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

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 low-pass (LP)...

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Veröffentlicht in:IEEE access 2021, Vol.9, p.100141-100153
Hauptverfasser: Guerin, Mathieu, Liu, Yang, Douyere, Alexandre, Chan, George, Wan, Fayu, Lallechere, Sebastien, Rahajandraibe, Wenceslas, Ravelo, Blaise
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container_issue
container_start_page 100141
container_title IEEE access
container_volume 9
creator Guerin, Mathieu
Liu, Yang
Douyere, Alexandre
Chan, George
Wan, Fayu
Lallechere, Sebastien
Rahajandraibe, Wenceslas
Ravelo, Blaise
description 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 low-pass (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.
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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 low-pass (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. 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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 low-pass (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.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/ACCESS.2021.3095814</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0001-8576-3733</orcidid><orcidid>https://orcid.org/0000-0003-2821-7212</orcidid><orcidid>https://orcid.org/0000-0001-7334-5016</orcidid><orcidid>https://orcid.org/0000-0003-1508-5927</orcidid><orcidid>https://orcid.org/0000-0001-7517-672X</orcidid><orcidid>https://orcid.org/0000-0002-5626-6065</orcidid><orcidid>https://orcid.org/0000-0001-9795-0667</orcidid><oa>free_for_read</oa></addata></record>
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subjects Canonical forms
Circuit boards
Circuit theory
Delays
Electronics
Engineering Sciences
Group delay
inductorless topology
Microwave filters
negative group delay (NGD)
Network topology
passive cell
Printed circuits
Resonant frequency
Semiconductor device measurement
stop-band (SB) NGD function
Topology
Transfer functions
title Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function
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