@Article{JCM-42-4,
author = {Zheng, Chunxiong and Xianwei, Wen and Zhang, Jinyu and Zhou, Zhenya},
title = {Asymptotic Theory for the Circuit Envelope Analysis},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {4},
pages = {955--978},
abstract = {<p style="text-align: justify;">Asymptotic theory for the circuit envelope analysis is developed in this paper. A typical
feature of circuit envelope analysis is the existence of two significantly distinct timescales:
one is the fast timescale of carrier wave, and the other is the slow timescale of modulation
signal. We first perform pro forma asymptotic analysis for both the driven and autonomous
systems. Then resorting to the Floquet theory of periodic operators, we make a rigorous
justification for first-order asymptotic approximations. It turns out that these asymptotic
results are valid at least on the slow timescale. To speed up the computation of asymptotic
approximations, we propose a periodization technique, which renders the possibility of
utilizing the NUFFT algorithm. Numerical experiments are presented, and the results
validate the theoretical findings.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2301-m2022-0208},
url = {https://global-sci.com/article/91084/asymptotic-theory-for-the-circuit-envelope-analysis}
}