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Ocean wave autocorrelation function
Applied Mathematics and Computation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finding Autocorrelation Functions
IEEE Transactions on Education, 1968Finding autocorrelation functions for stochastic processes can be a complex and frustrating problem for the student. In this short paper we present a systematic approach to this problem that should reduce, or at least compartmentalize, this complexity.
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Quantum fractal noise: Time-autocorrelation functions
Physical Review A, 1992Starting from a distribution of time scales a quantum time-autocorrelation function (TAF) of a fluctuating force acting in a fractal environment is proposed as well as its associated mode density. The assumption of a stochastic Ornstein-Uhlenbeck process for every time scale gives rise to power laws for both the mode density and the TAF at frequencies ...
, White, , Velasco
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Generalized autocorrelation functions
Annual Meeting Optical Society of America, 1988The autocorrelation function (ACF) a, of a realvalued function f(x, y) (e.g., a monochromatic image) is ordinarily defined as Recently it has been proposed that in the study of spatial phase discrimination it might be useful to consider a generalized ACF.1 Suppose the nth order ACF of f is defined as Clearly af,1 (the ordinary ACF) fixes the power ...
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Calculation of a ‘‘narrowed’’ autocorrelation function
The Journal of the Acoustical Society of America, 1989A method of calculating an autocorrelation function with extremely narrow peaks is described. This is done by including terms in the autocorrelation expression corresponding to delays at 2τ, 3τ, etc., in addition to the usual term with delay τ. Implications in the frequency domain are explored.
J C, Brown, M S, Puckette
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Stress autocorrelation function in liquid rubidium
Physical Review A, 1988A molecular-dynamics simulation of the stress autocorrelation function \ensuremath{\eta}(t) is reported for a dense-liquid-rubidium model. The data indicate a rapid decay of the correlation function for t\ensuremath{\lesssim}0.3 ps and a somewhat slower time dependence thereafter.
, Balucani, , Vallauri, , Gaskell
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Second-order autocorrelation functions for all-reflective interferometric autocorrelator
Applied Physics B, 2007We investigate the characteristics of an all-reflective interferometric autocorrelator in which the reflective beam splitter has functions as a beam splitter and an optical delay line. Theoretical autocorrelation functions are derived as functions of the beam profile, gap width, and alignment conditions.
H. Mashiko, A. Suda, K. Midorikawa
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Sample Partial Autocorrelation Function
IEEE Transactions on Signal Processing, 1993A new estimation procedure for a partial autocorrelation coefficient of a stationary time series based on a natural geometrical analysis of the sample data is proposed. A method for autoregressive parameter estimation, which is midway between the constrained least squares procedure of Burg and the unconstrained one given by the for- ward-backward least
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Description III: Autocorrelation Function
1971We now show that the spectral density S(f) is the Fourier transform of 2R(τ): that is .
John D. Robson +3 more
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The Velocity Autocorrelation Function
2020We calculate the autocorrelation function of the velocity of a tagged particle in a state of thermal equilibrium. This function quantifies the manner in which the memory in the velocity decays as a function of time. It is shown that the velocity autocorrelation function is a decaying exponential function of t. The correlation time of the velocity turns
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