High-pass negative group delay analysis of single capacitor three-port circuit

• Published in: Compel Vol. 42; no. 6; pp. 1311 - 1334
• Main Authors: Murad, Nour Mohammad, Jaomiary, Antonio, Yazdani, Samar, Haddad, Fayrouz, Guerin, Mathieu, Chan, George, Wenceslas, Rahajandraibe, Baccar, Sahbi
• Format: Journal Article
• Language: English
• Published: Emerald 2023
• Subjects: Engineering Sciences; Micro and nanotechnologies; Microelectronics; high-pass (HP) negative group delay (NGD); NGD passive circuit; three-port topology; NGD specifications; HP-NGD analysis; Circuit theory
• ISSN: 0332-1649
• DOI: 10.1108/COMPEL-12-2021-0486

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.