Arbitrary Waveform Time-Domain Responses of RLC-Network Based BP-NGD Passive Cell

Abstract

A time-domain investigation of a Bandpass Negative Group Delay (BP-NGD) electronic circuit is proposed in this paper by utilizing a passive cell composed of single-stage parallel Resistive-Inductive-Capacitive-network (RLC-network). The provided configuration is analytically modelled and validated through circuit-level simulation. The BP-NGD circuit design method is elaborated. The performed study is based on both the frequency- and time-domain analyses of the considered BP-NGD passive topology within the NGD frequency band. As Virtual Proof-of-Concept (POC), the RLC-circuit was designed to achieve an NGD of approximately -45 µs around the center frequency of f_n = 50 kHz. To validate the time-advance behavior, Gaussian- and arbitrary-waveform signals modulating a sinusoidal carrier at frequency f_n are injected as inputs to the Virtual POC. Time-domain results demonstrate that the NGD behavior is manifested as an advance in the signal envelope, which does not violate causality. The performed circuit analysis establishes the effectiveness of passive RLC topologies for NGD realization in the low-frequency region with potential applications in signal synchronization and phase compensation.