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

Abstract : 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 cutoff 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 cutoff 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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https://hal.univ-reunion.fr/hal-03375103
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Submitted on : Tuesday, October 12, 2021 - 3:08:32 PM
Last modification on : Friday, April 1, 2022 - 3:48:13 AM
Long-term archiving on: : Thursday, January 13, 2022 - 7:53:54 PM

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Mathieu Guerin, Yang Liu, Alexandre Douyere, George Chan, Fayu Wan, et al.. Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function. IEEE Access, 2021, 9, pp.100141 - 100153. ⟨10.1109/access.2021.3095814⟩. ⟨hal-03375103⟩

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