Abstract
Nonlinearity indicators have recently been used to identify and characterize nonlinear effects present in high‐amplitude noise propagation. Although frequency‐domain approaches have many benefits, a time‐domain approach may be a more natural fit for the time‐domain phenomenon of wave form steepening and shock formation. Standard skewness and kurtosis metrics are computed for propagated Gaussian noise at both low and high amplitudes. The same higher‐order statistics are also computed for the first time derivative of the propagated noise in order to accentuate non‐Gaussian variation in the wave form. The results appear to reveal an asymptotic behavior of the statistical quantities as the time wave form becomes more shock dominated.
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