Estimating nonlinear chirp modes exploiting sparsity

doi:10.1016/j.sigpro.2020.107952

Estimating nonlinear chirp modes exploiting sparsity

2021-06-01

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DOI：10.1016/j.sigpro.2020.107952

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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 estima-tion (NCME) technique that forms the used decomposition basis from the signal itself, using an arctan-gent demodulation technique. The resulting decomposition is formed by considering the residual energy and smoothness of the instantaneous amplitude. We also derive a computationally efficient implementa-tion 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. ? 2021 Elsevier B.V. All rights reserved.

Keywords:

Time-frequency analysis

Fault diagnosis

Nonlinear chirps

Sparse modeling

Estimating nonlinear chirp modes exploiting sparsity

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