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Higher-Order and Cyclostationary Statistics

1999
Until the mid-1980’s, signal processing — signal analysis, system identification, signal estimation problems, etc. — was primarily based on second-order statistical information. Autocorrelations and cross-correlations are examples of second-order statistics (SOS). The power spectrum which is widely used and contains useful information is again based on
A. McCormick, A. K. Nandi
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Steganalysis Using Higher-Order Image Statistics

IEEE Transactions on Information Forensics and Security, 2006
Techniques for information hiding (steganography) are becoming increasingly more sophisticated and widespread. With high-resolution digital images as carriers, detecting hidden messages is also becoming considerably more difficult. We describe a universal approach to steganalysis for detecting the presence of hidden messages embedded within digital ...
Siwei Lyu, Hany Farid
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Higher-order statistics and extreme waves

Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics, 2002
A sparse second-order time-domain Volterra model is used to decompose a random (sea) wave train into its first- and second-order components. Extreme waves are shown to result from short-term phase locking of the first- and second-order components. The feasibility of using a wavelet-based bicoherence "spectrum" to detect the strong, but short lived ...
E.J. Powers   +4 more
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Higher-order statistics: Discussion and interpretation

Measurement, 2013
Abstract The focus of the present review paper is the interpretation and estimation of the measurements based in higher-order statistics both in the time and in the frequency domains; and is concerned with statistical signal processing applied in scientific methods.
Juan José González de la Rosa   +3 more
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An Optimal Statistic Based on Higher Order Gaps

Biometrika, 1979
SUMMARY The family of statistics based on mth-order gaps from a uniform sample, obtained by summing a suitably regular function of each gap, is investigated. Holst (1979) has established asymptotic normality together with explicit expressions for the mean and variance.
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Thresholding for higher-order statistical denoising

SPIE Proceedings, 2008
Hard thresholding seems to work well for denoising signals using higher-order statistics. We statistically examined the best values for hard thresholding and related this to the fraction of wavelet coefficients set to zero to obtain the minimum MSE.
Samuel P. Kozaitis, Tim Young
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Adaptive approximation of higher order posterior statistics

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Higher-order statistics used for decomposition of SEMGs

Proceedings 12th IEEE Symposium on Computer-Based Medical Systems (Cat. No.99CB36365), 2003
The paper describes a higher-order statistics (HOS) approach feasible for decomposition of compound signals. Our novel method introduces asymptotically exact interpolation-based computation of bicepstra with no aliasing. We analysed it in order to establish the conditions under which surface electromyograms (SEMGs) could be decomposed onto their ...
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Nonlinear systems and higher-order statistics with applications

Signal Processing, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bibliography on higher-order statistics

Signal Processing, 1997
Ananthram Swami   +2 more
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