High-pass negative group delay analysis of single capacitor three-port circuit
ISSN: 0332-1649
Article publication date: 7 March 2023
Issue publication date: 23 November 2023
Abstract
Purpose
This paper aims to develop high-pass (HP) negative group delay (NGD) investigation based on three-port lumped circuit. The main particularity of the proposed three-port passive topology is the consideration of only a single circuit element represented by a capacitor.
Design/methodology/approach
The methodology of the paper is to consider the S-matrix equivalent model derived from admittance matrix approach. So, an S-matrix equivalent model of a three-port circuit topology is established from admittance matrix approach. The frequency-dependent basic expressions are explored to perform the HP-NGD analysis. Then, the existence condition of HP-NGD function type is analytically demonstrated. The specific characteristics and synthesis equations of HP-NGD circuit with respect to the desired optimal NGD value are established.
Findings
After computing the frequency expressions to perform the HP-NGD analysis, this study demonstrated the existence condition of HP-NGD function type analytically. The validity of the HP-NGD theory is verified by a prototype of three-port circuit. The proof-of-concept (POC) single capacitor three-port circuit presents an NGD response and characteristics from analytical calculation and simulation is in very good correlation.
Originality/value
An innovative theory of HP-NGD three-port circuit is studied. The proposed HP-NGD topology is constituted by only a single capacitor. After the topological description, the S-matrix model is established from the Y-matrix by means of Kirchhoff voltage law and Kirchhoff current law equations. A POC of single capacitor three-port circuit was designed and simulated with a commercial tool. Then, a prototype with a surface-mounted device component was fabricated and tested. As expected, simulation and measurement results in very good agreement with the calculated model show the feasibility of the HP-NGD behavior. This work is compared to other NGD-type function with diverse number of ports and components.
Keywords
Acknowledgements
The authors address a grateful thank to Dr Eric Jean Roy Sambatra and Prof Blaise Ravelo for his scientific help about the NGD analysis and development.
Citation
Murad, N.M., Jaomiary, A., Yazdani, S., Haddad, F., Guerin, M., Chan, G., Rahajandraibe, W. and Baccar, S. (2023), "High-pass negative group delay analysis of single capacitor three-port circuit", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 42 No. 6, pp. 1311-1334. https://doi.org/10.1108/COMPEL-12-2021-0486
Publisher
:Emerald Publishing Limited
Copyright © 2023, Emerald Publishing Limited