Investigation on four‐port mono‐capacitor circuit with high‐pass negative group delay behavior

Abstract

Most of the recent studies on unfamiliar negative group delay (NGD) circuit were focused on the classes of low-pass (LP) and bandpass (BP) topologies. So far, few research works are currently available in the literature on the highpass (HP) NGD class. This paper introduces an original HP-NGD circuit theory of four-port passive topology constituted by a single lumped capacitor. The S-matrix equivalent model of the innovative topology is established from the admittance matrix. The basic analytical frequency-dependent responses are expressed. Then, the GD model is derived in function of the capacitor. It was analytically found that the four-port mono-capacitor passive circuit is susceptible to behave as an unfamiliar class of HP-NGD function. An innovative HP-NGD analysis is explored in addition to the expression of synthesis design equation in function of the expected NGD cut-off frequency which is linked to NGD optimal value. The validity of the established HP-NGD theory is verified with a proof of concept (POC) circuit. As expected, the POC enables HP-NGD behavior to show a good correlation between analytical model which is confirmed by the simulation.

Design Method of Constant Phase-Shifter Microwave Passive Integrated Circuit in 130-nm BiCMOS Technology With Bandpass-Type Negative Group Delay

“…It is noteworthy that the main difference is the fact that the filter is characterized from TF magnitude and the NGD is characterized from the TF group delay (GD). Based on the NGD-filter analogy, the innovative classification of low-pass (LP) [13][14][15][16][17], highpass (HP) [13][14][18][19][20][21], bandpass (BP) [4][5][6][7][8][9][10][11][12][13][14] and stopband (SB) [13][14][21][22][23] NGD topologies are identified. These different NGD topology types are characterized from the frequency band(s) where the GD is susceptible to be negative.…”