Estimating nonlinear chirp modes exploiting sparsity
Tu, Xiaotong LU
; Swärd, Johan
LU
; Jakobsson, Andreas
LU
and Li, Fucai
(2021)
In Signal Processing
183.
- Abstract
The decomposition of nonlinear chirp modes is a challenging task, typically requiring prior knowledge of the number of modes a signal contains. In this work, we present a greedy nonlinear chirp mode estimation (NCME) technique that forms the used decomposition basis from the signal itself, using an arctangent demodulation technique. The resulting decomposition is formed by considering the residual energy and smoothness of the instantaneous amplitude. We also derive a computationally efficient implementation of the resulting estimator, using the alternating direction method of multipliers (ADMM). Numerical simulations and experimental data analysis illustrate the effectiveness and advantages of the proposed method.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9efc2ad0-7aa3-4adf-8344-40320efd64a3
- author
- Tu, Xiaotong
LU
; Swärd, Johan
LU
; Jakobsson, Andreas
LU
and Li, Fucai
- organization
- publishing date
- 2021
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Fault diagnosis, Nonlinear chirps, Sparse modeling, Time-frequency analysis
- in
- Signal Processing
- volume
- 183
- article number
- 107952
- publisher
- Elsevier
- external identifiers
-
- scopus:85100101281
- ISSN
- 0165-1684
- DOI
- 10.1016/j.sigpro.2020.107952
- language
- English
- LU publication?
- yes
- id
- 9efc2ad0-7aa3-4adf-8344-40320efd64a3
- date added to LUP
- 2021-12-22 13:27:54
- date last changed
- 2022-04-27 06:49:45
@article{9efc2ad0-7aa3-4adf-8344-40320efd64a3,
abstract = {{<p>The decomposition of nonlinear chirp modes is a challenging task, typically requiring prior knowledge of the number of modes a signal contains. In this work, we present a greedy nonlinear chirp mode estimation (NCME) technique that forms the used decomposition basis from the signal itself, using an arctangent demodulation technique. The resulting decomposition is formed by considering the residual energy and smoothness of the instantaneous amplitude. We also derive a computationally efficient implementation of the resulting estimator, using the alternating direction method of multipliers (ADMM). Numerical simulations and experimental data analysis illustrate the effectiveness and advantages of the proposed method.</p>}},
author = {{Tu, Xiaotong and Swärd, Johan and Jakobsson, Andreas and Li, Fucai}},
issn = {{0165-1684}},
keywords = {{Fault diagnosis; Nonlinear chirps; Sparse modeling; Time-frequency analysis}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Signal Processing}},
title = {{Estimating nonlinear chirp modes exploiting sparsity}},
url = {{http://dx.doi.org/10.1016/j.sigpro.2020.107952}},
doi = {{10.1016/j.sigpro.2020.107952}},
volume = {{183}},
year = {{2021}},
}