TY - JOUR
T1 - Error Analysis for Sparse Time-Frequency Decomposition of Non- Integer Period Sampling Signals
AU - Qi Yang
JO - Journal of Information and Computing Science
VL - 1
SP - 025
EP - 034
PY - 2024
DA - 2024/01
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22429.html
KW - sparse time-frequency decomposition, non-integer period sampling, scale separation 

AB -  In  this  paper,  we  review  a  nonlinear  matching  pursuit  approach  (Hou  and  Shi,  2013),  a  data-
driven  time-frequency  analysis  method,  which  is  looking  for  the  sparsest  representation  of  multiscale  data 
over a dictionary consisting of all intrinsic mode functions (IMFs). In many practical problems, signals are 
non-integer period sampled. In other words, the time window may not contain exactly an integer number of 
signal periods. We consider the sparse time-frequency decomposition of non-integer period sampling signals 
by the nonlinear matching pursuit method and estimate the error. The estimation show that the relative error 
depends on the separation factor, the frequency ratio, and the number of periods of the IMF.