2026-05-18
Time-Domain Analysis of Dual Bandpass Negative Group Delay of RLC-Network Based Lumped Passive Topology
By
Progress In Electromagnetics Research B, Vol. 117, 150-164, 2026
Abstract
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.
Citation
Idiris Aweis Hussein, Florent Manorosoa Tsivery Anjara, Habachi Bilal, Robert Wieser, Fayu Wan, Lagouge Tartibu, Marcellin Atemkeng, Glauco Fontgalland, Sébastien Lallechere, and Blaise Ravelo, "Time-Domain Analysis of Dual Bandpass Negative Group Delay of RLC-Network Based Lumped Passive Topology," PIER B, Vol. 117, 150-164, 2026.
doi:10.2528/PIERB26022101
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