## Characterization, parameter estimation, and aircraft response statistics of atmospheric turbulenceWilliam D. Mark, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Langley Research Center National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1981 - Technology & Engineering - 219 pages |

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### Contents

SUMMARY | 1 |

AIRCRAFT RESPONSE PROBABILITY DENSITY FUNCTIONS | 29 |

MAXIMUM LIKELIHOOD ESTIMATION OF THE INTEGRAL | 73 |

11 other sections not shown

### Common terms and phrases

according to Eq af(t af(u aircraft impulse response aircraft response variable asymptotic Atmospheric Turbulence autocorrelation function Beranek and Newman Combining Eqs computed correlation function defined by Eq denote derivative described by Eq duration estimates of a2L evaluated expansion coefficients expected value expression Fj(L Fourier series Fourier transform Gaussian process given by Eq Hence instantaneous cross-spectral density integral scale interval Karman component Karman transverse spectrum locally stationary assumption locally stationary conditions longitudinal spectra maximum likelihood estimates mean-square response model of Eq normally distributed obtained power spectral density probability density functions process z(t random variables relative variance representation require respect response function right-hand side sample function series expansion shown in Fig side of Eq solution statistical stochastic tion transverse and longitudinal transverse or longitudinal turbulence model turbulence records value of a2 value of E(L wavenumber wf(t y y yy yields