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Sparse Time-Frequency decomposition for multiple signals with same frequencies

Hou, Thomas Y. and Shi, Zuoqiang (2015) Sparse Time-Frequency decomposition for multiple signals with same frequencies. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20160315-152129723

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Abstract

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven time-frequency analysis by updating the instantaneous frequencies simultaneously. Moreover, based on the simultaneously sparsity approximation and fast Fourier transform, some efficient algorithms is developed. Since the information of multiple signals is used, this method is very robust to the perturbation of noise. And it is applicable to the general nonperiodic signals even with missing samples or outliers. Several synthetic and real signals are used to test this method. The performances of this method are very promising.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1507.02037arXivDiscussion Paper
Additional Information:July 9, 2015. This work was supported by NSF FRG Grant DMS-1159138, DMS-1318377, an AFOSR MURI Grant FA9550-09-1-0613 and a DOE grant DE-FG02-06ER25727. The research of Dr. Z. Shi was supported by a NSFC Grant 11201257.
Funders:
Funding AgencyGrant Number
NSFDMS-1159138
NSFDMS-1318377
Air Force Office of Scientific Research (AFOSR)FA9550-09-1-0613
Department of Energy (DOE)DE-FG02-06ER25727
National Natural Science Foundation of China11201257
Record Number:CaltechAUTHORS:20160315-152129723
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160315-152129723
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65372
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Mar 2016 22:52
Last Modified:03 Oct 2019 09:46

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