Journal ArticleDOI
The identification of polynomial systems by means of higher order spectra
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TLDR
In this paper, a polynomial system is defined as a system that carries a signal of the form X 1 ( t ) + αX 2 ( t ), − ∞ t.About:
This article is published in Journal of Sound and Vibration.The article was published on 1970-07-01. It has received 145 citations till now. The article focuses on the topics: Matrix polynomial & Stable polynomial.read more
Citations
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Bispectrum estimation: A digital signal processing framework
TL;DR: In this article, the authors place bispectrum estimation in a digital signal processing framework in order to aid engineers in grasping the utility of the available bispectral estimation techniques, and discuss application problems that can directly benefit from the use of the Bispectrum, and to motivate research in this area.
Journal ArticleDOI
Recurrent neural networks and robust time series prediction
J. Connor,R.D. Martin,Les Atlas +2 more
TL;DR: A robust learning algorithm is proposed and applied to recurrent neural networks, NARMA(p,q), which show advantages over feedforward neural networks for time series with a moving average component and are shown to give better predictions than neural networks trained on unfiltered time series.
Journal ArticleDOI
Multichannel blind identification: from subspace to maximum likelihood methods
Lang Tong,S. Perreau +1 more
TL;DR: A review of blind channel estimation algorithms is presented, from the (second-order) moment-based methods to the maximum likelihood approaches, under both statistical and deterministic signal models.
Journal ArticleDOI
Adaptive polynomial filters
TL;DR: The polynomial systems considered are those nonlinear systems whose output signals can be related to the input signals through a truncated Volterra series expansion or a recursive nonlinear difference equation.
Journal ArticleDOI
Identification of nonminimum phase systems using higher order statistics
TL;DR: The authors model a finite-dimensional system as an ARMA (autoregressive moving-average) rational function of known orders, but the special cases of AR, MA, and all-pass models are also considered.
References
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Book
Spectral analysis and its applications
TL;DR: In this paper, Spectral Analysis and its Applications, the authors present a set of applications of spectral analysis and its application in the field of spectroscopy, including the following:
Book
Nonlinear Problems in Random Theory
Norbert Wiener,T. Teichmann +1 more
TL;DR: A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory was given in this article, where the last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases.
Journal ArticleDOI
The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals
R. H. Cameron,W. T. Martin +1 more
TL;DR: In this paper, Kaczmarz and Steinhaus [I, pp. 143-144] showed that the equality W 1~~~~~~~~~~~~ |G a, ot(t) dx(t), *,Iap(t)-dx(t)] dwx (2.5) c 00 -p/2 L G(ui, *, up)euhu du,... du.