IEVref: 103-09-07 ID: Language: en Status: Standard Term: autocorrelation function Synonym1: Synonym2: Synonym3: Symbol: Definition: for a deterministic function, correlation function of the function and a time-delayed replica for a stationary random function, mathematical expectation of the product of the function and a time-delayed replica: $C\left(t\right)=E\left[f\left(\tau \right)\text{\hspace{0.17em}}f\left(t+\tau \right)\right]$Note 1 to entry: The autocorrelation function of a deterministic function or a stationary random function is the inverse Fourier transform of its power spectral density. Note 2 to entry: When a stationary random function can be considered as ergodic, its autocorrelation function can be calculated from a particular sample: $C\left(t\right)=\underset{T\to \infty }{\text{lim}}\frac{1}{2T}{\int }_{\text{ }-T}^{\text{ }+T}f\left(\tau \right)f\left(t+\tau \right)\mathrm{d}\tau$ Publication date: 2009-12 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO 2017-08-25: Removed

tag between

• tags. LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: