Bandpass NGD analysis of symmetric lumped Y-tree via tensorial analysis of networks formalism

Abstract

This paper develops an original theory of bandpass (BP) negative group delay (NGD) function from three-port symmetric circuit. The BP NGD analysis is applied first time to three-port topology. The present study develops originally a BP NGD investigation of three-port circuit constituted by R, L and C lumped components. The equivalent S-matrix modelling is elaborated with the uncommon circuit theory. To validate the theory, a lumped circuit proof of concept is designed and simulated. A group delay value of about −0.3 ns is observed at the NGD centre frequency of about 76 MHz over 214 MHz bandwidth. For the further understanding on the BP NGD behaviour, a parametric study with the variations of the resistor, inductor and capacitor components of the Y-tree is performed. The results of the present study guarantee a potential microwave communication application of BP NGD function notably for systems operating with ISM and IEEE 802.11 standards.

KEYWORDS:

• Circuit theory
• bandpass (BP) negative group delay (NGD) function
• Y-tree
• NGD topology
• three-port circuit
• symmetric passive topology
• tensorial analysis of networks (TAN)
• analytical modelling
• S-parameter modelling

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Deanship of Scientific Research at Prince Sattam bin Abdulaziz University, Saudi Arabia. This research work was also supported in part by NSFC under grant 61971230, in part by Jiangsu Specially Appointed Professor programme and Six Major Talents Summit of Jiangsu Province (2019-DZXX-022) and in part by the Startup Foundation for Introducing Talent of NUIST, in part by the Postgraduate Research & Practice Innovation Program of Jiangsu Province under grant KYCX20_0966.