Evolution of statistical properties for a nonlinearly propagating sinusoid

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    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.

    Original languageEnglish (US)
    Pages (from-to)EL8-EL13
    JournalJournal of the Acoustical Society of America
    Volume130
    Issue number1
    DOIs
    StatePublished - Jul 2011

    All Science Journal Classification (ASJC) codes

    • Arts and Humanities (miscellaneous)
    • Acoustics and Ultrasonics

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