Microwave Hilbert Transformer and its Applications in Real-time Analog Processing (RAP)
Abstract
A microwave Hilbert transformer is introduced as a new component for Real-time Analog Processing (RAP). In contrast to its optical counterpart, that resort to optical fiber gratings, this Hilbert transformer is based on the combination of a branch-line coupler and a loop resonator. The transfer function of the transformer is derived using signal flow graphs, and two figures of merits are introduced to effectively characterize the device: the rotated phase and the transition bandwidth. Moreover, a detailed physical explanation of its physical operation is given, using both a steady-state regime perspective and a transient regime perspective. The microwave RAP Hilbert transformer is demonstrated experimentally, and demonstrated in three applications: edge detection, peak suppression and single sideband modulation.
Cite
@article{arxiv.1808.06971,
title = {Microwave Hilbert Transformer and its Applications in Real-time Analog Processing (RAP)},
author = {Xiaoyi Wang and Zoé-Lise Deck-Léger and Lianfeng Zou and José Azaña and Christophe Caloz},
journal= {arXiv preprint arXiv:1808.06971},
year = {2019}
}