Abstract
The via ground (GND) structure constitutes one of the most useful elements for designing high performance printed circuit boards (PCBs). The electrical interconnections with vias become key regular solutions for the implementation of various electronic functions. However, so far, the vias are never being used for designing negative group delay (NGD) circuit. To answer this curious question, an original study on the design feasibility of low-pass NGD function with via ground is introduced in the present paper. After the topological description, the NGD analysis in function of the via parameters is established. The design equations allowing to synthesize the via in function of NGD function specifications are formulated. The developed NGD theory is verified with comparisons between calculations and simulations with a commercial tool. As expected, NGD value in order of hundred-picoseconds over hundred-megahertz cut-off frequencies is obtained with good agreement between the theoretical model and simulation. Furthermore, time domain analyses confirm that the via NGD structure enables to generate output signals in time-advance of arbitrary waveform input signals presenting limited bandwidth.
Highlights
To increase the performance of modern analog and digital communication devices, innovative and diverse electronic functions were developed
The LP negative group delay (NGD) analysis is based on the transmission coefficient given in equation (13) and especially the group delay (GD) expressed in the previous paragraph
It means from the present paragraph analysis that the via structure introduced in Figs. 1 is qualified as a LP NGD function with GD cut-off frequency and GD value formulated in equations (18) and (20), respectively
Summary
To increase the performance of modern analog and digital communication devices, innovative and diverse electronic functions were developed. Similar to all electronic functions, the physical sizes constitute one of major criteria for the qualification of NGD circuit performances In this optic, research works have been made to design compact NGD circuits [21], [22], [25]. C. NOVELTY OF NGD CIRCUIT CONSTITUTING ELEMENTS The democratization of NGD functions in the area of electronic and RF/microwave engineering depends on the understandability, theorization and design feasibility with their constituting components. In the best of the author’s knowledge, nowadays, the design of NGD circuit based on via-hole is not available in the literature This reason of originality is the main motivation of the present research paper. To generate the unfamiliar NGD function, a PCB design constituted by a dielectric substrate integrating via structure is introduced. Before the exploration of the novel NGD analysis of the via, the analytical modelling of the equivalent S-matrix model will be described in the subsection
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