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Nonlinear systems and higher-order statistics

[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics, 2002
The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time ...
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Sequential detection using higher-order statistics

[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991
The binary hypothesis testing problem is formulated in the higher order statistics (HOS) domain, with the advantages that the test is insensitive to additive Gaussian noise of unknown covariance and insensitive to signal shifts. Unlike detection with a matched filter, the asymptotically maximum likelihood HOS-based test requires no prewhitening and no ...
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Higher-Order Statistical Properties of Speckle

2020
Based on the material presented in Chapter 3, the statistical properties of optical speckle at a single point in space (or, for dynamically changing speckle, a single point in time) are understood. Now we turn to the joint properties of two or more speckles, which can represent samples of a single statistically stationary speckle pattern, or, in the ...
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Higher-Order Statistics in Signal Processing

1998
First some definitions and properties with respect to higher-order statistics are highlighted to throw some light on the reasons for strong interests of the signal processing community over the last ten years in this research field. Later blind source separation, blind system identification, time-delay estimation, and blind equalization are introduced ...
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Reduced order and surrogate models for gravitational waves

Living Reviews in Relativity, 2022
Manuel Tiglio, Aaron Villanueva
exaly  

Higher-Order Statistics: Preliminaries

2008
Shoukat M. A. A. Choudhury   +2 more
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Review of second-order models for adsorption systems

Journal of Hazardous Materials, 2006
Yuh-Shan Ho
exaly  

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