NDLI: Quadratic Phase Coupling Detection in Harmonic Vibrations via an Order-Recursive AR Bispectrum Estimation

Content Provider	Springer Nature Link
Author	Gallego, Antoli Urdiales, Cristina Ruiz, Diego P.
Copyright Year	1999
Abstract	The paper proposes a bispectral scheme for quadratic phase-coupling (QPC) detection in harmonic signals in white and colored noise, possibly generated by non-linear vibrations. This scheme is carried out via an autoregressive bispectrum (AR) using several criteria to fix an optimum order for the AR model used. First, we propose a recursive-in-order algorithm for AR model-parameter calculation in the bispectrum estimation problem. This algorithm is based on the recursion-in-order minimization of appropriate squared errors with respect to the reflection coefficients, introduced by the Levinson recursion for Toeplitz and non-Hermitian matrices. The recursive nature in this method allows us to obtain the bispectrum of several orders up to the desired one, with significant computational savings. In computer simulations this method demonstrates its potential both in the estimation of signal bispectra and in QPC bispectral detection problems in noisy environments.
Starting Page	273
Ending Page	294
Page Count	22
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	19
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1999-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics Vibration, Dynamical Systems, Control Mechanical Engineering Automotive and Aerospace Engineering, Traffic
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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