LOW-PASS NEGATIVE GROUP DELAY MODELLING AND EXPERIMENTATION WITH TRI-PORT RESISTORLESS PASSIVE CROSS-CIRCUIT
Eric Jean Roy Sambatra, Antonio Jaomiary, Samuel Ngoho, Samar S. Yazdani, Nour Mohammad Murad, George Chan, Blaise Ravelo
Abstract
This paper introduces an original study of low-pass (LP) negative group delay (NGD) circuit.The family of the proposed passive network cross-topology was rarely investigated in the literature.It acts as a tri-port passive circuit presenting a cross-shaped topology.The present study of tri-port passive circuit is originally based on S-matrix modelling.The identification method of LP-NGD function type is established.The considered passive tri-port topology is innovatively constituted by a resistorless LC-passive network.Thanks to the impedance 3-D matrix modelling, the cross-circuit S-parameters are analytically expressed.Then, the NGD analysis at very low-frequencies is presented.The LP-NGD behavior existence condition of the cross-circuit in function of the L and C components is established.The relevance of the tri-port NGD circuit theory is verified by a proof-of-concept of resistorless cross-circuit.Analytical modelling, simulation, and experimentation confirmed the LP-NGD design feasibility with NGD value of about -2 ns and 6.67 MHz cut-off frequency.