Time-Domain Analysis of Dual Bandpass Negative Group Delay of RLC-Network Based Lumped Passive Topology
Idiris Aweis Hussein ,
Florent Manorosoa Tsivery Anjara ,
Habachi Bilal ,
Robert Wieser ,
Fayu Wan ,
Lagouge Tartibu ,
Marcellin Atemkeng ,
Glauco Fontgalland ,
Sébastien Lallechere and
Blaise Ravelo
An innovative analysis of a negative group delay (NGD) circuit exhibiting a dual bandpass (BP) characteristic is presented. The passive BP-NGD topology consists, essentially, of parallel RLC resonant networks. The BP-NGD topology is characterized by the NGD value, the NGD center frequency, and the attenuation, as functions of the constituent RLC resonant networks. The dual BP-NGD topology is designed using series impedances, which are composed of two distinct parallel RLC networks. After considering the reduced-order model of the passive cell within the NGD frequency range, which enables the determination of component values for the dual BP-NGD circuit, the circuit is formulated as a function of the desired NGD values and center frequencies. The feasibility of the design theory is verified through a proof-of-concept (PoC), designed to operate with the following specifications (1 MHz, -20 μs, -8 dB) and (2 MHz, -20 μs, -8 dB). First, a frequency-domain analysis of the PoC demonstrates the dual BP-NGD behavior, exhibiting an attenuation of approximately 8 dB. Subsequently, time-domain analyses were conducted using input signals with amplitude modulation on sinusoidal carriers at frequencies of 1 MHz, 1.5 MHz, and 2 MHz. The obtained results highlight the possibility of generating output signal envelopes that exhibit a temporal advancement relative to the input ones, provided that the input signal spectrum falls within the NGD bandwidth. However, the output envelope exhibits a positive delay when the input signal spectrum lies outside the NGD frequency band. A potential application principle for the dual BP-NGD circuit is discussed, specifically for the compensation of delay dispersion in electronic and communication systems.