期刊
SIGNAL PROCESSING
卷 96, 期 -, 页码 63-79出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2013.05.012
关键词
Non-stationary signals; Time-frequency methods; Non-stationary random vibration; Functional series models; Separable non-linear least squares; Adaptable basis functions; Time-varying mechanical structures
Functional series time-dependent autoregressive moving average (FS-TARMA) models are characterized by time varying parameters which are projected onto selected functional subspaces. They offer parsimonious and effective representations for a wide range of non-stationary random signals where the evolution in the dynamics is of deterministic nature. Yet, their identification remains challenging, with a main difficulty pertaining to the determination of the functional subspaces. In this study the problem is overcome via the introduction of the novel class of adaptable FS-TARMA (AFS-TARMA) models, that is models with basis functions properly parametrized and directly estimated based on the modeled signal. Model identification is effectively dealt with through a separable non-linear least squares (SNLS) based estimation procedure that decomposes the problem into two simpler subproblems: a quadratic one and a reduced-dimensionality non-quadratic constrained optimization one. The identification method also includes procedures for model order and subspace dimensionality selection. Its effectiveness is demonstrated via a Monte Carlo study, plus its application to the modeling of the non-stationary random mechanical vibration of an experimental pick-and-place mechanism. Comparisons with conventional FS-TARMA modeling, as well as additional alternatives, are used to illustrate the method's performance and potential advantages. (C) 2013 Elsevier B.V. All rights reserved.
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