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

• Published in: IEEE access Vol. 9; pp. 100141 - 100153
• Main Authors: Guerin, Mathieu, Liu, Yang, Douyere, Alexandre, Chan, George, Wan, Fayu, Lallechere, Sebastien, Rahajandraibe, Wenceslas, Ravelo, Blaise
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• 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; stop-band (SB) NGD function; passive cell; inductorless topology; negative group delay (NGD); Circuit theory
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2021.3095814

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.