title: Evolution of statistical properties for a nonlinearly propagating sinusoid.
abstract: The nonlinear propagation of a pure sinusoid is considered using time domain statistics. The probability density function, standard deviation, skewness, kurtosis, and crest factor are computed for both the amplitude and amplitude time derivatives as a function of distance. The amplitude statistics vary only in the postshock realm, while the amplitude derivative statistics vary rapidly in the preshock realm. The statistical analysis also suggests that the sawtooth onset distance can be considered to be earlier than previously realized.
authors.affiliation: Applied Research Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA. mrs30@psu.edu
authors.forename: Micah R
authors.initials: MR
authors.lastname: Shepherd
authors.forename: Kent L
authors.initials: KL
authors.lastname: Gee
authors.forename: Amanda D
authors.initials: AD
authors.lastname: Hanford
mesh_terms: D000162:Acoustics; D015233:Models, Statistical; D009038:Motion; D017711:Nonlinear Dynamics; D013016:Sound; D013997:Time Factors