voltage transfer function (VTF) of the passive circuit. An original design method and experimentation tests of SB-NGD circuit are developed. The innovative theoretical analysis is elaborated from both magnitude and GD analytical expression of the VTF model from the resonant LC-series network passive topology. The mathematical existence condition of SB-NGD aspect is analytically explored in function of R, L, and C component parameters. The formulations of the basic equations enabling the calculation of the lumped components of the SB-NGD passive circuit in function of the desired specifications as NGD cut-off frequencies, NGD value and attenuation are established. To confirm the effectiveness of the original SB-NGD circuit theory, a proof-of-concept (POC) of SB-NGD circuit board is designed, simulated, fabricated, and experimented. As expected, despite the equivalent series resistor (ESR) effect of the inductor element, the theoretical modelling, simulation and measurement results are in good agreement. The SB-NGD behavior is confirmed with lower and upper cut-off frequencies, 0.7 kHz and 1.35 kHz, respectively. Furthermore, the corresponding NGD minimal values are −33 µs and −11 µs, respectively.

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“…-To reduce the cable delay [25], we are developing an equalization technique as introduced in [24,26] and -The distorted signal reconstruction proposed in [27].…”

Section: Discussionmentioning

confidence: 99%

Ac Low-Frequency Characterization of Stopband Negative Group Delay Circuit

Fenni¹,

Haddad²,

Gorshkov³

et al. 2021

PIER C

Self Cite

View full text Add to dashboard Cite

show abstract

“…The other equation is based on the given GD value: (29) at the angular frequency, , and bandwidth, . We can demonstrate by inverting equations ( 26) and ( 29) that the SB NGD canonical TF parameters can be determined by the relations: (30) .…”

Section: Synthesis Equations Of the Resistors And Capacitors Constituting The Sb-ngd Cellmentioning

confidence: 99%

“…Despite the previous validation study, we may wonder about the original NGD specification of the SB-NGD circuit under study. To avoid this ambiguity, a comparative study between different lumped element based different types of NGD circuits available in the literature [13][14][15][16][17][28][29][30][31][32][33][34][35] is drawn in the present subsection.…”

Section: E Comparative Study Between Different Types Of Ngd Circuitmentioning

confidence: 99%

“…With/without inductor lumped component [13] LP-NGD (A) With [14] (P) With [28] (A) Without [29] ( The study is essentially focused on the types of NGD function, passive or active circuit design and the presence of inductor lumped element. We can report from this state of the art that:…”

Section: Passive (P)/active (A)mentioning

confidence: 99%

“…• The existing LP-NGD circuits [13][14][28][29] were designed and implemented with both passive and active circuits and also the possibility with and without inductor.…”

Section: Passive (P)/active (A)mentioning

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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Investigation on four‐port mono‐capacitor circuit with high‐pass negative group delay behavior

Fenni

Haddad

Jaomiary

et al. 2021

Circuit Theory & Apps

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Most of the recent studies on unfamiliar negative group delay (NGD) circuit were focused on the classes of low-pass (LP) and bandpass (BP) topologies. So far, few research works are currently available in the literature on the highpass (HP) NGD class. This paper introduces an original HP-NGD circuit theory of four-port passive topology constituted by a single lumped capacitor. The S-matrix equivalent model of the innovative topology is established from the admittance matrix. The basic analytical frequency-dependent responses are expressed. Then, the GD model is derived in function of the capacitor. It was analytically found that the four-port mono-capacitor passive circuit is susceptible to behave as an unfamiliar class of HP-NGD function. An innovative HP-NGD analysis is explored in addition to the expression of synthesis design equation in function of the expected NGD cut-off frequency which is linked to NGD optimal value. The validity of the established HP-NGD theory is verified with a proof of concept (POC) circuit. As expected, the POC enables HP-NGD behavior to show a good correlation between analytical model which is confirmed by the simulation.

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Reconstruction Technique of Distorted Sensor Signals with Low-Pass NGD Function

Cited by 18 publications

References 39 publications

Ac Low-Frequency Characterization of Stopband Negative Group Delay Circuit

Ac Low-Frequency Characterization of Stopband Negative Group Delay Circuit

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

Investigation on four‐port mono‐capacitor circuit with high‐pass negative group delay behavior

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