@Article{FerreiraFreiDomiMaca:2015:DiCoWa,
author = "Ferreira, Maria Teodora and Freitas, Celso Bernardo N{\'o}brega
and Domingues, Margarete Oliveira and Macau, Elbert Einstein
Nehrer",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)} and {Instituto Nacional de Pesquisas
Espaciais (INPE)}",
title = "The discrete complex wavelet approach to phase assignment and a
new test bed for related methods",
journal = "Chaos",
year = "2015",
volume = "25",
number = "1",
pages = "013117",
month = "Jan.",
abstract = "A new approach based on the dual-tree complex wavelet transform is
introduced for phase assignment to non-linear oscillators, namely,
the Discrete Complex Wavelet Approach-DCWA. This methodology is
able to measure phase difference with enough accuracy to track
fine variations, even in the presence of Gaussian observational
noise and when only a single scalar measure of the oscillator is
available. So, it can be an especially interesting tool to deal
with experimental data. In order to compare it with other phase
detection techniques, a testbed is introduced. This testbed
provides time series from dynamics similar to non-linear
oscillators, such that a theoretical phase choice is known in
advance. Moreover, it allows to tune different types of phase
synchronization to test phase detection methods under a variety of
scenarios. Through numerical benchmarks, we report that the
proposed approach is a reliable alternative and that it is
particularly effective compared with other methodologies in the
presence of moderate to large noises.",
doi = "10.1063/1.4906814",
url = "http://dx.doi.org/10.1063/1.4906814",
issn = "1054-1500",
language = "en",
targetfile = "ferreira_discrete.pdf",
urlaccessdate = "28 abr. 2024"
}