@Article{CMR-32-319,
author = {Liu , Xu and Wang , Haina},
title = {A Remark on Adaptive Decomposition for Nonlinear Time-Frequency Analysis},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {32},
number = {4},
pages = {319--324},
abstract = {<p style="text-align: justify;">In recent study the bank of real square integrable functions that have
nonlinear phases and admit a well-behaved Hilbert transform has been constructed
for adaptive representation of nonlinear signals. We first show in this paper that the
available basic functions are adequate for establishing an ideal adaptive decomposition algorithm. However, we also point out that the best approximation algorithm,
which is a common strategy in decomposing a function into a sum of functions in a
prescribed class of basis functions, should not be considered as a candidate for the
ideal algorithm.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.04.03},
url = {http://global-sci.org/intro/article_detail/cmr/18903.html}
}